From d087a578f6997cbe16b06567cba87cd455428e07 Mon Sep 17 00:00:00 2001 From: stefryn <43548055+stefryn@users.noreply.github.com> Date: Wed, 9 Jun 2021 16:34:13 +0100 Subject: [PATCH 1/3] rheology test case at NEMOr1958 --- ICE_RHEO/EXPREF/README | 54 + ICE_RHEO/EXPREF/context_nemo.xml | 47 + ICE_RHEO/EXPREF/file_def_nemo-ice.xml | 58 + ICE_RHEO/EXPREF/file_def_nemo-oce.xml | 44 + ICE_RHEO/EXPREF/iodef.xml | 30 + ICE_RHEO/EXPREF/make_INITICE.py | 91 ++ ICE_RHEO/EXPREF/namelist_cfg | 267 ++++ ICE_RHEO/EXPREF/namelist_ice_cfg | 131 ++ ICE_RHEO/EXPREF/sishea_EAP.png | Bin 0 -> 843408 bytes ICE_RHEO/EXPREF/sishea_EVP.png | Bin 0 -> 787423 bytes ICE_RHEO/MY_SRC/icedyn_rhg_eap.F90 | 1763 +++++++++++++++++++++++++ ICE_RHEO/MY_SRC/icedyn_rhg_evp.F90 | 1078 +++++++++++++++ ICE_RHEO/MY_SRC/usrdef_hgr.F90 | 147 +++ ICE_RHEO/MY_SRC/usrdef_nam.F90 | 109 ++ ICE_RHEO/MY_SRC/usrdef_sbc.F90 | 222 ++++ ICE_RHEO/MY_SRC/usrdef_zgr.F90 | 109 ++ ICE_RHEO/cpp_ICE_RHEO.fcm | 1 + 17 files changed, 4151 insertions(+) create mode 100644 ICE_RHEO/EXPREF/README create mode 100644 ICE_RHEO/EXPREF/context_nemo.xml create mode 100644 ICE_RHEO/EXPREF/file_def_nemo-ice.xml create mode 100644 ICE_RHEO/EXPREF/file_def_nemo-oce.xml create mode 100644 ICE_RHEO/EXPREF/iodef.xml create mode 100644 ICE_RHEO/EXPREF/make_INITICE.py create mode 100644 ICE_RHEO/EXPREF/namelist_cfg create mode 100644 ICE_RHEO/EXPREF/namelist_ice_cfg create mode 100644 ICE_RHEO/EXPREF/sishea_EAP.png create mode 100644 ICE_RHEO/EXPREF/sishea_EVP.png create mode 100644 ICE_RHEO/MY_SRC/icedyn_rhg_eap.F90 create mode 100644 ICE_RHEO/MY_SRC/icedyn_rhg_evp.F90 create mode 100644 ICE_RHEO/MY_SRC/usrdef_hgr.F90 create mode 100644 ICE_RHEO/MY_SRC/usrdef_nam.F90 create mode 100644 ICE_RHEO/MY_SRC/usrdef_sbc.F90 create mode 100644 ICE_RHEO/MY_SRC/usrdef_zgr.F90 create mode 100644 ICE_RHEO/cpp_ICE_RHEO.fcm diff --git a/ICE_RHEO/EXPREF/README b/ICE_RHEO/EXPREF/README new file mode 100644 index 0000000..7c535ba --- /dev/null +++ b/ICE_RHEO/EXPREF/README @@ -0,0 +1,54 @@ +------- +purpose +------- +This demonstration case allows for examining the sea ice rheology under idealised +forcing. The set-up follows the paper "Stress and deformation characteristics of sea +ice in a high-resolution, anisotropic sea ice model" by Heorton et al, Phil. Trans, +R. Soc. 2018. + +----------- +Experiments +----------- +A range of experiments can be configured: + +- The suggested experiment is to examine the different shear patterns formed + by different rheologies. The default set-up reproduces the leftmost panels + of figure 3a (ln_rhg_EAP true in namelist_ice_cfg) and 3b (ln_rhg_EVP true in + namelist_ice_cfg). Increase the last time step in namelist_cfg appropriately + to generate the other panels. + +- The resolution of the box can be changed analogous to figure 2 of the paper + (change rn_dx and rn_dy in namelist_cfg, default is 2000m) + +- The ratio of the windstress component can be changed to cause different modes + of failure (Rwind in usrdef_sbc.F90, default is -0.8) + +It takes about 10 minutes to run a simulation on 16 processors + +---------- +How to run +---------- + +a) Compile and run the model once to get mesh_mask_xxxx.nc files. + E.g., starting in the root NEMO directory: + + ./makenemo -a ICE_RHEO -r ICE_RHEO_TEST -m X64_MOBILIS -j 4 + cd tests/ICE_RHEO_TEST/EXP00 + mpirun -np 1 ./nemo + +c) Create the initial condition file for sea-ice (initice.nc) by running + this python script: + + python ../../ICE_RHEO/EXPREF/make_INITICE.py + +d) Run the model a second time + + mpirun -np 16 ./nemo + +--------------- +What to look at +--------------- +EVP rheology has less defined shear strain maxima (linear kinematic +features). If the model is run longer one can see that the LKFs appearing +with EVP rheology intersect at a different angle than with EAP rheology + diff --git a/ICE_RHEO/EXPREF/context_nemo.xml b/ICE_RHEO/EXPREF/context_nemo.xml new file mode 100644 index 0000000..9ba0e12 --- /dev/null +++ b/ICE_RHEO/EXPREF/context_nemo.xml @@ -0,0 +1,47 @@ + + + + + + 1800 + 1026.0 + 3991.86795711963 + 0.99530670233846 + 917.0 + 330.0 + 1.e20 + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/ICE_RHEO/EXPREF/file_def_nemo-ice.xml b/ICE_RHEO/EXPREF/file_def_nemo-ice.xml new file mode 100644 index 0000000..2528038 --- /dev/null +++ b/ICE_RHEO/EXPREF/file_def_nemo-ice.xml @@ -0,0 +1,58 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/ICE_RHEO/EXPREF/file_def_nemo-oce.xml b/ICE_RHEO/EXPREF/file_def_nemo-oce.xml new file mode 100644 index 0000000..0dbbd21 --- /dev/null +++ b/ICE_RHEO/EXPREF/file_def_nemo-oce.xml @@ -0,0 +1,44 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/ICE_RHEO/EXPREF/iodef.xml b/ICE_RHEO/EXPREF/iodef.xml new file mode 100644 index 0000000..47d0220 --- /dev/null +++ b/ICE_RHEO/EXPREF/iodef.xml @@ -0,0 +1,30 @@ + + + + + + + + + + + + + 10 + false + false + oceanx + + + + + + + + + + + diff --git a/ICE_RHEO/EXPREF/make_INITICE.py b/ICE_RHEO/EXPREF/make_INITICE.py new file mode 100644 index 0000000..1991cec --- /dev/null +++ b/ICE_RHEO/EXPREF/make_INITICE.py @@ -0,0 +1,91 @@ +#!/usr/bin/python + +import os,sys +from netCDF4 import Dataset as netcdf +import numpy as np + +resname='' + +# input file +fcoord='mesh_mask.nc' + +# output file +fflx='initice.nc' + +print ' creating init ice file ' +fflx + +# Reading coordinates file +nccoord=netcdf(fcoord,'r') +nav_lon=nccoord.variables['glamt'][0,:,:] +nav_lat=nccoord.variables['gphit'][0,:,:] +time_counter=1 +LON1= nav_lon.shape[1] +LAT1= nav_lon.shape[0] +print 'nav_lon.shape[1]' ,nav_lon.shape[1] +print 'LON1 ', LON1 +print 'LAT1 ', LAT1 + +# Creating INITICE netcdf file +nc=netcdf(fflx,'w') +nc.createDimension('y',LAT1) +nc.createDimension('x',LON1) +nc.createDimension('time_counter',None) # Setting dimension size to 0 or None makes it unlimited. + +cdflon=nc.createVariable('nav_lon','f',('y','x')) +cdflat=nc.createVariable('nav_lat','f',('y','x')) +cdftimecounter=nc.createVariable('time_counter','f',('time_counter')) + +# ati : Fraction of open waters in sea ice - units % +# hti : Sea ice thickness - units m +# hts : Snow thickness - units m +# smi : Sea ice salinity: +# tmi : Sea ice internal temperature - units K +# tsu : Sea ice surface temperature - units K +# +# Take constant values from namelist &namiceini of NEMO +rn_hti_ini=2.0 +rn_hts_ini=0.1 # initial real snow thickness (m) +rn_ati_ini=0.99 # initial ice concentration (-) +rn_smi_ini=6.3 # initial ice salinity (g/kg) +rn_tmi_ini=270. # initial ice/snw temperature (K) +rn_tsu_ini=270. # initial sea ice temperature (K) +# +cdfati=nc.createVariable('ati','f',('time_counter','y','x')) +cdfati.units='Percentage' +cdfati.long_name='Sea ice concentration' +cdfhti=nc.createVariable('hti','f',('time_counter','y','x')) +cdfhti.long_name='Sea ice thickness' +cdfhti.units='m' +cdfhts=nc.createVariable('hts','f',('time_counter','y','x')) +cdfhts.long_name='Snow thickness' +cdfhts.units='m' +cdfsmi=nc.createVariable('smi','f',('time_counter','y','x')) +cdfsmi.long_name='Sea ice salinity' +cdfsmi.units='pss' +cdftmi=nc.createVariable('tmi','f',('time_counter','y','x')) +cdftmi.long_name='Sea ice internal temperature' +cdftmi.units='Kelvin' +cdftsu=nc.createVariable('tsu','f',('time_counter','y','x')) +cdftsu.long_name='Sea ice surface temperature' +cdftsu.units='Kelvin' + +cdflon[:,:]=nav_lon[:,:] +cdflat[:,:]=nav_lat[:,:] +cdftimecounter[0]=1 + +cdfati[:,:,:]=rn_ati_ini +cdfhts[:,:,:]=rn_hts_ini +cdfsmi[:,:,:]=rn_smi_ini +cdftmi[:,:,:]=rn_tmi_ini +cdftsu[:,:,:]=rn_tsu_ini + +# --- add noise in initial thickness to help nucleation of deformation --- +#for y in np.arange(1,1000,1) : +# for x in np.arange(1,1000,1) : +# cdfhti[:,y,x] = rn_hti_ini+0.02*rn_hti_ini*np.random.uniform(-1,1) +cdfhti[:,:,:]=rn_hti_ini + +nc.close() +nccoord.close() + +#sys.exit() diff --git a/ICE_RHEO/EXPREF/namelist_cfg b/ICE_RHEO/EXPREF/namelist_cfg new file mode 100644 index 0000000..fbb4a9b --- /dev/null +++ b/ICE_RHEO/EXPREF/namelist_cfg @@ -0,0 +1,267 @@ +!!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> +!! NEMO/OCE Configuration namelist : overwrite default values defined in SHARED/namelist_ref +!!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> +!! ICE_RHEO configuration !! +!!====================================================================== +!! *** Domain & Run management namelists *** !! +!! !! +!! namrun parameters of the run +!! namdom space and time domain +!! namcfg parameters of the configuration (default: user defined GYRE) +!! namwad Wetting and drying (default: OFF) +!! namtsd data: temperature & salinity (default: OFF) +!! namcrs coarsened grid (for outputs and/or TOP) (ln_crs =T) +!! namc1d 1D configuration options ("key_c1d") +!! namc1d_dyndmp 1D newtonian damping applied on currents ("key_c1d") +!! namc1d_uvd 1D data (currents) ("key_c1d") +!!====================================================================== +! +!----------------------------------------------------------------------- +&namusr_def ! ICE_RHEO user defined namelist +!----------------------------------------------------------------------- + rn_dx = 2000. ! horizontal resolution in meters + rn_dy = 2000. ! horizontal resolution in meters + ln_corio = .false. ! set coriolis=0 (false) or not (true) + rn_ppgphi0 = 90. ! Reference latitude [degrees] +/ +!----------------------------------------------------------------------- +&namrun ! parameters of the run +!----------------------------------------------------------------------- + nn_no = 0 ! job number (no more used...) + cn_exp = "ICE_RHEO" ! experience name + nn_it000 = 1 ! first time step + nn_itend = 720 ! last time step (std 5475) + nn_istate = 1 ! output the initial state (1) or not (0) +/ +!----------------------------------------------------------------------- +&namdom ! time and space domain +!----------------------------------------------------------------------- + ln_linssh = .true. ! =T linear free surface ==>> model level are fixed in time + ! + rn_Dt = 30. ! time step for the dynamics and tracer + ! + ln_meshmask = .true. ! =T create a mesh file +/ +!----------------------------------------------------------------------- +&namcfg ! parameters of the configuration (default: use namusr_def in namelist_cfg) +!----------------------------------------------------------------------- + ln_read_cfg = .false. ! (=T) read the domain configuration file + ! ! (=F) user defined configuration ==>>> see usrdef(_...) modules +/ +!----------------------------------------------------------------------- +&namtile ! parameters of the tiling +!----------------------------------------------------------------------- +/ +!!====================================================================== +!! *** Surface Boundary Condition namelists *** !! +!! !! +!! namsbc surface boundary condition manager (default: NO selection) +!! namsbc_flx flux formulation (ln_flx =T) +!! namsbc_blk Bulk formulae formulation (ln_blk =T) +!! namsbc_cpl CouPLed formulation ("key_oasis3" ) +!! namsbc_sas Stand-Alone Surface module (SAS_SRC only) +!! namsbc_iif Ice-IF: use observed ice cover (nn_ice = 1 ) +!! namtra_qsr penetrative solar radiation (ln_traqsr =T) +!! namsbc_ssr sea surface restoring term (for T and/or S) (ln_ssr =T) +!! namsbc_rnf river runoffs (ln_rnf =T) +!! namsbc_apr Atmospheric Pressure (ln_apr_dyn =T) +!! namsbc_wave external fields from wave model (ln_wave =T) +!! namberg iceberg floats (ln_icebergs=T) +!!====================================================================== +! +!----------------------------------------------------------------------- +&namsbc ! Surface Boundary Condition manager (default: NO selection) +!----------------------------------------------------------------------- + ln_usr = .true. ! user defined formulation (T => check usrdef_sbc) + ln_flx = .false. ! flux formulation (T => fill namsbc_flx ) + ln_blk = .false. ! Bulk formulation (T => fill namsbc_blk ) + nn_fsbc = 1 ! frequency of surface boundary condition computation + nn_ice = 2 ! sea-ice model +/ +!----------------------------------------------------------------------- +&namsbc_blk ! namsbc_blk generic Bulk formula (ln_blk =T) +!----------------------------------------------------------------------- + ! ! bulk algorithm : + ln_NCAR = .true. ! "NCAR" algorithm (Large and Yeager 2008) + ln_COARE_3p0 = .false. ! "COARE 3.0" algorithm (Fairall et al. 2003) + ln_COARE_3p6 = .false. ! "COARE 3.6" algorithm (Edson et al. 2013) + ln_ECMWF = .false. ! "ECMWF" algorithm (IFS cycle 45r1) + ! + rn_zqt = 10. ! Air temperature & humidity reference height (m) + rn_zu = 10. ! Wind vector reference height (m) + ln_Cd_L12 = .false. ! air-ice drags = F(ice conc.) (Lupkes et al. 2012) + ln_Cd_L15 = .false. ! air-ice drags = F(ice conc.) (Lupkes et al. 2015) + rn_pfac = 1. ! multiplicative factor for precipitation (total & snow) + rn_efac = 1. ! multiplicative factor for evaporation (0. or 1.) + + cn_dir = './' ! root directory for the bulk data location + !___________!_________________________!___________________!___________!_____________!________!___________!______________________________________!__________!_______________! + ! ! file name ! frequency (hours) ! variable ! time interp.! clim ! 'yearly'/ ! weights filename ! rotation ! land/sea mask ! + ! ! ! (if <0 months) ! name ! (logical) ! (T/F) ! 'monthly' ! ! pairing ! filename ! + sn_wndi = 'u_10.15JUNE2009_fill' , 3. , 'U_10_MOD', .true. , .true. , 'yearly' , '' , 'Uwnd' , '' + sn_wndj = 'v_10.15JUNE2009_fill' , 3. , 'V_10_MOD', .true. , .true. , 'yearly' , '' , 'Vwnd' , '' + sn_qsr = '' , 0. , 'SWDN_MOD', .false. , .true. , 'yearly' , '' , '' , '' + sn_qlw = '' , 0. , 'LWDN_MOD', .false. , .true. , 'yearly' , '' , '' , '' + sn_tair = '' , 0. , 'T_10_MOD', .false. , .true. , 'yearly' , '' , '' , '' + sn_humi = '' , 0. , 'Q_10_MOD', .false. , .true. , 'yearly' , '' , '' , '' + sn_prec = '' , 0. , 'PRC_MOD1', .false. , .true. , 'yearly' , '' , '' , '' + sn_snow = '' , 0. , 'SNOW' , .false. , .true. , 'yearly' , '' , '' , '' + sn_slp = '' , 0. , 'SLP' , .false. , .true. , 'yearly' , '' , '' , '' + +/ +!----------------------------------------------------------------------- +&namsbc_sas ! Stand-Alone Surface module: ocean data (SAS_SRC only) +!----------------------------------------------------------------------- + l_sasread = .false. ! =T Read in file ; =F set all to 0. (see sbcssm.F90) +/ +!!====================================================================== +!! *** Lateral boundary condition *** !! +!! !! +!! namlbc lateral momentum boundary condition (default: NO selection) +!! namagrif agrif nested grid (read by child model only) ("key_agrif") +!! nam_tide Tidal forcing (default: OFF) +!! nambdy Unstructured open boundaries (default: OFF) +!! nambdy_dta Unstructured open boundaries - external data (see nambdy) +!! nambdy_tide tidal forcing at open boundaries (default: OFF) +!!====================================================================== +! +!----------------------------------------------------------------------- +&namlbc ! lateral momentum boundary condition (default: NO selection) +!----------------------------------------------------------------------- + rn_shlat = 0. ! free slip +/ +!----------------------------------------------------------------------- +&namagrif ! AGRIF zoom ("key_agrif") +!----------------------------------------------------------------------- +/ +!!====================================================================== +!! *** Top/Bottom boundary condition *** !! +!! !! +!! namdrg top/bottom drag coefficient (default: NO selection) +!! namdrg_top top friction (ln_drg_OFF=F & ln_isfcav=T) +!! namdrg_bot bottom friction (ln_drg_OFF=F) +!! nambbc bottom temperature boundary condition (default: OFF) +!! nambbl bottom boundary layer scheme (default: OFF) +!!====================================================================== +! +!----------------------------------------------------------------------- +&namdrg ! top/bottom drag coefficient (default: NO selection) +!----------------------------------------------------------------------- + ln_drg_OFF = .false. ! free-slip : Cd = 0 (F => fill namdrg_bot +/ +!!====================================================================== +!! Tracer (T-S) namelists !! +!! !! +!! nameos equation of state (default: NO selection) +!! namtra_adv advection scheme (default: NO selection) +!! namtra_ldf lateral diffusion scheme (default: NO selection) +!! namtra_mle mixed layer eddy param. (Fox-Kemper param.) (default: OFF) +!! namtra_eiv eddy induced velocity param. (default: OFF) +!! namtra_dmp T & S newtonian damping (default: OFF) +!!====================================================================== +! +!----------------------------------------------------------------------- +&nameos ! ocean Equation Of Seawater (default: NO selection) +!----------------------------------------------------------------------- + ln_teos10 = .true. ! = Use TEOS-10 +/ +!----------------------------------------------------------------------- +&namtra_adv ! advection scheme for tracer (default: NO selection) +!----------------------------------------------------------------------- + ln_traadv_fct = .true. ! FCT scheme + nn_fct_h = 4 ! =2/4, horizontal 2nd / 4th order + nn_fct_v = 2 ! =2/4, vertical 2nd / COMPACT 4th order +/ +!---------------------------------------------------------------------------------- +&namtra_ldf ! lateral diffusion scheme for tracers (default: NO selection) +!---------------------------------------------------------------------------------- + ln_traldf_OFF = .true. ! laplacian operator +/ +!!====================================================================== +!! *** Dynamics namelists *** !! +!! !! +!! nam_vvl vertical coordinate options (default: z-star) +!! namdyn_adv formulation of the momentum advection (default: NO selection) +!! namdyn_vor advection scheme (default: NO selection) +!! namdyn_hpg hydrostatic pressure gradient (default: NO selection) +!! namdyn_spg surface pressure gradient (default: NO selection) +!! namdyn_ldf lateral diffusion scheme (default: NO selection) +!! namdta_dyn offline TOP: dynamics read in files (OFF_SRC only) +!!====================================================================== +! +!----------------------------------------------------------------------- +&namdyn_adv ! formulation of the momentum advection (default: NO selection) +!----------------------------------------------------------------------- + ln_dynadv_OFF = .true. ! linear dynamics (no momentum advection) +/ +!----------------------------------------------------------------------- +&namdyn_hpg ! Hydrostatic pressure gradient option (default: NO selection) +!----------------------------------------------------------------------- + ln_hpg_zco = .true. ! z-coordinate - full steps +/ +!----------------------------------------------------------------------- +&namdyn_spg ! surface pressure gradient (default: NO selection) +!----------------------------------------------------------------------- + ln_dynspg_ts = .true. ! split-explicit free surface +/ +!----------------------------------------------------------------------- +&namdyn_ldf ! lateral diffusion on momentum (default: NO selection) +!----------------------------------------------------------------------- + ln_dynldf_OFF = .true. ! No operator (i.e. no explicit diffusion) +/ +!!====================================================================== +!! vertical physics namelists !! +!! !! +!! namzdf vertical physics manager (default: NO selection) +!! namzdf_ric richardson number vertical mixing (ln_zdfric=T) +!! namzdf_tke TKE vertical mixing (ln_zdftke=T) +!! namzdf_gls GLS vertical mixing (ln_zdfgls=T) +!! namzdf_osm OSM vertical diffusion (ln_zdfosm=T) +!! namzdf_iwm tidal mixing parameterization (ln_zdfiwm=T) +!!====================================================================== +! +!----------------------------------------------------------------------- +&namzdf ! vertical physics manager (default: NO selection) +!----------------------------------------------------------------------- + ln_zdfcst = .true. ! constant mixing +/ +!!====================================================================== +!! *** Diagnostics namelists *** !! +!! !! +!! namtrd dynamics and/or tracer trends (default: OFF) +!! namhsb Heat and salt budgets (default: OFF) +!! namdiu Cool skin and warm layer models (default: OFF) +!! namdiu Cool skin and warm layer models (default: OFF) +!! namflo float parameters (default: OFF) +!! nam_diadct transports through some sections (default: OFF) +!! nam_dia25h 25h Mean Output (default: OFF) +!! namnc4 netcdf4 chunking and compression settings ("key_netcdf4") +!!====================================================================== +! +!!====================================================================== +!! *** Observation & Assimilation *** !! +!! !! +!! namobs observation and model comparison (default: OFF) +!! nam_asminc assimilation increments ('key_asminc') +!!====================================================================== +! +!!====================================================================== +!! *** Miscellaneous namelists *** !! +!! !! +!! nammpp Massively Parallel Processing +!! namctl Control prints (default: OFF) +!! namsto Stochastic parametrization of EOS (default: OFF) +!!====================================================================== +! +!----------------------------------------------------------------------- +&nammpp ! Massively Parallel Processing +!----------------------------------------------------------------------- +/ +!----------------------------------------------------------------------- +&namctl ! Control prints (default: OFF) +!----------------------------------------------------------------------- +/ +!----------------------------------------------------------------------- +&namsto ! Stochastic parametrization of EOS (default: OFF) +!----------------------------------------------------------------------- +/ diff --git a/ICE_RHEO/EXPREF/namelist_ice_cfg b/ICE_RHEO/EXPREF/namelist_ice_cfg new file mode 100644 index 0000000..796e003 --- /dev/null +++ b/ICE_RHEO/EXPREF/namelist_ice_cfg @@ -0,0 +1,131 @@ +!!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> +!! SI3 configuration namelist: Overwrites SHARED/namelist_ice_ref +!! 1 - Generic parameters (nampar) +!! 2 - Ice thickness discretization (namitd) +!! 3 - Ice dynamics (namdyn) +!! 4 - Ice ridging/rafting (namdyn_rdgrft) +!! 5 - Ice rheology (namdyn_rhg) +!! 6 - Ice advection (namdyn_adv) +!! 7 - Ice surface boundary conditions (namsbc) +!! 8 - Ice thermodynamics (namthd) +!! 9 - Ice heat diffusion (namthd_zdf) +!! 10 - Ice lateral melting (namthd_da) +!! 11 - Ice growth in open water (namthd_do) +!! 12 - Ice salinity (namthd_sal) +!! 13 - Ice melt ponds (namthd_pnd) +!! 14 - Ice initialization (namini) +!! 15 - Ice/snow albedos (namalb) +!! 16 - Ice diagnostics (namdia) +!!>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> +! +!------------------------------------------------------------------------------ +&nampar ! Generic parameters +!------------------------------------------------------------------------------ + jpl = 1 ! number of ice categories + ln_icedyn = .true. ! ice dynamics (T) or not (F) + ln_icethd = .false. ! ice thermo (T) or not (F) +/ +!------------------------------------------------------------------------------ +&namitd ! Ice discretization +!------------------------------------------------------------------------------ +/ +!------------------------------------------------------------------------------ +&namdyn ! Ice dynamics +!------------------------------------------------------------------------------ + ln_dynALL = .true. ! dyn.: full ice dynamics (rheology + advection + ridging/rafting + correction) + ln_dynRHGADV = .false. ! dyn.: no ridge/raft & no corrections (rheology + advection) + ln_dynADV1D = .false. ! dyn.: only advection 1D (Schar & Smolarkiewicz 1996 test case) + ln_dynADV2D = .false. ! dyn.: only advection 2D w prescribed vel.(rn_uvice + advection) +/ +!------------------------------------------------------------------------------ +&namdyn_rdgrft ! Ice ridging/rafting +!------------------------------------------------------------------------------ + ln_str_H79 = .true. ! ice strength param.: Hibler_79 => P = pstar**exp(-c_rhg*A) + rn_pstar = 2700 ! ice strength thickness parameter [N/m2] + rn_crhg = 20.0 ! ice strength conc. parameter (-) +/ +!------------------------------------------------------------------------------ +&namdyn_rhg ! Ice rheology +!------------------------------------------------------------------------------ + ln_rhg_EVP = .false. ! EVP rheology + ln_aEVP = .false. ! adaptive rheology (Kimmritz et al. 2016 & 2017) + rn_creepl = 2.0e-9 ! creep limit [1/s] + rn_ecc = 2.0 ! eccentricity of the elliptical yield curve + nn_nevp = 200 ! number of EVP subcycles + rn_relast = 0.333 ! ratio of elastic timescale to ice time step: Telast = dt_ice * rn_relast + ! advised value: 1/3 (rn_nevp=120) or 1/9 (rn_nevp=300) + ln_rhg_EAP = .true. ! EAP rheology + nn_rhg_chkcvg = 0 ! check convergence of rheology + ! = 0 no check + ! = 1 check at the main time step (output xml: uice_cvg) + ! = 2 check at both main and rheology time steps (additional output: ice_cvg.nc) + ! this option 2 asks a lot of communications between cpu +/ +!------------------------------------------------------------------------------ +&namdyn_adv ! Ice advection +!------------------------------------------------------------------------------ + ln_adv_Pra = .true. ! Advection scheme (Prather) + ln_adv_UMx = .false. ! Advection scheme (Ultimate-Macho) + nn_UMx = 5 ! order of the scheme for UMx (1-5 ; 20=centered 2nd order) +/ +!------------------------------------------------------------------------------ +&namsbc ! Ice surface boundary conditions +!------------------------------------------------------------------------------ +/ +!------------------------------------------------------------------------------ +&namthd ! Ice thermodynamics +!------------------------------------------------------------------------------ +/ +!------------------------------------------------------------------------------ +&namthd_zdf ! Ice heat diffusion +!------------------------------------------------------------------------------ +/ +!------------------------------------------------------------------------------ +&namthd_da ! Ice lateral melting +!------------------------------------------------------------------------------ +/ +!------------------------------------------------------------------------------ +&namthd_do ! Ice growth in open water +!------------------------------------------------------------------------------ +/ +!------------------------------------------------------------------------------ +&namthd_sal ! Ice salinity +!------------------------------------------------------------------------------ +/ +!------------------------------------------------------------------------------ +&namthd_pnd ! Melt ponds +!------------------------------------------------------------------------------ +/ +!------------------------------------------------------------------------------ +&namini ! Ice initialization +!------------------------------------------------------------------------------ + ln_iceini = .true. ! activate ice initialization (T) or not (F) + nn_iceini_file = 1 ! 0 = Initialise sea ice based on SSTs + ! 1 = Initialise sea ice from single category netcdf file + ! 2 = Initialise sea ice from multi category restart file + rn_thres_sst = 2.0 ! max temp. above Tfreeze with initial ice = (sst - tfreeze) + rn_hti_ini_n = 3.0 ! initial ice thickness (m), North + rn_hts_ini_n = 0.1 ! initial snow thickness (m), North + rn_ati_ini_n = 0.99 ! initial ice concentration (-), North + rn_smi_ini_n = 6.3 ! initial ice salinity (g/kg), North + rn_tmi_ini_n = 270. ! initial ice temperature (K), North + rn_tsu_ini_n = 270. ! initial surface temperature (K), North + rn_tms_ini_n = 270. ! initial snw temperature (K), North + rn_apd_ini_n = 0.0 ! initial pond fraction (-), North + rn_hpd_ini_n = 0.0 ! initial pond depth (m), North + sn_hti = 'initice' , -12. ,'hti' , .false. , .true., 'yearly' , '' , '', '' + sn_hts = 'initice' , -12. ,'hts' , .false. , .true., 'yearly' , '' , '', '' + sn_ati = 'initice' , -12. ,'ati' , .false. , .true., 'yearly' , '' , '', '' + sn_tsu = 'initice' , -12. ,'tsu' , .false. , .true., 'yearly' , '' , '', '' + sn_tmi = 'initice' , -12. ,'tmi' , .false. , .true., 'yearly' , '' , '', '' + sn_smi = 'initice' , -12. ,'smi' , .false. , .true., 'yearly' , '' , '', '' + cn_dir='./' +/ +!------------------------------------------------------------------------------ +&namalb ! albedo parameters +!------------------------------------------------------------------------------ +/ +!------------------------------------------------------------------------------ +&namdia ! 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Ghx`}#V=FHJ literal 0 HcmV?d00001 diff --git a/ICE_RHEO/MY_SRC/icedyn_rhg_eap.F90 b/ICE_RHEO/MY_SRC/icedyn_rhg_eap.F90 new file mode 100644 index 0000000..115b6ff --- /dev/null +++ b/ICE_RHEO/MY_SRC/icedyn_rhg_eap.F90 @@ -0,0 +1,1763 @@ +MODULE icedyn_rhg_eap + !!====================================================================== + !! *** MODULE icedyn_rhg_eap *** + !! Sea-Ice dynamics : rheology Elasto-Viscous-Plastic + !!====================================================================== + !! History : - ! 2007-03 (M.A. Morales Maqueda, S. Bouillon) Original code + !! 3.0 ! 2008-03 (M. Vancoppenolle) adaptation to new model + !! - ! 2008-11 (M. Vancoppenolle, S. Bouillon, Y. Aksenov) add surface tilt in ice rheolohy + !! 3.3 ! 2009-05 (G.Garric) addition of the evp case + !! 3.4 ! 2011-01 (A. Porter) dynamical allocation + !! 3.5 ! 2012-08 (R. Benshila) AGRIF + !! 3.6 ! 2016-06 (C. Rousset) Rewriting + landfast ice + mEVP (Bouillon 2013) + !! 3.7 ! 2017 (C. Rousset) add aEVP (Kimmritz 2016-2017) + !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] + !! ! 2019 (S. Rynders, Y. Aksenov, C. Rousset) change into eap rheology from + !! CICE code (Tsamados, Heorton) + !!---------------------------------------------------------------------- +#if defined key_si3 + !!---------------------------------------------------------------------- + !! 'key_si3' SI3 sea-ice model + !!---------------------------------------------------------------------- + !! ice_dyn_rhg_eap : computes ice velocities from EVP rheology + !! rhg_eap_rst : read/write EVP fields in ice restart + !!---------------------------------------------------------------------- + USE phycst ! Physical constant + USE dom_oce ! Ocean domain + USE sbc_oce , ONLY : ln_ice_embd, nn_fsbc, ssh_m + USE sbc_ice , ONLY : utau_ice, vtau_ice, snwice_mass, snwice_mass_b + USE ice ! sea-ice: ice variables + USE icevar ! ice_var_sshdyn + USE icedyn_rdgrft ! sea-ice: ice strength + USE bdy_oce , ONLY : ln_bdy + USE bdyice +#if defined key_agrif + USE agrif_ice_interp +#endif + ! + USE in_out_manager ! I/O manager + USE iom ! I/O manager library + USE lib_mpp ! MPP library + USE lib_fortran ! fortran utilities (glob_sum + no signed zero) + USE lbclnk ! lateral boundary conditions (or mpp links) + USE prtctl ! Print control + + USE netcdf ! NetCDF library for convergence test + IMPLICIT NONE + PRIVATE + + PUBLIC ice_dyn_rhg_eap ! called by icedyn_rhg.F90 + PUBLIC rhg_eap_rst ! called by icedyn_rhg.F90 + + REAL(wp), PARAMETER :: pphi = 3.141592653589793_wp/12._wp ! diamond shaped floe smaller angle (default phi = 30 deg) + + ! look-up table for calculating structure tensor + INTEGER, PARAMETER :: nx_yield = 41 + INTEGER, PARAMETER :: ny_yield = 41 + INTEGER, PARAMETER :: na_yield = 21 + + REAL(wp), DIMENSION(nx_yield, ny_yield, na_yield) :: s11r, s12r, s22r, s11s, s12s, s22s + + !! * Substitutions +# include "do_loop_substitute.h90" +# include "domzgr_substitute.h90" + + !! for convergence tests + INTEGER :: ncvgid ! netcdf file id + INTEGER :: nvarid ! netcdf variable id + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: aimsk00 + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: eap_res , aimsk15 + !!---------------------------------------------------------------------- + !! NEMO/ICE 4.0 , NEMO Consortium (2018) + !! $Id: icedyn_rhg_eap.F90 11536 2019-09-11 13:54:18Z smasson $ + !! Software governed by the CeCILL license (see ./LICENSE) + !!---------------------------------------------------------------------- +CONTAINS + + SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear_i, pdivu_i, pdelta_i, paniso_11, paniso_12, prdg_conv ) + !!------------------------------------------------------------------- + !! *** SUBROUTINE ice_dyn_rhg_eap *** + !! EAP-C-grid + !! + !! ** purpose : determines sea ice drift from wind stress, ice-ocean + !! stress and sea-surface slope. Ice-ice interaction is described by + !! a non-linear elasto-anisotropic-plastic (EAP) law including shear + !! strength and a bulk rheology . + !! + !! The points in the C-grid look like this, dear reader + !! + !! (ji,jj) + !! | + !! | + !! (ji-1,jj) | (ji,jj) + !! --------- + !! | | + !! | (ji,jj) |------(ji,jj) + !! | | + !! --------- + !! (ji-1,jj-1) (ji,jj-1) + !! + !! ** Inputs : - wind forcing (stress), oceanic currents + !! ice total volume (vt_i) per unit area + !! snow total volume (vt_s) per unit area + !! + !! ** Action : - compute u_ice, v_ice : the components of the + !! sea-ice velocity vector + !! - compute delta_i, shear_i, divu_i, which are inputs + !! of the ice thickness distribution + !! + !! ** Steps : 0) compute mask at F point + !! 1) Compute ice snow mass, ice strength + !! 2) Compute wind, oceanic stresses, mass terms and + !! coriolis terms of the momentum equation + !! 3) Solve the momentum equation (iterative procedure) + !! 4) Recompute delta, shear and divergence + !! (which are inputs of the ITD) & store stress + !! for the next time step + !! 5) Diagnostics including charge ellipse + !! + !! ** Notes : There is the possibility to use aEVP from the nice work of Kimmritz et al. (2016 & 2017) + !! by setting up ln_aEVP=T (i.e. changing alpha and beta parameters). + !! This is an upgraded version of mEVP from Bouillon et al. 2013 + !! (i.e. more stable and better convergence) + !! + !! References : Hunke and Dukowicz, JPO97 + !! Bouillon et al., Ocean Modelling 2009 + !! Bouillon et al., Ocean Modelling 2013 + !! Kimmritz et al., Ocean Modelling 2016 & 2017 + !!------------------------------------------------------------------- + INTEGER , INTENT(in ) :: kt ! time step + INTEGER , INTENT(in ) :: Kmm ! ocean time level index + REAL(wp), DIMENSION(:,:), INTENT(inout) :: pstress1_i, pstress2_i, pstress12_i ! + REAL(wp), DIMENSION(:,:), INTENT( out) :: pshear_i , pdivu_i , pdelta_i ! + REAL(wp), DIMENSION(:,:), INTENT(inout) :: paniso_11 , paniso_12 ! structure tensor components + REAL(wp), DIMENSION(:,:), INTENT(inout) :: prdg_conv ! for ridging + !! + INTEGER :: ji, jj ! dummy loop indices + INTEGER :: jter ! local integers + ! + REAL(wp) :: zrhoco ! rau0 * rn_cio + REAL(wp) :: zdtevp, z1_dtevp ! time step for subcycling + REAL(wp) :: ecc2, z1_ecc2 ! square of yield ellipse eccenticity + REAL(wp) :: zalph1, z1_alph1, zalph2, z1_alph2 ! alpha coef from Bouillon 2009 or Kimmritz 2017 + REAl(wp) :: zbetau, zbetav + REAL(wp) :: zm1, zm2, zm3, zmassU, zmassV, zvU, zvV ! ice/snow mass and volume + REAL(wp) :: zds2, zdt, zdt2, zdiv, zdiv2, zdsT ! temporary scalars + REAL(wp) :: zTauO, zTauB, zRHS, zvel ! temporary scalars + REAL(wp) :: zkt ! isotropic tensile strength for landfast ice + REAL(wp) :: zvCr ! critical ice volume above which ice is landfast + ! + REAL(wp) :: zintb, zintn ! dummy argument + REAL(wp) :: zfac_x, zfac_y + REAL(wp) :: zshear, zdum1, zdum2 + REAL(wp) :: zstressptmp, zstressmtmp, zstress12tmpF ! anisotropic stress tensor components + REAL(wp) :: zalphar, zalphas ! for mechanical redistribution + REAL(wp) :: zmresult11, zmresult12, z1dtevpkth, zp5kth, z1_dtevp_A ! for structure tensor evolution + REAL(wp) :: zinvw ! for test case + + ! + REAL(wp), DIMENSION(jpi,jpj) :: zstress12tmp ! anisotropic stress tensor component for regridding + REAL(wp), DIMENSION(jpi,jpj) :: zyield11, zyield22, zyield12 ! yield surface tensor for history + REAL(wp), DIMENSION(jpi,jpj) :: zdelta, zp_delt ! delta and P/delta at T points + REAL(wp), DIMENSION(jpi,jpj) :: zten_i ! tension + REAL(wp), DIMENSION(jpi,jpj) :: zbeta ! beta coef from Kimmritz 2017 + ! + REAL(wp), DIMENSION(jpi,jpj) :: zdt_m ! (dt / ice-snow_mass) on T points + REAL(wp), DIMENSION(jpi,jpj) :: zaU , zaV ! ice fraction on U/V points + REAL(wp), DIMENSION(jpi,jpj) :: zmU_t, zmV_t ! (ice-snow_mass / dt) on U/V points + REAL(wp), DIMENSION(jpi,jpj) :: zmf ! coriolis parameter at T points + REAL(wp), DIMENSION(jpi,jpj) :: v_oceU, u_oceV, v_iceU, u_iceV ! ocean/ice u/v component on V/U points + ! + REAL(wp), DIMENSION(jpi,jpj) :: zds ! shear + REAL(wp), DIMENSION(jpi,jpj) :: zs1, zs2, zs12 ! stress tensor components + REAL(wp), DIMENSION(jpi,jpj) :: zsshdyn ! array used for the calculation of ice surface slope: + ! ! ocean surface (ssh_m) if ice is not embedded + ! ! ice bottom surface if ice is embedded + REAL(wp), DIMENSION(jpi,jpj) :: zfU , zfV ! internal stresses + REAL(wp), DIMENSION(jpi,jpj) :: zspgU, zspgV ! surface pressure gradient at U/V points + REAL(wp), DIMENSION(jpi,jpj) :: zCorU, zCorV ! Coriolis stress array + REAL(wp), DIMENSION(jpi,jpj) :: ztaux_ai, ztauy_ai ! ice-atm. stress at U-V points + REAL(wp), DIMENSION(jpi,jpj) :: ztaux_oi, ztauy_oi ! ice-ocean stress at U-V points + REAL(wp), DIMENSION(jpi,jpj) :: ztaux_bi, ztauy_bi ! ice-OceanBottom stress at U-V points (landfast) + REAL(wp), DIMENSION(jpi,jpj) :: ztaux_base, ztauy_base ! ice-bottom stress at U-V points (landfast) + ! + REAL(wp), DIMENSION(jpi,jpj) :: zmsk01x, zmsk01y ! dummy arrays + REAL(wp), DIMENSION(jpi,jpj) :: zmsk00x, zmsk00y ! mask for ice presence + REAL(wp), DIMENSION(jpi,jpj) :: zfmask ! mask at F points for the ice + + REAL(wp), PARAMETER :: zepsi = 1.0e-20_wp ! tolerance parameter + REAL(wp), PARAMETER :: zmmin = 1._wp ! ice mass (kg/m2) below which ice velocity becomes very small + REAL(wp), PARAMETER :: zamin = 0.001_wp ! ice concentration below which ice velocity becomes very small + !! --- check convergence + REAL(wp), DIMENSION(jpi,jpj) :: zu_ice, zv_ice + !! --- diags + REAL(wp) :: zsig1, zsig2, zsig12, zfac, z1_strength + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zsig_I, zsig_II, zsig1_p, zsig2_p + !! --- SIMIP diags + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xmtrp_ice ! X-component of ice mass transport (kg/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_ymtrp_ice ! Y-component of ice mass transport (kg/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xmtrp_snw ! X-component of snow mass transport (kg/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_ymtrp_snw ! Y-component of snow mass transport (kg/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xatrp ! X-component of area transport (m2/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_yatrp ! Y-component of area transport (m2/s) + !!------------------------------------------------------------------- + + IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_rhg_eap: EAP sea-ice rheology' + ! + IF( kt == nit000 ) THEN + ! + ! for diagnostics + ALLOCATE( aimsk00(jpi,jpj) ) + ! for convergence tests + IF( nn_rhg_chkcvg > 0 ) ALLOCATE( eap_res(jpi,jpj), aimsk15(jpi,jpj) ) + ENDIF + ! + DO_2D( 1, 1, 1, 1 ) + aimsk00(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi06 ) ) ! 1 if ice , 0 if no ice + END_2D + IF( nn_rhg_chkcvg > 0 ) THEN + DO_2D( 1, 1, 1, 1 ) + aimsk15(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - 0.15_wp ) ) ! 1 if 15% ice, 0 if less + END_2D + ENDIF + ! +!!gm for Clem: OPTIMIZATION: I think zfmask can be computed one for all at the initialization.... + !------------------------------------------------------------------------------! + ! 0) mask at F points for the ice + !------------------------------------------------------------------------------! + ! ocean/land mask + DO_2D( 1, 0, 1, 0 ) + zfmask(ji,jj) = tmask(ji,jj,1) * tmask(ji+1,jj,1) * tmask(ji,jj+1,1) * tmask(ji+1,jj+1,1) + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', zfmask, 'F', 1._wp ) + + ! Lateral boundary conditions on velocity (modify zfmask) + DO_2D( 0, 0, 0, 0 ) + IF( zfmask(ji,jj) == 0._wp ) THEN + zfmask(ji,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(ji,jj,1), umask(ji,jj+1,1), & + & vmask(ji,jj,1), vmask(ji+1,jj,1) ) ) + ENDIF + END_2D + DO jj = 2, jpjm1 + IF( zfmask(1,jj) == 0._wp ) THEN + zfmask(1 ,jj) = rn_ishlat * MIN( 1._wp , MAX( vmask(2,jj,1), umask(1,jj+1,1), umask(1,jj,1) ) ) + ENDIF + IF( zfmask(jpi,jj) == 0._wp ) THEN + zfmask(jpi,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(jpi,jj+1,1), vmask(jpim1,jj,1), umask(jpi,jj-1,1) ) ) + ENDIF + END DO + DO ji = 2, jpim1 + IF( zfmask(ji,1) == 0._wp ) THEN + zfmask(ji, 1 ) = rn_ishlat * MIN( 1._wp , MAX( vmask(ji+1,1,1), umask(ji,2,1), vmask(ji,1,1) ) ) + ENDIF + IF( zfmask(ji,jpj) == 0._wp ) THEN + zfmask(ji,jpj) = rn_ishlat * MIN( 1._wp , MAX( vmask(ji+1,jpj,1), vmask(ji-1,jpj,1), umask(ji,jpjm1,1) ) ) + ENDIF + END DO + CALL lbc_lnk( 'icedyn_rhg_eap', zfmask, 'F', 1.0_wp ) + + !------------------------------------------------------------------------------! + ! 1) define some variables and initialize arrays + !------------------------------------------------------------------------------! + zrhoco = rho0 * rn_cio +!extra code for test case boundary conditions + zinvw=1._wp/(zrhoco*0.5_wp) + + ! ecc2: square of yield ellipse eccenticrity + ecc2 = rn_ecc * rn_ecc + z1_ecc2 = 1._wp / ecc2 + + ! alpha parameters (Bouillon 2009) + IF( .NOT. ln_aEVP ) THEN + zdtevp = rDt_ice / REAL( nn_nevp ) + zalph1 = 2._wp * rn_relast * REAL( nn_nevp ) + zalph2 = zalph1 * z1_ecc2 + + z1_alph1 = 1._wp / ( zalph1 + 1._wp ) + z1_alph2 = 1._wp / ( zalph2 + 1._wp ) + ELSE + zdtevp = rdt_ice + ! zalpha parameters set later on adaptatively + ENDIF + z1_dtevp = 1._wp / zdtevp + + ! Initialise stress tensor + zs1 (:,:) = pstress1_i (:,:) + zs2 (:,:) = pstress2_i (:,:) + zs12(:,:) = pstress12_i(:,:) + + ! constants for structure tensor + z1_dtevp_A = z1_dtevp/10.0_wp + z1dtevpkth = 1._wp / (z1_dtevp_A + 0.00002_wp) + zp5kth = 0.5_wp * 0.00002_wp + + ! Ice strength + CALL ice_strength + + ! landfast param from Lemieux(2016): add isotropic tensile strength (following Konig Beatty and Holland, 2010) + IF( ln_landfast_L16 ) THEN ; zkt = rn_lf_tensile + ELSE ; zkt = 0._wp + ENDIF + ! + !------------------------------------------------------------------------------! + ! 2) Wind / ocean stress, mass terms, coriolis terms + !------------------------------------------------------------------------------! + ! sea surface height + ! embedded sea ice: compute representative ice top surface + ! non-embedded sea ice: use ocean surface for slope calculation + zsshdyn(:,:) = ice_var_sshdyn( ssh_m, snwice_mass, snwice_mass_b) + + DO_2D( 0, 0, 0, 0 ) + + ! ice fraction at U-V points + zaU(ji,jj) = 0.5_wp * ( at_i(ji,jj) * e1e2t(ji,jj) + at_i(ji+1,jj) * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) + zaV(ji,jj) = 0.5_wp * ( at_i(ji,jj) * e1e2t(ji,jj) + at_i(ji,jj+1) * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) + + ! Ice/snow mass at U-V points + zm1 = ( rhos * vt_s(ji ,jj ) + rhoi * vt_i(ji ,jj ) ) + zm2 = ( rhos * vt_s(ji+1,jj ) + rhoi * vt_i(ji+1,jj ) ) + zm3 = ( rhos * vt_s(ji ,jj+1) + rhoi * vt_i(ji ,jj+1) ) + zmassU = 0.5_wp * ( zm1 * e1e2t(ji,jj) + zm2 * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) + zmassV = 0.5_wp * ( zm1 * e1e2t(ji,jj) + zm3 * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) + + ! Ocean currents at U-V points + v_oceU(ji,jj) = 0.25_wp * ( v_oce(ji,jj) + v_oce(ji,jj-1) + v_oce(ji+1,jj) + v_oce(ji+1,jj-1) ) * umask(ji,jj,1) + u_oceV(ji,jj) = 0.25_wp * ( u_oce(ji,jj) + u_oce(ji-1,jj) + u_oce(ji,jj+1) + u_oce(ji-1,jj+1) ) * vmask(ji,jj,1) + + ! Coriolis at T points (m*f) + zmf(ji,jj) = zm1 * ff_t(ji,jj) + + ! dt/m at T points (for alpha and beta coefficients) + zdt_m(ji,jj) = zdtevp / MAX( zm1, zmmin ) + + ! m/dt + zmU_t(ji,jj) = zmassU * z1_dtevp + zmV_t(ji,jj) = zmassV * z1_dtevp + + ! Drag ice-atm. + ztaux_ai(ji,jj) = zaU(ji,jj) * utau_ice(ji,jj) + ztauy_ai(ji,jj) = zaV(ji,jj) * vtau_ice(ji,jj) + + ! Surface pressure gradient (- m*g*GRAD(ssh)) at U-V points + zspgU(ji,jj) = - zmassU * grav * ( zsshdyn(ji+1,jj) - zsshdyn(ji,jj) ) * r1_e1u(ji,jj) + zspgV(ji,jj) = - zmassV * grav * ( zsshdyn(ji,jj+1) - zsshdyn(ji,jj) ) * r1_e2v(ji,jj) + + ! masks + zmsk00x(ji,jj) = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zmassU ) ) ! 0 if no ice + zmsk00y(ji,jj) = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zmassV ) ) ! 0 if no ice + + ! switches + IF( zmassU <= zmmin .AND. zaU(ji,jj) <= zamin ) THEN ; zmsk01x(ji,jj) = 0._wp + ELSE ; zmsk01x(ji,jj) = 1._wp ; ENDIF + IF( zmassV <= zmmin .AND. zaV(ji,jj) <= zamin ) THEN ; zmsk01y(ji,jj) = 0._wp + ELSE ; zmsk01y(ji,jj) = 1._wp ; ENDIF + + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', zmf, 'T', 1.0_wp, zdt_m, 'T', 1.0_wp ) + ! + ! !== Landfast ice parameterization ==! + ! + IF( ln_landfast_L16 ) THEN !-- Lemieux 2016 + DO_2D( 0, 0, 0, 0 ) + ! ice thickness at U-V points + zvU = 0.5_wp * ( vt_i(ji,jj) * e1e2t(ji,jj) + vt_i(ji+1,jj) * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) + zvV = 0.5_wp * ( vt_i(ji,jj) * e1e2t(ji,jj) + vt_i(ji,jj+1) * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) + ! ice-bottom stress at U points + zvCr = zaU(ji,jj) * rn_lf_depfra * hu(ji,jj,Kmm) * ( 1._wp - icb_mask(ji,jj) ) ! if grounded icebergs are read: ocean depth = 0 + ztaux_base(ji,jj) = - rn_lf_bfr * MAX( 0._wp, zvU - zvCr ) * EXP( -rn_crhg * ( 1._wp - zaU(ji,jj) ) ) + ! ice-bottom stress at V points + zvCr = zaV(ji,jj) * rn_lf_depfra * hv(ji,jj,Kmm) * ( 1._wp - icb_mask(ji,jj) ) ! if grounded icebergs are read: ocean depth = 0 + ztauy_base(ji,jj) = - rn_lf_bfr * MAX( 0._wp, zvV - zvCr ) * EXP( -rn_crhg * ( 1._wp - zaV(ji,jj) ) ) + ! ice_bottom stress at T points + zvCr = at_i(ji,jj) * rn_lf_depfra * ht(ji,jj) * ( 1._wp - icb_mask(ji,jj) ) ! if grounded icebergs are read: ocean depth = 0 + tau_icebfr(ji,jj) = - rn_lf_bfr * MAX( 0._wp, vt_i(ji,jj) - zvCr ) * EXP( -rn_crhg * ( 1._wp - at_i(ji,jj) ) ) + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', tau_icebfr(:,:), 'T', 1.0_wp ) + ! + ELSE !-- no landfast + DO_2D( 0, 0, 0, 0 ) + ztaux_base(ji,jj) = 0._wp + ztauy_base(ji,jj) = 0._wp + END_2D + ENDIF + + !------------------------------------------------------------------------------! + ! 3) Solution of the momentum equation, iterative procedure + !------------------------------------------------------------------------------! + ! + ! ! ==================== ! + DO jter = 1 , nn_nevp ! loop over jter ! + ! ! ==================== ! + l_full_nf_update = jter == nn_nevp ! false: disable full North fold update (performances) for iter = 1 to nn_nevp-1 + ! + ! convergence test + IF( nn_rhg_chkcvg == 1 .OR. nn_rhg_chkcvg == 2 ) THEN + DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) + zu_ice(ji,jj) = u_ice(ji,jj) * umask(ji,jj,1) ! velocity at previous time step + zv_ice(ji,jj) = v_ice(ji,jj) * vmask(ji,jj,1) + END_2D + ENDIF + + ! --- divergence, tension & shear (Appendix B of Hunke & Dukowicz, 2002) --- ! + DO_2D( 1, 0, 1, 0 ) + + ! shear at F points + zds(ji,jj) = ( ( u_ice(ji,jj+1) * r1_e1u(ji,jj+1) - u_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & + & + ( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & + & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) + + END_2D + + DO_2D( 0, 0, 0, 0 ) + + ! shear**2 at T points (doc eq. A16) + zds2 = ( zds(ji,jj ) * zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * zds(ji-1,jj ) * e1e2f(ji-1,jj ) & + & + zds(ji,jj-1) * zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & + & ) * 0.25_wp * r1_e1e2t(ji,jj) + + ! divergence at T points + zdiv = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & + & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & + & ) * r1_e1e2t(ji,jj) + zdiv2 = zdiv * zdiv + + ! tension at T points + zdt = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & + & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & + & ) * r1_e1e2t(ji,jj) + zdt2 = zdt * zdt + + ! delta at T points + zdelta(ji,jj) = SQRT( zdiv2 + ( zdt2 + zds2 ) * z1_ecc2 ) + + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', zdelta, 'T', 1.0_wp ) + + ! P/delta at T points + DO_2D( 1, 1, 1, 1 ) + zp_delt(ji,jj) = strength(ji,jj) / ( zdelta(ji,jj) + rn_creepl ) + END_2D + + DO_2D( 0, 1, 0, 1 ) ! loop ends at jpi,jpj so that no lbc_lnk are needed for zs1 and zs2 + + ! shear at T points + zdsT = ( zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * e1e2f(ji-1,jj ) & + & + zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & + & ) * 0.25_wp * r1_e1e2t(ji,jj) + + ! divergence at T points (duplication to avoid communications) + zdiv = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & + & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & + & ) * r1_e1e2t(ji,jj) + + ! tension at T points (duplication to avoid communications) + zdt = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & + & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & + & ) * r1_e1e2t(ji,jj) + + ! --- anisotropic stress calculation --- ! + CALL update_stress_rdg (jter, nn_nevp, zdiv, zdt, zdsT, paniso_11(ji,jj), paniso_12(ji,jj), & + zstressptmp, zstressmtmp, zstress12tmp(ji,jj), strength(ji,jj), zalphar, zalphas) + + ! structure tensor update + CALL calc_ffrac(zstressptmp, zstressmtmp, zstress12tmp(ji,jj), paniso_11(ji,jj), paniso_12(ji,jj), zmresult11, zmresult12) + + paniso_11(ji,jj) = (paniso_11(ji,jj) + 0.5*2.e-5*zdtevp + zmresult11*zdtevp) / (1. + 2.e-5*zdtevp) ! implicit + paniso_12(ji,jj) = (paniso_12(ji,jj) + zmresult12*zdtevp) / (1. + 2.e-5*zdtevp) ! implicit + + IF (jter == nn_nevp) THEN + zyield11(ji,jj) = 0.5_wp * (zstressptmp + zstressmtmp) + zyield22(ji,jj) = 0.5_wp * (zstressptmp - zstressmtmp) + zyield12(ji,jj) = zstress12tmp(ji,jj) + prdg_conv(ji,jj) = -min( zalphar, 0._wp) + ENDIF + + ! alpha for aEVP + ! gamma = 0.5*P/(delta+creepl) * (c*pi)**2/Area * dt/m + ! alpha = beta = sqrt(4*gamma) + IF( ln_aEVP ) THEN + zalph1 = MAX( 50._wp, rpi * SQRT( 0.5_wp * zp_delt(ji,jj) * r1_e1e2t(ji,jj) * zdt_m(ji,jj) ) ) + z1_alph1 = 1._wp / ( zalph1 + 1._wp ) + zalph2 = zalph1 + z1_alph2 = z1_alph1 + ! explicit: + ! z1_alph1 = 1._wp / zalph1 + ! z1_alph2 = 1._wp / zalph1 + ! zalph1 = zalph1 - 1._wp + ! zalph2 = zalph1 + ENDIF + + ! stress at T points (zkt/=0 if landfast) + zs1(ji,jj) = ( zs1(ji,jj) * zalph1 + zstressptmp ) * z1_alph1 + zs2(ji,jj) = ( zs2(ji,jj) * zalph1 + zstressmtmp ) * z1_alph1 + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', zstress12tmp, 'T', 1.0_wp , paniso_11, 'T', 1.0_wp , paniso_12, 'T', 1.0_wp) + + ! Save beta at T-points for further computations + IF( ln_aEVP ) THEN + DO_2D( 1, 1, 1, 1 ) + zbeta(ji,jj) = MAX( 50._wp, rpi * SQRT( 0.5_wp * zp_delt(ji,jj) * r1_e1e2t(ji,jj) * zdt_m(ji,jj) ) ) + END_2D + ENDIF + + DO_2D( 1, 0, 1, 0 ) + ! stress12tmp at F points + zstress12tmpF = ( zstress12tmp(ji,jj+1) * e1e2t(ji,jj+1) + zstress12tmp(ji+1,jj+1) * e1e2t(ji+1,jj+1) & + & + zstress12tmp(ji,jj ) * e1e2t(ji,jj ) + zstress12tmp(ji+1,jj ) * e1e2t(ji+1,jj ) & + & ) * 0.25_wp * r1_e1e2f(ji,jj) + + ! alpha for aEVP + IF( ln_aEVP ) THEN + zalph2 = MAX( zbeta(ji,jj), zbeta(ji+1,jj), zbeta(ji,jj+1), zbeta(ji+1,jj+1) ) + z1_alph2 = 1._wp / ( zalph2 + 1._wp ) + ! explicit: + ! z1_alph2 = 1._wp / zalph2 + ! zalph2 = zalph2 - 1._wp + ENDIF + + ! stress at F points (zkt/=0 if landfast) + zs12(ji,jj) = ( zs12(ji,jj) * zalph1 + zstress12tmpF ) * z1_alph1 + + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', zs1, 'T', 1.0_wp, zs2, 'T', 1.0_wp, zs12, 'F', 1.0_wp ) + + ! --- Ice internal stresses (Appendix C of Hunke and Dukowicz, 2002) --- ! + DO_2D( 0, 0, 0, 0 ) + ! !--- U points + zfU(ji,jj) = 0.5_wp * ( ( zs1(ji+1,jj) - zs1(ji,jj) ) * e2u(ji,jj) & + & + ( zs2(ji+1,jj) * e2t(ji+1,jj) * e2t(ji+1,jj) - zs2(ji,jj) * e2t(ji,jj) * e2t(ji,jj) & + & ) * r1_e2u(ji,jj) & + & + ( zs12(ji,jj) * e1f(ji,jj) * e1f(ji,jj) - zs12(ji,jj-1) * e1f(ji,jj-1) * e1f(ji,jj-1) & + & ) * 2._wp * r1_e1u(ji,jj) & + & ) * r1_e1e2u(ji,jj) + ! + ! !--- V points + zfV(ji,jj) = 0.5_wp * ( ( zs1(ji,jj+1) - zs1(ji,jj) ) * e1v(ji,jj) & + & - ( zs2(ji,jj+1) * e1t(ji,jj+1) * e1t(ji,jj+1) - zs2(ji,jj) * e1t(ji,jj) * e1t(ji,jj) & + & ) * r1_e1v(ji,jj) & + & + ( zs12(ji,jj) * e2f(ji,jj) * e2f(ji,jj) - zs12(ji-1,jj) * e2f(ji-1,jj) * e2f(ji-1,jj) & + & ) * 2._wp * r1_e2v(ji,jj) & + & ) * r1_e1e2v(ji,jj) + ! + ! !--- ice currents at U-V point + v_iceU(ji,jj) = 0.25_wp * ( v_ice(ji,jj) + v_ice(ji,jj-1) + v_ice(ji+1,jj) + v_ice(ji+1,jj-1) ) * umask(ji,jj,1) + u_iceV(ji,jj) = 0.25_wp * ( u_ice(ji,jj) + u_ice(ji-1,jj) + u_ice(ji,jj+1) + u_ice(ji-1,jj+1) ) * vmask(ji,jj,1) + ! + END_2D + ! + ! --- Computation of ice velocity --- ! + ! Bouillon et al. 2013 (eq 47-48) => unstable unless alpha, beta vary as in Kimmritz 2016 & 2017 + ! Bouillon et al. 2009 (eq 34-35) => stable + IF( MOD(jter,2) == 0 ) THEN ! even iterations + ! + DO_2D( 0, 0, 0, 0 ) + ! !--- tau_io/(v_oce - v_ice) + zTauO = zaV(ji,jj) * zrhoco * SQRT( ( v_ice (ji,jj) - v_oce (ji,jj) ) * ( v_ice (ji,jj) - v_oce (ji,jj) ) & + & + ( u_iceV(ji,jj) - u_oceV(ji,jj) ) * ( u_iceV(ji,jj) - u_oceV(ji,jj) ) ) + ! !--- Ocean-to-Ice stress + ztauy_oi(ji,jj) = zTauO * ( v_oce(ji,jj) - v_ice(ji,jj) ) + ! + ! !--- tau_bottom/v_ice + zvel = 5.e-05_wp + SQRT( v_ice(ji,jj) * v_ice(ji,jj) + u_iceV(ji,jj) * u_iceV(ji,jj) ) + zTauB = ztauy_base(ji,jj) / zvel + ! !--- OceanBottom-to-Ice stress + ztauy_bi(ji,jj) = zTauB * v_ice(ji,jj) + ! + ! !--- Coriolis at V-points (energy conserving formulation) + zCorV(ji,jj) = - 0.25_wp * r1_e2v(ji,jj) * & + & ( zmf(ji,jj ) * ( e2u(ji,jj ) * u_ice(ji,jj ) + e2u(ji-1,jj ) * u_ice(ji-1,jj ) ) & + & + zmf(ji,jj+1) * ( e2u(ji,jj+1) * u_ice(ji,jj+1) + e2u(ji-1,jj+1) * u_ice(ji-1,jj+1) ) ) + ! + ! !--- Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io + zRHS = zfV(ji,jj) + ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj) + ! + ! !--- landfast switch => 0 = static friction : TauB > RHS & sign(TauB) /= sign(RHS) + ! 1 = sliding friction : TauB < RHS + rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, zRHS + ztauy_base(ji,jj) ) - SIGN( 1._wp, zRHS ) ) ) + ! + IF( ln_aEVP ) THEN !--- ice velocity using aEVP (Kimmritz et al 2016 & 2017) + zbetav = MAX( zbeta(ji,jj), zbeta(ji,jj+1) ) + v_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * ( zbetav * v_ice(ji,jj) + v_ice_b(ji,jj) ) & ! previous velocity + & + zRHS + zTauO * v_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmV_t(ji,jj) * ( zbetav + 1._wp ) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * ( v_ice_b(ji,jj) & + & + v_ice (ji,jj) * MAX( 0._wp, zbetav - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) / ( zbetav + 1._wp ) & + & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00y(ji,jj) + ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) + v_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * v_ice(ji,jj) & ! previous velocity + & + zRHS + zTauO * v_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmV_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * v_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00y(ji,jj) + ENDIF +!extra code for test case boundary conditions + IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN + v_ice(ji,jj) = zinvw*(ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj)) + END IF + + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', v_ice, 'V', -1.0_wp ) + ! +#if defined key_agrif +!! CALL agrif_interp_ice( 'V', jter, nn_nevp ) + CALL agrif_interp_ice( 'V' ) +#endif + IF( ln_bdy ) CALL bdy_ice_dyn( 'V' ) + ! + DO_2D( 0, 0, 0, 0 ) + ! !--- tau_io/(u_oce - u_ice) + zTauO = zaU(ji,jj) * zrhoco * SQRT( ( u_ice (ji,jj) - u_oce (ji,jj) ) * ( u_ice (ji,jj) - u_oce (ji,jj) ) & + & + ( v_iceU(ji,jj) - v_oceU(ji,jj) ) * ( v_iceU(ji,jj) - v_oceU(ji,jj) ) ) + ! !--- Ocean-to-Ice stress + ztaux_oi(ji,jj) = zTauO * ( u_oce(ji,jj) - u_ice(ji,jj) ) + ! + ! !--- tau_bottom/u_ice + zvel = 5.e-05_wp + SQRT( v_iceU(ji,jj) * v_iceU(ji,jj) + u_ice(ji,jj) * u_ice(ji,jj) ) + zTauB = ztaux_base(ji,jj) / zvel + ! !--- OceanBottom-to-Ice stress + ztaux_bi(ji,jj) = zTauB * u_ice(ji,jj) + ! + ! !--- Coriolis at U-points (energy conserving formulation) + zCorU(ji,jj) = 0.25_wp * r1_e1u(ji,jj) * & + & ( zmf(ji ,jj) * ( e1v(ji ,jj) * v_ice(ji ,jj) + e1v(ji ,jj-1) * v_ice(ji ,jj-1) ) & + & + zmf(ji+1,jj) * ( e1v(ji+1,jj) * v_ice(ji+1,jj) + e1v(ji+1,jj-1) * v_ice(ji+1,jj-1) ) ) + ! + ! !--- Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io + zRHS = zfU(ji,jj) + ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj) + ! + ! !--- landfast switch => 0 = static friction : TauB > RHS & sign(TauB) /= sign(RHS) + ! 1 = sliding friction : TauB < RHS + rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, zRHS + ztaux_base(ji,jj) ) - SIGN( 1._wp, zRHS ) ) ) + ! + IF( ln_aEVP ) THEN !--- ice velocity using aEVP (Kimmritz et al 2016 & 2017) + zbetau = MAX( zbeta(ji,jj), zbeta(ji+1,jj) ) + u_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * ( zbetau * u_ice(ji,jj) + u_ice_b(ji,jj) ) & ! previous velocity + & + zRHS + zTauO * u_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmU_t(ji,jj) * ( zbetau + 1._wp ) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * ( u_ice_b(ji,jj) & + & + u_ice (ji,jj) * MAX( 0._wp, zbetau - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) / ( zbetau + 1._wp ) & + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00x(ji,jj) + ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) + u_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * u_ice(ji,jj) & ! previous velocity + & + zRHS + zTauO * u_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmU_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * u_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00x(ji,jj) + ENDIF +!extra code for test case boundary conditions + IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN + u_ice(ji,jj) = zinvw*(ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj)) + END IF + + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', u_ice, 'U', -1.0_wp ) + ! +#if defined key_agrif +!! CALL agrif_interp_ice( 'U', jter, nn_nevp ) + CALL agrif_interp_ice( 'U' ) +#endif + IF( ln_bdy ) CALL bdy_ice_dyn( 'U' ) + ! + ELSE ! odd iterations + ! + DO_2D( 0, 0, 0, 0 ) + ! !--- tau_io/(u_oce - u_ice) + zTauO = zaU(ji,jj) * zrhoco * SQRT( ( u_ice (ji,jj) - u_oce (ji,jj) ) * ( u_ice (ji,jj) - u_oce (ji,jj) ) & + & + ( v_iceU(ji,jj) - v_oceU(ji,jj) ) * ( v_iceU(ji,jj) - v_oceU(ji,jj) ) ) + ! !--- Ocean-to-Ice stress + ztaux_oi(ji,jj) = zTauO * ( u_oce(ji,jj) - u_ice(ji,jj) ) + ! + ! !--- tau_bottom/u_ice + zvel = 5.e-05_wp + SQRT( v_iceU(ji,jj) * v_iceU(ji,jj) + u_ice(ji,jj) * u_ice(ji,jj) ) + zTauB = ztaux_base(ji,jj) / zvel + ! !--- OceanBottom-to-Ice stress + ztaux_bi(ji,jj) = zTauB * u_ice(ji,jj) + ! + ! !--- Coriolis at U-points (energy conserving formulation) + zCorU(ji,jj) = 0.25_wp * r1_e1u(ji,jj) * & + & ( zmf(ji ,jj) * ( e1v(ji ,jj) * v_ice(ji ,jj) + e1v(ji ,jj-1) * v_ice(ji ,jj-1) ) & + & + zmf(ji+1,jj) * ( e1v(ji+1,jj) * v_ice(ji+1,jj) + e1v(ji+1,jj-1) * v_ice(ji+1,jj-1) ) ) + ! + ! !--- Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io + zRHS = zfU(ji,jj) + ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj) + ! + ! !--- landfast switch => 0 = static friction : TauB > RHS & sign(TauB) /= sign(RHS) + ! 1 = sliding friction : TauB < RHS + rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, zRHS + ztaux_base(ji,jj) ) - SIGN( 1._wp, zRHS ) ) ) + ! + IF( ln_aEVP ) THEN !--- ice velocity using aEVP (Kimmritz et al 2016 & 2017) + zbetau = MAX( zbeta(ji,jj), zbeta(ji+1,jj) ) + u_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * ( zbetau * u_ice(ji,jj) + u_ice_b(ji,jj) ) & ! previous velocity + & + zRHS + zTauO * u_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmU_t(ji,jj) * ( zbetau + 1._wp ) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * ( u_ice_b(ji,jj) & + & + u_ice (ji,jj) * MAX( 0._wp, zbetau - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) / ( zbetau + 1._wp ) & + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00x(ji,jj) + ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) + u_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * u_ice(ji,jj) & ! previous velocity + & + zRHS + zTauO * u_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmU_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * u_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00x(ji,jj) + ENDIF +!extra code for test case boundary conditions + IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN + u_ice(ji,jj) = zinvw*(ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj)) + END IF + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', u_ice, 'U', -1.0_wp ) + ! +#if defined key_agrif +!! CALL agrif_interp_ice( 'U', jter, nn_nevp ) + CALL agrif_interp_ice( 'U' ) +#endif + IF( ln_bdy ) CALL bdy_ice_dyn( 'U' ) + ! + DO_2D( 0, 0, 0, 0 ) + ! !--- tau_io/(v_oce - v_ice) + zTauO = zaV(ji,jj) * zrhoco * SQRT( ( v_ice (ji,jj) - v_oce (ji,jj) ) * ( v_ice (ji,jj) - v_oce (ji,jj) ) & + & + ( u_iceV(ji,jj) - u_oceV(ji,jj) ) * ( u_iceV(ji,jj) - u_oceV(ji,jj) ) ) + ! !--- Ocean-to-Ice stress + ztauy_oi(ji,jj) = zTauO * ( v_oce(ji,jj) - v_ice(ji,jj) ) + ! + ! !--- tau_bottom/v_ice + zvel = 5.e-05_wp + SQRT( v_ice(ji,jj) * v_ice(ji,jj) + u_iceV(ji,jj) * u_iceV(ji,jj) ) + zTauB = ztauy_base(ji,jj) / zvel + ! !--- OceanBottom-to-Ice stress + ztauy_bi(ji,jj) = zTauB * v_ice(ji,jj) + ! + ! !--- Coriolis at v-points (energy conserving formulation) + zCorV(ji,jj) = - 0.25_wp * r1_e2v(ji,jj) * & + & ( zmf(ji,jj ) * ( e2u(ji,jj ) * u_ice(ji,jj ) + e2u(ji-1,jj ) * u_ice(ji-1,jj ) ) & + & + zmf(ji,jj+1) * ( e2u(ji,jj+1) * u_ice(ji,jj+1) + e2u(ji-1,jj+1) * u_ice(ji-1,jj+1) ) ) + ! + ! !--- Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io + zRHS = zfV(ji,jj) + ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj) + ! + ! !--- landfast switch => 0 = static friction : TauB > RHS & sign(TauB) /= sign(RHS) + ! 1 = sliding friction : TauB < RHS + rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, zRHS + ztauy_base(ji,jj) ) - SIGN( 1._wp, zRHS ) ) ) + ! + IF( ln_aEVP ) THEN !--- ice velocity using aEVP (Kimmritz et al 2016 & 2017) + zbetav = MAX( zbeta(ji,jj), zbeta(ji,jj+1) ) + v_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * ( zbetav * v_ice(ji,jj) + v_ice_b(ji,jj) ) & ! previous velocity + & + zRHS + zTauO * v_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmV_t(ji,jj) * ( zbetav + 1._wp ) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * ( v_ice_b(ji,jj) & + & + v_ice (ji,jj) * MAX( 0._wp, zbetav - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) / ( zbetav + 1._wp ) & + & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00y(ji,jj) + ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) + v_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * v_ice(ji,jj) & ! previous velocity + & + zRHS + zTauO * v_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmV_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * v_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00y(ji,jj) + ENDIF +!extra code for test case boundary conditions + IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN + v_ice(ji,jj) = zinvw*(ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj)) + END IF + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', v_ice, 'V', -1.0_wp ) + ! +#if defined key_agrif +!! CALL agrif_interp_ice( 'V', jter, nn_nevp ) + CALL agrif_interp_ice( 'V' ) +#endif + IF( ln_bdy ) CALL bdy_ice_dyn( 'V' ) + ! + ENDIF + + ! convergence test + IF( nn_rhg_chkcvg == 2 ) CALL rhg_cvg_eap( kt, jter, nn_nevp, u_ice, v_ice, zu_ice, zv_ice ) + ! + ! ! ==================== ! + END DO ! end loop over jter ! + ! ! ==================== ! + IF( ln_aEVP ) CALL iom_put( 'beta_evp' , zbeta ) + ! + CALL lbc_lnk( 'icedyn_rhg_eap', prdg_conv, 'T', 1.0_wp ) ! only need this in ridging module after rheology completed + ! + !------------------------------------------------------------------------------! + ! 4) Recompute delta, shear and div (inputs for mechanical redistribution) + !------------------------------------------------------------------------------! + DO_2D( 1, 0, 1, 0 ) + + ! shear at F points + zds(ji,jj) = ( ( u_ice(ji,jj+1) * r1_e1u(ji,jj+1) - u_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & + & + ( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & + & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) + + END_2D + + DO_2D( 0, 0, 0, 0 ) + + ! tension**2 at T points + zdt = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & + & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & + & ) * r1_e1e2t(ji,jj) + zdt2 = zdt * zdt + + zten_i(ji,jj) = zdt + + ! shear**2 at T points (doc eq. A16) + zds2 = ( zds(ji,jj ) * zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * zds(ji-1,jj ) * e1e2f(ji-1,jj ) & + & + zds(ji,jj-1) * zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & + & ) * 0.25_wp * r1_e1e2t(ji,jj) + + ! shear at T points + pshear_i(ji,jj) = SQRT( zdt2 + zds2 ) + + ! divergence at T points + pdivu_i(ji,jj) = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & + & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & + & ) * r1_e1e2t(ji,jj) + + ! delta at T points + zfac = SQRT( pdivu_i(ji,jj) * pdivu_i(ji,jj) + ( zdt2 + zds2 ) * z1_ecc2 ) ! delta + rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zfac ) ) ! 0 if delta=0 + pdelta_i(ji,jj) = zfac + rn_creepl * rswitch ! delta+creepl + + END_2D + CALL lbc_lnk( 'icedyn_rhg_eap', pshear_i, 'T', 1.0_wp, pdivu_i, 'T', 1.0_wp, pdelta_i, 'T', 1.0_wp, & + & zten_i, 'T', 1.0_wp, zs1 , 'T', 1.0_wp, zs2 , 'T', 1.0_wp, & + & zs12, 'F', 1.0_wp ) + + ! --- Store the stress tensor for the next time step --- ! + pstress1_i (:,:) = zs1 (:,:) + pstress2_i (:,:) = zs2 (:,:) + pstress12_i(:,:) = zs12(:,:) + ! + + !------------------------------------------------------------------------------! + ! 5) diagnostics + !------------------------------------------------------------------------------! + ! --- ice-ocean, ice-atm. & ice-oceanbottom(landfast) stresses --- ! + IF( iom_use('utau_oi') .OR. iom_use('vtau_oi') .OR. iom_use('utau_ai') .OR. iom_use('vtau_ai') .OR. & + & iom_use('utau_bi') .OR. iom_use('vtau_bi') ) THEN + ! + CALL lbc_lnk( 'icedyn_rhg_eap', ztaux_oi, 'U', -1.0_wp, ztauy_oi, 'V', -1.0_wp, ztaux_ai, 'U', -1.0_wp, & + & ztauy_ai, 'V', -1.0_wp, ztaux_bi, 'U', -1.0_wp, ztauy_bi, 'V', -1.0_wp ) + ! + CALL iom_put( 'utau_oi' , ztaux_oi * aimsk00 ) + CALL iom_put( 'vtau_oi' , ztauy_oi * aimsk00 ) + CALL iom_put( 'utau_ai' , ztaux_ai * aimsk00 ) + CALL iom_put( 'vtau_ai' , ztauy_ai * aimsk00 ) + CALL iom_put( 'utau_bi' , ztaux_bi * aimsk00 ) + CALL iom_put( 'vtau_bi' , ztauy_bi * aimsk00 ) + ENDIF + + ! --- divergence, shear and strength --- ! + IF( iom_use('icediv') ) CALL iom_put( 'icediv' , pdivu_i * aimsk00 ) ! divergence + IF( iom_use('iceshe') ) CALL iom_put( 'iceshe' , pshear_i * aimsk00 ) ! shear + IF( iom_use('icedlt') ) CALL iom_put( 'icedlt' , pdelta_i * aimsk00 ) ! delta + IF( iom_use('icestr') ) CALL iom_put( 'icestr' , strength * aimsk00 ) ! strength + + ! --- Stress tensor invariants (SIMIP diags) --- ! + IF( iom_use('normstr') .OR. iom_use('sheastr') ) THEN + ! + ALLOCATE( zsig_I(jpi,jpj) , zsig_II(jpi,jpj) ) + ! + DO_2D( 1, 1, 1, 1 ) + + ! Ice stresses + ! sigma1, sigma2, sigma12 are some useful recombination of the stresses (Hunke and Dukowicz MWR 2002, Bouillon et al., OM2013) + ! These are NOT stress tensor components, neither stress invariants, neither stress principal components + ! I know, this can be confusing... + zfac = strength(ji,jj) / ( pdelta_i(ji,jj) + rn_creepl ) + zsig1 = zfac * ( pdivu_i(ji,jj) - pdelta_i(ji,jj) ) + zsig2 = zfac * z1_ecc2 * zten_i(ji,jj) + zsig12 = zfac * z1_ecc2 * pshear_i(ji,jj) + + ! Stress invariants (sigma_I, sigma_II, Coon 1974, Feltham 2008) + zsig_I (ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure + zsig_II(ji,jj) = SQRT ( MAX( 0._wp, zsig2 * zsig2 * 0.25_wp + zsig12 ) ) ! 2nd '' '', aka maximum shear stress + + END_2D + ! + ! Stress tensor invariants (normal and shear stress N/m) - SIMIP diags - definitions following Coon (1974) and Feltham (2008) + IF( iom_use('normstr') ) CALL iom_put( 'normstr', zsig_I (:,:) * aimsk00(:,:) ) ! Normal stress + IF( iom_use('sheastr') ) CALL iom_put( 'sheastr', zsig_II(:,:) * aimsk00(:,:) ) ! Maximum shear stress + + DEALLOCATE ( zsig_I, zsig_II ) + + ENDIF + + ! --- Normalized stress tensor principal components --- ! + ! This are used to plot the normalized yield curve, see Lemieux & Dupont, 2020 + ! Recommendation 1 : we use ice strength, not replacement pressure + ! Recommendation 2 : need to use deformations at PREVIOUS iterate for viscosities + IF( iom_use('sig1_pnorm') .OR. iom_use('sig2_pnorm') ) THEN + ! + ALLOCATE( zsig1_p(jpi,jpj) , zsig2_p(jpi,jpj) , zsig_I(jpi,jpj) , zsig_II(jpi,jpj) ) + ! + DO_2D( 1, 1, 1, 1 ) + + ! Ice stresses computed with **viscosities** (delta, p/delta) at **previous** iterates + ! and **deformations** at current iterates + ! following Lemieux & Dupont (2020) + zfac = zp_delt(ji,jj) + zsig1 = zfac * ( pdivu_i(ji,jj) - ( zdelta(ji,jj) + rn_creepl ) ) + zsig2 = zfac * z1_ecc2 * zten_i(ji,jj) + zsig12 = zfac * z1_ecc2 * pshear_i(ji,jj) + + ! Stress invariants (sigma_I, sigma_II, Coon 1974, Feltham 2008), T-point + zsig_I(ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure + zsig_II(ji,jj) = SQRT ( MAX( 0._wp, zsig2 * zsig2 * 0.25_wp + zsig12 ) ) ! 2nd '' '', aka maximum shear stress + + ! Normalized principal stresses (used to display the ellipse) + z1_strength = 1._wp / MAX( 1._wp, strength(ji,jj) ) + zsig1_p(ji,jj) = ( zsig_I(ji,jj) + zsig_II(ji,jj) ) * z1_strength + zsig2_p(ji,jj) = ( zsig_I(ji,jj) - zsig_II(ji,jj) ) * z1_strength + END_2D + ! + CALL iom_put( 'sig1_pnorm' , zsig1_p ) + CALL iom_put( 'sig2_pnorm' , zsig2_p ) + + DEALLOCATE( zsig1_p , zsig2_p , zsig_I, zsig_II ) + + ENDIF + + ! --- yieldcurve --- ! + IF( iom_use('yield11') .OR. iom_use('yield12') .OR. iom_use('yield22')) THEN + + CALL lbc_lnk( 'icedyn_rhg_eap', zyield11, 'T', 1.0_wp, zyield22, 'T', 1.0_wp, zyield12, 'T', 1.0_wp ) + + CALL iom_put( 'yield11', zyield11 * aimsk00 ) + CALL iom_put( 'yield22', zyield22 * aimsk00 ) + CALL iom_put( 'yield12', zyield12 * aimsk00 ) + ENDIF + + ! --- anisotropy tensor --- ! + IF( iom_use('aniso') ) THEN + CALL lbc_lnk( 'icedyn_rhg_eap', paniso_11, 'T', 1.0_wp ) + CALL iom_put( 'aniso' , paniso_11 * aimsk00 ) + ENDIF + + ! --- SIMIP --- ! + IF( iom_use('dssh_dx') .OR. iom_use('dssh_dy') .OR. & + & iom_use('corstrx') .OR. iom_use('corstry') .OR. iom_use('intstrx') .OR. iom_use('intstry') ) THEN + ! + CALL lbc_lnk( 'icedyn_rhg_eap', zspgU, 'U', -1.0_wp, zspgV, 'V', -1.0_wp, & + & zCorU, 'U', -1.0_wp, zCorV, 'V', -1.0_wp, & + & zfU, 'U', -1.0_wp, zfV, 'V', -1.0_wp ) + + CALL iom_put( 'dssh_dx' , zspgU * aimsk00 ) ! Sea-surface tilt term in force balance (x) + CALL iom_put( 'dssh_dy' , zspgV * aimsk00 ) ! Sea-surface tilt term in force balance (y) + CALL iom_put( 'corstrx' , zCorU * aimsk00 ) ! Coriolis force term in force balance (x) + CALL iom_put( 'corstry' , zCorV * aimsk00 ) ! Coriolis force term in force balance (y) + CALL iom_put( 'intstrx' , zfU * aimsk00 ) ! Internal force term in force balance (x) + CALL iom_put( 'intstry' , zfV * aimsk00 ) ! Internal force term in force balance (y) + ENDIF + + IF( iom_use('xmtrpice') .OR. iom_use('ymtrpice') .OR. & + & iom_use('xmtrpsnw') .OR. iom_use('ymtrpsnw') .OR. iom_use('xatrp') .OR. iom_use('yatrp') ) THEN + ! + ALLOCATE( zdiag_xmtrp_ice(jpi,jpj) , zdiag_ymtrp_ice(jpi,jpj) , & + & zdiag_xmtrp_snw(jpi,jpj) , zdiag_ymtrp_snw(jpi,jpj) , zdiag_xatrp(jpi,jpj) , zdiag_yatrp(jpi,jpj) ) + ! + DO_2D( 0, 0, 0, 0 ) + ! 2D ice mass, snow mass, area transport arrays (X, Y) + zfac_x = 0.5 * u_ice(ji,jj) * e2u(ji,jj) * aimsk00(ji,jj) + zfac_y = 0.5 * v_ice(ji,jj) * e1v(ji,jj) * aimsk00(ji,jj) + + zdiag_xmtrp_ice(ji,jj) = rhoi * zfac_x * ( vt_i(ji+1,jj) + vt_i(ji,jj) ) ! ice mass transport, X-component + zdiag_ymtrp_ice(ji,jj) = rhoi * zfac_y * ( vt_i(ji,jj+1) + vt_i(ji,jj) ) ! '' Y- '' + + zdiag_xmtrp_snw(ji,jj) = rhos * zfac_x * ( vt_s(ji+1,jj) + vt_s(ji,jj) ) ! snow mass transport, X-component + zdiag_ymtrp_snw(ji,jj) = rhos * zfac_y * ( vt_s(ji,jj+1) + vt_s(ji,jj) ) ! '' Y- '' + + zdiag_xatrp(ji,jj) = zfac_x * ( at_i(ji+1,jj) + at_i(ji,jj) ) ! area transport, X-component + zdiag_yatrp(ji,jj) = zfac_y * ( at_i(ji,jj+1) + at_i(ji,jj) ) ! '' Y- '' + + END_2D + + CALL lbc_lnk( 'icedyn_rhg_eap', zdiag_xmtrp_ice, 'U', -1.0_wp, zdiag_ymtrp_ice, 'V', -1.0_wp, & + & zdiag_xmtrp_snw, 'U', -1.0_wp, zdiag_ymtrp_snw, 'V', -1.0_wp, & + & zdiag_xatrp , 'U', -1.0_wp, zdiag_yatrp , 'V', -1.0_wp ) + + CALL iom_put( 'xmtrpice' , zdiag_xmtrp_ice ) ! X-component of sea-ice mass transport (kg/s) + CALL iom_put( 'ymtrpice' , zdiag_ymtrp_ice ) ! Y-component of sea-ice mass transport + CALL iom_put( 'xmtrpsnw' , zdiag_xmtrp_snw ) ! X-component of snow mass transport (kg/s) + CALL iom_put( 'ymtrpsnw' , zdiag_ymtrp_snw ) ! Y-component of snow mass transport + CALL iom_put( 'xatrp' , zdiag_xatrp ) ! X-component of ice area transport + CALL iom_put( 'yatrp' , zdiag_yatrp ) ! Y-component of ice area transport + + DEALLOCATE( zdiag_xmtrp_ice , zdiag_ymtrp_ice , & + & zdiag_xmtrp_snw , zdiag_ymtrp_snw , zdiag_xatrp , zdiag_yatrp ) + + ENDIF + ! + ! --- convergence tests --- ! + IF( nn_rhg_chkcvg == 1 .OR. nn_rhg_chkcvg == 2 ) THEN + IF( iom_use('uice_cvg') ) THEN + IF( ln_aEVP ) THEN ! output: beta * ( u(t=nn_nevp) - u(t=nn_nevp-1) ) + CALL iom_put( 'uice_cvg', MAX( ABS( u_ice(:,:) - zu_ice(:,:) ) * zbeta(:,:) * umask(:,:,1) , & + & ABS( v_ice(:,:) - zv_ice(:,:) ) * zbeta(:,:) * vmask(:,:,1) ) * aimsk15(:,:) ) + ELSE ! output: nn_nevp * ( u(t=nn_nevp) - u(t=nn_nevp-1) ) + CALL iom_put( 'uice_cvg', REAL( nn_nevp ) * MAX( ABS( u_ice(:,:) - zu_ice(:,:) ) * umask(:,:,1) , & + & ABS( v_ice(:,:) - zv_ice(:,:) ) * vmask(:,:,1) ) * aimsk15(:,:) ) + ENDIF + ENDIF + ENDIF + ! + END SUBROUTINE ice_dyn_rhg_eap + + + SUBROUTINE rhg_cvg_eap( kt, kiter, kitermax, pu, pv, pub, pvb ) + !!---------------------------------------------------------------------- + !! *** ROUTINE rhg_cvg_eap *** + !! + !! ** Purpose : check convergence of oce rheology + !! + !! ** Method : create a file ice_cvg.nc containing the convergence of ice velocity + !! during the sub timestepping of rheology so as: + !! uice_cvg = MAX( u(t+1) - u(t) , v(t+1) - v(t) ) + !! This routine is called every sub-iteration, so it is cpu expensive + !! + !! ** Note : for the first sub-iteration, uice_cvg is set to 0 (too large otherwise) + !!---------------------------------------------------------------------- + INTEGER , INTENT(in) :: kt, kiter, kitermax ! ocean time-step index + REAL(wp), DIMENSION(:,:), INTENT(in) :: pu, pv, pub, pvb ! now and before velocities + !! + INTEGER :: it, idtime, istatus + INTEGER :: ji, jj ! dummy loop indices + REAL(wp) :: zresm ! local real + CHARACTER(len=20) :: clname + !!---------------------------------------------------------------------- + + ! create file + IF( kt == nit000 .AND. kiter == 1 ) THEN + ! + IF( lwp ) THEN + WRITE(numout,*) + WRITE(numout,*) 'rhg_cvg_eap : ice rheology convergence control' + WRITE(numout,*) '~~~~~~~' + ENDIF + ! + IF( lwm ) THEN + clname = 'ice_cvg.nc' + IF( .NOT. Agrif_Root() ) clname = TRIM(Agrif_CFixed())//"_"//TRIM(clname) + istatus = NF90_CREATE( TRIM(clname), NF90_CLOBBER, ncvgid ) + istatus = NF90_DEF_DIM( ncvgid, 'time' , NF90_UNLIMITED, idtime ) + istatus = NF90_DEF_VAR( ncvgid, 'uice_cvg', NF90_DOUBLE , (/ idtime /), nvarid ) + istatus = NF90_ENDDEF(ncvgid) + ENDIF + ! + ENDIF + + ! time + it = ( kt - 1 ) * kitermax + kiter + + ! convergence + IF( kiter == 1 ) THEN ! remove the first iteration for calculations of convergence (always very large) + zresm = 0._wp + ELSE + DO_2D( 1, 1, 1, 1 ) + eap_res(ji,jj) = MAX( ABS( pu(ji,jj) - pub(ji,jj) ) * umask(ji,jj,1), & + & ABS( pv(ji,jj) - pvb(ji,jj) ) * vmask(ji,jj,1) ) * aimsk15(ji,jj) + ! cut of the boundary of the box (forced velocities) + IF (mjg(jj)<=30 .or. mjg(jj)>970 .or. mig(ji)<=30 .or. mig(ji)>970) THEN + eap_res(ji,jj) = 0._wp + END IF + END_2D + + zresm = MAXVAL( eap_res ) + CALL mpp_max( 'icedyn_rhg_evp', zresm ) ! max over the global domain + ENDIF + + IF( lwm ) THEN + ! write variables + istatus = NF90_PUT_VAR( ncvgid, nvarid, (/zresm/), (/it/), (/1/) ) + ! close file + IF( kt == nitend ) istatus = NF90_CLOSE(ncvgid) + ENDIF + + END SUBROUTINE rhg_cvg_eap + + + SUBROUTINE update_stress_rdg( ksub, kndte, pdivu, ptension, pshear, pa11, pa12, & + & pstressp, pstressm, pstress12, pstrength, palphar, palphas ) + !!--------------------------------------------------------------------- + !! *** SUBROUTINE update_stress_rdg *** + !! + !! ** Purpose : Updates the stress depending on values of strain rate and structure + !! tensor and for the last subcycle step it computes closing and sliding rate + !!--------------------------------------------------------------------- + INTEGER, INTENT(in ) :: ksub, kndte + REAL(wp), INTENT(in ) :: pstrength + REAL(wp), INTENT(in ) :: pdivu, ptension, pshear + REAL(wp), INTENT(in ) :: pa11, pa12 + REAL(wp), INTENT( out) :: pstressp, pstressm, pstress12 + REAL(wp), INTENT( out) :: palphar, palphas + + INTEGER :: kx ,ky, ka + + REAL(wp) :: zstemp11r, zstemp12r, zstemp22r + REAL(wp) :: zstemp11s, zstemp12s, zstemp22s + REAL(wp) :: za22, zQd11Qd11, zQd11Qd12, zQd12Qd12 + REAL(wp) :: zQ11Q11, zQ11Q12, zQ12Q12 + REAL(wp) :: zdtemp11, zdtemp12, zdtemp22 + REAL(wp) :: zrotstemp11r, zrotstemp12r, zrotstemp22r + REAL(wp) :: zrotstemp11s, zrotstemp12s, zrotstemp22s + REAL(wp) :: zsig11, zsig12, zsig22 + REAL(wp) :: zsgprm11, zsgprm12, zsgprm22 + REAL(wp) :: zAngle_denom_gamma, zAngle_denom_alpha + REAL(wp) :: zTany_1, zTany_2 + REAL(wp) :: zx, zy, zkxw, kyw, kaw + REAL(wp) :: zinvdx, zinvdy, zinvda + REAL(wp) :: zdtemp1, zdtemp2, zatempprime + + REAL(wp), PARAMETER :: ppkfriction = 0.45_wp + ! Factor to maintain the same stress as in EVP (see Section 3) + ! Can be set to 1 otherwise +! REAL(wp), PARAMETER :: ppinvstressconviso = 1._wp/(1._wp+ppkfriction*ppkfriction) + REAL(wp), PARAMETER :: ppinvstressconviso = 1._wp + + ! next statement uses pphi set in main module (icedyn_rhg_eap) + REAL(wp), PARAMETER :: ppinvsin = 1._wp/sin(2._wp*pphi) * ppinvstressconviso + + ! compute eigenvalues, eigenvectors and angles for structure tensor, strain + ! rates + + ! 1) structure tensor + za22 = 1._wp-pa11 + zQ11Q11 = 1._wp + zQ12Q12 = rsmall + zQ11Q12 = rsmall + + ! gamma: angle between general coordiantes and principal axis of A + ! here Tan2gamma = 2 a12 / (a11 - a22) + IF((ABS(pa11 - za22) > rsmall).OR.(ABS(pa12) > rsmall)) THEN + zAngle_denom_gamma = 1._wp/sqrt( ( pa11 - za22 )*( pa11 - za22) + & + 4._wp*pa12*pa12 ) + + zQ11Q11 = 0.5_wp + ( pa11 - za22 )*0.5_wp*zAngle_denom_gamma !Cos^2 + zQ12Q12 = 0.5_wp - ( pa11 - za22 )*0.5_wp*zAngle_denom_gamma !Sin^2 + zQ11Q12 = pa12*zAngle_denom_gamma !CosSin + ENDIF + + ! rotation Q*atemp*Q^T + zatempprime = zQ11Q11*pa11 + 2.0_wp*zQ11Q12*pa12 + zQ12Q12*za22 + + ! make first principal value the largest + zatempprime = max(zatempprime, 1.0_wp - zatempprime) + + ! 2) strain rate + zdtemp11 = 0.5_wp*(pdivu + ptension) + zdtemp12 = pshear*0.5_wp + zdtemp22 = 0.5_wp*(pdivu - ptension) + + ! here Tan2alpha = 2 dtemp12 / (dtemp11 - dtemp22) + + zQd11Qd11 = 1.0_wp + zQd12Qd12 = rsmall + zQd11Qd12 = rsmall + + IF((ABS( zdtemp11 - zdtemp22) > rsmall).OR. (ABS(zdtemp12) > rsmall)) THEN + + zAngle_denom_alpha = 1.0_wp/sqrt( ( zdtemp11 - zdtemp22 )* & + ( zdtemp11 - zdtemp22 ) + 4.0_wp*zdtemp12*zdtemp12) + + zQd11Qd11 = 0.5_wp + ( zdtemp11 - zdtemp22 )*0.5_wp*zAngle_denom_alpha !Cos^2 + zQd12Qd12 = 0.5_wp - ( zdtemp11 - zdtemp22 )*0.5_wp*zAngle_denom_alpha !Sin^2 + zQd11Qd12 = zdtemp12*zAngle_denom_alpha !CosSin + ENDIF + + zdtemp1 = zQd11Qd11*zdtemp11 + 2.0_wp*zQd11Qd12*zdtemp12 + zQd12Qd12*zdtemp22 + zdtemp2 = zQd12Qd12*zdtemp11 - 2.0_wp*zQd11Qd12*zdtemp12 + zQd11Qd11*zdtemp22 + ! In cos and sin values + zx = 0._wp + IF ((ABS(zdtemp1) > rsmall).OR.(ABS(zdtemp2) > rsmall)) THEN + zx = atan2(zdtemp2,zdtemp1) + ENDIF + + ! to ensure the angle lies between pi/4 and 9 pi/4 + IF (zx < rpi*0.25_wp) zx = zx + rpi*2.0_wp + + ! y: angle between major principal axis of strain rate and structure + ! tensor + ! y = gamma - alpha + ! Expressesed componently with + ! Tany = (Singamma*Cosgamma - Sinalpha*Cosgamma)/(Cos^2gamma - Sin^alpha) + + zTany_1 = zQ11Q12 - zQd11Qd12 + zTany_2 = zQ11Q11 - zQd12Qd12 + + zy = 0._wp + + IF ((ABS(zTany_1) > rsmall).OR.(ABS(zTany_2) > rsmall)) THEN + zy = atan2(zTany_1,zTany_2) + ENDIF + + ! to make sure y is between 0 and pi + IF (zy > rpi) zy = zy - rpi + IF (zy < 0) zy = zy + rpi + + ! 3) update anisotropic stress tensor + zinvdx = real(nx_yield-1,kind=wp)/rpi + zinvdy = real(ny_yield-1,kind=wp)/rpi + zinvda = 2._wp*real(na_yield-1,kind=wp) + + ! % need 8 coords and 8 weights + ! % range in kx + kx = int((zx-rpi*0.25_wp-rpi)*zinvdx) + 1 + !!clem kx = MAX( 1, MIN( nx_yield-1, INT((zx-rpi*0.25_wp-rpi)*zinvdx) + 1 ) ) + zkxw = kx - (zx-rpi*0.25_wp-rpi)*zinvdx + + ky = int(zy*zinvdy) + 1 + !!clem ky = MAX( 1, MIN( ny_yield-1, INT(zy*zinvdy) + 1 ) ) + kyw = ky - zy*zinvdy + + ka = int((zatempprime-0.5_wp)*zinvda) + 1 + !!clem ka = MAX( 1, MIN( na_yield-1, INT((zatempprime-0.5_wp)*zinvda) + 1 ) ) + kaw = ka - (zatempprime-0.5_wp)*zinvda + + ! % Determine sigma_r(A1,Zeta,y) and sigma_s (see Section A1 of Tsamados 2013) +!!$ zstemp11r = zkxw * kyw * kaw * s11r(kx ,ky ,ka ) & +!!$ & + (1._wp-zkxw) * kyw * kaw * s11r(kx+1,ky ,ka ) & +!!$ & + zkxw * (1._wp-kyw) * kaw * s11r(kx ,ky+1,ka ) & +!!$ & + zkxw * kyw * (1._wp-kaw) * s11r(kx ,ky ,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * kaw * s11r(kx+1,ky+1,ka ) & +!!$ & + (1._wp-zkxw) * kyw * (1._wp-kaw) * s11r(kx+1,ky ,ka+1) & +!!$ & + zkxw * (1._wp-kyw) * (1._wp-kaw) * s11r(kx ,ky+1,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * (1._wp-kaw) * s11r(kx+1,ky+1,ka+1) +!!$ zstemp12r = zkxw * kyw * kaw * s12r(kx ,ky ,ka ) & +!!$ & + (1._wp-zkxw) * kyw * kaw * s12r(kx+1,ky ,ka ) & +!!$ & + zkxw * (1._wp-kyw) * kaw * s12r(kx ,ky+1,ka ) & +!!$ & + zkxw * kyw * (1._wp-kaw) * s12r(kx ,ky ,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * kaw * s12r(kx+1,ky+1,ka ) & +!!$ & + (1._wp-zkxw) * kyw * (1._wp-kaw) * s12r(kx+1,ky ,ka+1) & +!!$ & + zkxw * (1._wp-kyw) * (1._wp-kaw) * s12r(kx ,ky+1,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * (1._wp-kaw) * s12r(kx+1,ky+1,ka+1) +!!$ zstemp22r = zkxw * kyw * kaw * s22r(kx ,ky ,ka ) & +!!$ & + (1._wp-zkxw) * kyw * kaw * s22r(kx+1,ky ,ka ) & +!!$ & + zkxw * (1._wp-kyw) * kaw * s22r(kx ,ky+1,ka ) & +!!$ & + zkxw * kyw * (1._wp-kaw) * s22r(kx ,ky ,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * kaw * s22r(kx+1,ky+1,ka ) & +!!$ & + (1._wp-zkxw) * kyw * (1._wp-kaw) * s22r(kx+1,ky ,ka+1) & +!!$ & + zkxw * (1._wp-kyw) * (1._wp-kaw) * s22r(kx ,ky+1,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * (1._wp-kaw) * s22r(kx+1,ky+1,ka+1) +!!$ +!!$ zstemp11s = zkxw * kyw * kaw * s11s(kx ,ky ,ka ) & +!!$ & + (1._wp-zkxw) * kyw * kaw * s11s(kx+1,ky ,ka ) & +!!$ & + zkxw * (1._wp-kyw) * kaw * s11s(kx ,ky+1,ka ) & +!!$ & + zkxw * kyw * (1._wp-kaw) * s11s(kx ,ky ,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * kaw * s11s(kx+1,ky+1,ka ) & +!!$ & + (1._wp-zkxw) * kyw * (1._wp-kaw) * s11s(kx+1,ky ,ka+1) & +!!$ & + zkxw * (1._wp-kyw) * (1._wp-kaw) * s11s(kx ,ky+1,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * (1._wp-kaw) * s11s(kx+1,ky+1,ka+1) +!!$ zstemp12s = zkxw * kyw * kaw * s12s(kx ,ky ,ka ) & +!!$ & + (1._wp-zkxw) * kyw * kaw * s12s(kx+1,ky ,ka ) & +!!$ & + zkxw * (1._wp-kyw) * kaw * s12s(kx ,ky+1,ka ) & +!!$ & + zkxw * kyw * (1._wp-kaw) * s12s(kx ,ky ,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * kaw * s12s(kx+1,ky+1,ka ) & +!!$ & + (1._wp-zkxw) * kyw * (1._wp-kaw) * s12s(kx+1,ky ,ka+1) & +!!$ & + zkxw * (1._wp-kyw) * (1._wp-kaw) * s12s(kx ,ky+1,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * (1._wp-kaw) * s12s(kx+1,ky+1,ka+1) +!!$ zstemp22s = zkxw * kyw * kaw * s22s(kx ,ky ,ka ) & +!!$ & + (1._wp-zkxw) * kyw * kaw * s22s(kx+1,ky ,ka ) & +!!$ & + zkxw * (1._wp-kyw) * kaw * s22s(kx ,ky+1,ka ) & +!!$ & + zkxw * kyw * (1._wp-kaw) * s22s(kx ,ky ,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * kaw * s22s(kx+1,ky+1,ka ) & +!!$ & + (1._wp-zkxw) * kyw * (1._wp-kaw) * s22s(kx+1,ky ,ka+1) & +!!$ & + zkxw * (1._wp-kyw) * (1._wp-kaw) * s22s(kx ,ky+1,ka+1) & +!!$ & + (1._wp-zkxw) * (1._wp-kyw) * (1._wp-kaw) * s22s(kx+1,ky+1,ka+1) + + zstemp11r = s11r(kx,ky,ka) + zstemp12r = s12r(kx,ky,ka) + zstemp22r = s22r(kx,ky,ka) + zstemp11s = s11s(kx,ky,ka) + zstemp12s = s12s(kx,ky,ka) + zstemp22s = s22s(kx,ky,ka) + + + ! Calculate mean ice stress over a collection of floes (Equation 3 in + ! Tsamados 2013) + + zsig11 = pstrength*(zstemp11r + ppkfriction*zstemp11s) * ppinvsin + zsig12 = pstrength*(zstemp12r + ppkfriction*zstemp12s) * ppinvsin + zsig22 = pstrength*(zstemp22r + ppkfriction*zstemp22s) * ppinvsin + + ! Back - rotation of the stress from principal axes into general coordinates + + ! Update stress + zsgprm11 = zQ11Q11*zsig11 + zQ12Q12*zsig22 - 2._wp*zQ11Q12 *zsig12 + zsgprm12 = zQ11Q12*zsig11 - zQ11Q12*zsig22 + (zQ11Q11 - zQ12Q12)*zsig12 + zsgprm22 = zQ12Q12*zsig11 + zQ11Q11*zsig22 + 2._wp*zQ11Q12 *zsig12 + + pstressp = zsgprm11 + zsgprm22 + pstress12 = zsgprm12 + pstressm = zsgprm11 - zsgprm22 + + ! Compute ridging and sliding functions in general coordinates + ! (Equation 11 in Tsamados 2013) + IF (ksub == kndte) THEN + zrotstemp11r = zQ11Q11*zstemp11r - 2._wp*zQ11Q12* zstemp12r & + + zQ12Q12*zstemp22r + zrotstemp12r = zQ11Q11*zstemp12r + zQ11Q12*(zstemp11r-zstemp22r) & + - zQ12Q12*zstemp12r + zrotstemp22r = zQ12Q12*zstemp11r + 2._wp*zQ11Q12* zstemp12r & + + zQ11Q11*zstemp22r + + zrotstemp11s = zQ11Q11*zstemp11s - 2._wp*zQ11Q12* zstemp12s & + + zQ12Q12*zstemp22s + zrotstemp12s = zQ11Q11*zstemp12s + zQ11Q12*(zstemp11s-zstemp22s) & + - zQ12Q12*zstemp12s + zrotstemp22s = zQ12Q12*zstemp11s + 2._wp*zQ11Q12* zstemp12s & + + zQ11Q11*zstemp22s + + palphar = zrotstemp11r*zdtemp11 + 2._wp*zrotstemp12r*zdtemp12 & + + zrotstemp22r*zdtemp22 + palphas = zrotstemp11s*zdtemp11 + 2._wp*zrotstemp12s*zdtemp12 & + + zrotstemp22s*zdtemp22 + ENDIF + END SUBROUTINE update_stress_rdg + +!======================================================================= + + + SUBROUTINE calc_ffrac( pstressp, pstressm, pstress12, pa11, pa12, & + & pmresult11, pmresult12 ) + !!--------------------------------------------------------------------- + !! *** ROUTINE calc_ffrac *** + !! + !! ** Purpose : Computes term in evolution equation for structure tensor + !! which determines the ice floe re-orientation due to fracture + !! ** Method : Eq. 7: Ffrac = -kf(A-S) or = 0 depending on sigma_1 and sigma_2 + !!--------------------------------------------------------------------- + REAL (wp), INTENT(in) :: pstressp, pstressm, pstress12, pa11, pa12 + REAL (wp), INTENT(out) :: pmresult11, pmresult12 + + ! local variables + + REAL (wp) :: zsigma11, zsigma12, zsigma22 ! stress tensor elements + REAL (wp) :: zAngle_denom ! angle with principal component axis + REAL (wp) :: zsigma_1, zsigma_2 ! principal components of stress + REAL (wp) :: zQ11, zQ12, zQ11Q11, zQ11Q12, zQ12Q12 + +!!$ REAL (wp), PARAMETER :: ppkfrac = 0.0001_wp ! rate of fracture formation + REAL (wp), PARAMETER :: ppkfrac = 1.e-3_wp ! rate of fracture formation + REAL (wp), PARAMETER :: ppthreshold = 0.3_wp ! critical confinement ratio + !!--------------------------------------------------------------- + ! + zsigma11 = 0.5_wp*(pstressp+pstressm) + zsigma12 = pstress12 + zsigma22 = 0.5_wp*(pstressp-pstressm) + + ! Here's the change - no longer calculate gamma, + ! use trig formulation, angle signs are kept correct, don't worry + + ! rotate tensor to get into sigma principal axis + + ! here Tan2gamma = 2 sig12 / (sig11 - sig12) + ! add rsmall to the denominator to stop 1/0 errors, makes very little + ! error to the calculated angles < rsmall + + zQ11Q11 = 0.1_wp + zQ12Q12 = rsmall + zQ11Q12 = rsmall + + IF((ABS( zsigma11 - zsigma22) > rsmall).OR.(ABS(zsigma12) > rsmall)) THEN + + zAngle_denom = 1.0_wp/sqrt( ( zsigma11 - zsigma22 )*( zsigma11 - & + zsigma22 ) + 4.0_wp*zsigma12*zsigma12) + + zQ11Q11 = 0.5_wp + ( zsigma11 - zsigma22 )*0.5_wp*zAngle_denom !Cos^2 + zQ12Q12 = 0.5_wp - ( zsigma11 - zsigma22 )*0.5_wp*zAngle_denom !Sin^2 + zQ11Q12 = zsigma12*zAngle_denom !CosSin + ENDIF + + zsigma_1 = zQ11Q11*zsigma11 + 2.0_wp*zQ11Q12*zsigma12 + zQ12Q12*zsigma22 ! S(1,1) + zsigma_2 = zQ12Q12*zsigma11 - 2.0_wp*zQ11Q12*zsigma12 + zQ11Q11*zsigma22 ! S(2,2) + + ! Pure divergence + IF ((zsigma_1 >= 0.0_wp).AND.(zsigma_2 >= 0.0_wp)) THEN + pmresult11 = 0.0_wp + pmresult12 = 0.0_wp + + ! Unconfined compression: cracking of blocks not along the axial splitting + ! direction + ! which leads to the loss of their shape, so we again model it through diffusion + ELSEIF ((zsigma_1 >= 0.0_wp).AND.(zsigma_2 < 0.0_wp)) THEN + pmresult11 = - ppkfrac * (pa11 - zQ12Q12) + pmresult12 = - ppkfrac * (pa12 + zQ11Q12) + + ! Shear faulting + ELSEIF (zsigma_2 == 0.0_wp) THEN + pmresult11 = 0.0_wp + pmresult12 = 0.0_wp + ELSEIF ((zsigma_1 <= 0.0_wp).AND.(zsigma_1/zsigma_2 <= ppthreshold)) THEN + pmresult11 = - ppkfrac * (pa11 - zQ12Q12) + pmresult12 = - ppkfrac * (pa12 + zQ11Q12) + + ! Horizontal spalling + ELSE + pmresult11 = 0.0_wp + pmresult12 = 0.0_wp + ENDIF + + END SUBROUTINE calc_ffrac + + + SUBROUTINE rhg_eap_rst( cdrw, kt ) + !!--------------------------------------------------------------------- + !! *** ROUTINE rhg_eap_rst *** + !! + !! ** Purpose : Read or write RHG file in restart file + !! + !! ** Method : use of IOM library + !!---------------------------------------------------------------------- + CHARACTER(len=*) , INTENT(in) :: cdrw ! "READ"/"WRITE" flag + INTEGER, OPTIONAL, INTENT(in) :: kt ! ice time-step + ! + INTEGER :: iter ! local integer + INTEGER :: id1, id2, id3, id4, id5 ! local integers + INTEGER :: ix, iy, ip, iz, n, ia ! local integers + + INTEGER, PARAMETER :: nz = 100 + + REAL(wp) :: ainit, xinit, yinit, pinit, zinit + REAL(wp) :: da, dx, dy, dp, dz, a1 + + !!clem + REAL(wp) :: zw1, zw2, zfac, ztemp + REAL(wp) :: zidx, zidy, zidz + REAL(wp) :: zsaak(6) ! temporary array + + REAL(wp), PARAMETER :: eps6 = 1.0e-6_wp + !!---------------------------------------------------------------------- + ! + IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialize + ! ! --------------- + IF( ln_rstart ) THEN !* Read the restart file + ! + id1 = iom_varid( numrir, 'stress1_i' , ldstop = .FALSE. ) + id2 = iom_varid( numrir, 'stress2_i' , ldstop = .FALSE. ) + id3 = iom_varid( numrir, 'stress12_i', ldstop = .FALSE. ) + id4 = iom_varid( numrir, 'aniso_11' , ldstop = .FALSE. ) + id5 = iom_varid( numrir, 'aniso_12' , ldstop = .FALSE. ) + ! + IF( MIN( id1, id2, id3, id4, id5 ) > 0 ) THEN ! fields exist + CALL iom_get( numrir, jpdom_auto, 'stress1_i' , stress1_i , cd_type = 'T' ) + CALL iom_get( numrir, jpdom_auto, 'stress2_i' , stress2_i , cd_type = 'T' ) + CALL iom_get( numrir, jpdom_auto, 'stress12_i', stress12_i, cd_type = 'F' ) + CALL iom_get( numrir, jpdom_auto, 'aniso_11' , aniso_11 , cd_type = 'T' ) + CALL iom_get( numrir, jpdom_auto, 'aniso_12' , aniso_12 , cd_type = 'T' ) + ELSE ! start rheology from rest + IF(lwp) WRITE(numout,*) + IF(lwp) WRITE(numout,*) ' ==>>> previous run without rheology, set stresses to 0' + stress1_i (:,:) = 0._wp + stress2_i (:,:) = 0._wp + stress12_i(:,:) = 0._wp + aniso_11 (:,:) = 0.5_wp + aniso_12 (:,:) = 0._wp + ENDIF + ELSE !* Start from rest + IF(lwp) WRITE(numout,*) + IF(lwp) WRITE(numout,*) ' ==>>> start from rest: set stresses to 0' + stress1_i (:,:) = 0._wp + stress2_i (:,:) = 0._wp + stress12_i(:,:) = 0._wp + aniso_11 (:,:) = 0.5_wp + aniso_12 (:,:) = 0._wp + ENDIF + ! + + da = 0.5_wp/real(na_yield-1,kind=wp) + ainit = 0.5_wp - da + dx = rpi/real(nx_yield-1,kind=wp) + xinit = rpi + 0.25_wp*rpi - dx + dz = rpi/real(nz,kind=wp) + zinit = -rpi*0.5_wp + dy = rpi/real(ny_yield-1,kind=wp) + yinit = -dy + + s11r(:,:,:) = 0._wp + s12r(:,:,:) = 0._wp + s22r(:,:,:) = 0._wp + s11s(:,:,:) = 0._wp + s12s(:,:,:) = 0._wp + s22s(:,:,:) = 0._wp + +!!$ DO ia=1,na_yield +!!$ DO ix=1,nx_yield +!!$ DO iy=1,ny_yield +!!$ s11r(ix,iy,ia) = 0._wp +!!$ s12r(ix,iy,ia) = 0._wp +!!$ s22r(ix,iy,ia) = 0._wp +!!$ s11s(ix,iy,ia) = 0._wp +!!$ s12s(ix,iy,ia) = 0._wp +!!$ s22s(ix,iy,ia) = 0._wp +!!$ IF (ia <= na_yield-1) THEN +!!$ DO iz=1,nz +!!$ s11r(ix,iy,ia) = s11r(ix,iy,ia) + 1*w1(ainit+ia*da)* & +!!$ exp(-w2(ainit+ia*da)*(zinit+iz*dz)*(zinit+iz*dz))* & +!!$ s11kr(xinit+ix*dx,yinit+iy*dy,zinit+iz*dz)*dz/sin(2._wp*pphi) +!!$ s12r(ix,iy,ia) = s12r(ix,iy,ia) + 1*w1(ainit+ia*da)* & +!!$ exp(-w2(ainit+ia*da)*(zinit+iz*dz)*(zinit+iz*dz))* & +!!$ s12kr(xinit+ix*dx,yinit+iy*dy,zinit+iz*dz)*dz/sin(2._wp*pphi) +!!$ s22r(ix,iy,ia) = s22r(ix,iy,ia) + 1*w1(ainit+ia*da)* & +!!$ exp(-w2(ainit+ia*da)*(zinit+iz*dz)*(zinit+iz*dz))* & +!!$ s22kr(xinit+ix*dx,yinit+iy*dy,zinit+iz*dz)*dz/sin(2._wp*pphi) +!!$ s11s(ix,iy,ia) = s11s(ix,iy,ia) + 1*w1(ainit+ia*da)* & +!!$ exp(-w2(ainit+ia*da)*(zinit+iz*dz)*(zinit+iz*dz))* & +!!$ s11ks(xinit+ix*dx,yinit+iy*dy,zinit+iz*dz)*dz/sin(2._wp*pphi) +!!$ s12s(ix,iy,ia) = s12s(ix,iy,ia) + 1*w1(ainit+ia*da)* & +!!$ exp(-w2(ainit+ia*da)*(zinit+iz*dz)*(zinit+iz*dz))* & +!!$ s12ks(xinit+ix*dx,yinit+iy*dy,zinit+iz*dz)*dz/sin(2._wp*pphi) +!!$ s22s(ix,iy,ia) = s22s(ix,iy,ia) + 1*w1(ainit+ia*da)* & +!!$ exp(-w2(ainit+ia*da)*(zinit+iz*dz)*(zinit+iz*dz))* & +!!$ s22ks(xinit+ix*dx,yinit+iy*dy,zinit+iz*dz)*dz/sin(2._wp*pphi) +!!$ ENDDO +!!$ IF (abs(s11r(ix,iy,ia)) < eps6) s11r(ix,iy,ia) = 0._wp +!!$ IF (abs(s12r(ix,iy,ia)) < eps6) s12r(ix,iy,ia) = 0._wp +!!$ IF (abs(s22r(ix,iy,ia)) < eps6) s22r(ix,iy,ia) = 0._wp +!!$ IF (abs(s11s(ix,iy,ia)) < eps6) s11s(ix,iy,ia) = 0._wp +!!$ IF (abs(s12s(ix,iy,ia)) < eps6) s12s(ix,iy,ia) = 0._wp +!!$ IF (abs(s22s(ix,iy,ia)) < eps6) s22s(ix,iy,ia) = 0._wp +!!$ ELSE +!!$ s11r(ix,iy,ia) = 0.5_wp*s11kr(xinit+ix*dx,yinit+iy*dy,0._wp)/sin(2._wp*pphi) +!!$ s12r(ix,iy,ia) = 0.5_wp*s12kr(xinit+ix*dx,yinit+iy*dy,0._wp)/sin(2._wp*pphi) +!!$ s22r(ix,iy,ia) = 0.5_wp*s22kr(xinit+ix*dx,yinit+iy*dy,0._wp)/sin(2._wp*pphi) +!!$ s11s(ix,iy,ia) = 0.5_wp*s11ks(xinit+ix*dx,yinit+iy*dy,0._wp)/sin(2._wp*pphi) +!!$ s12s(ix,iy,ia) = 0.5_wp*s12ks(xinit+ix*dx,yinit+iy*dy,0._wp)/sin(2._wp*pphi) +!!$ s22s(ix,iy,ia) = 0.5_wp*s22ks(xinit+ix*dx,yinit+iy*dy,0._wp)/sin(2._wp*pphi) +!!$ IF (abs(s11r(ix,iy,ia)) < eps6) s11r(ix,iy,ia) = 0._wp +!!$ IF (abs(s12r(ix,iy,ia)) < eps6) s12r(ix,iy,ia) = 0._wp +!!$ IF (abs(s22r(ix,iy,ia)) < eps6) s22r(ix,iy,ia) = 0._wp +!!$ IF (abs(s11s(ix,iy,ia)) < eps6) s11s(ix,iy,ia) = 0._wp +!!$ IF (abs(s12s(ix,iy,ia)) < eps6) s12s(ix,iy,ia) = 0._wp +!!$ IF (abs(s22s(ix,iy,ia)) < eps6) s22s(ix,iy,ia) = 0._wp +!!$ ENDIF +!!$ ENDDO +!!$ ENDDO +!!$ ENDDO + + !! faster but still very slow => to be improved + zfac = dz/sin(2._wp*pphi) + DO ia = 1, na_yield-1 + zw1 = w1(ainit+ia*da) + zw2 = w2(ainit+ia*da) + DO iz = 1, nz + zidz = zinit+iz*dz + ztemp = zw1 * EXP(-zw2*(zinit+iz*dz)*(zinit+iz*dz)) + DO iy = 1, ny_yield + zidy = yinit+iy*dy + DO ix = 1, nx_yield + zidx = xinit+ix*dx + call all_skr_sks(zidx,zidy,zidz,zsaak) + zsaak = ztemp*zsaak*zfac + s11r(ix,iy,ia) = s11r(ix,iy,ia) + zsaak(1) + s12r(ix,iy,ia) = s12r(ix,iy,ia) + zsaak(2) + s22r(ix,iy,ia) = s22r(ix,iy,ia) + zsaak(3) + s11s(ix,iy,ia) = s11s(ix,iy,ia) + zsaak(4) + s12s(ix,iy,ia) = s12s(ix,iy,ia) + zsaak(5) + s22s(ix,iy,ia) = s22s(ix,iy,ia) + zsaak(6) + END DO + END DO + END DO + END DO + zfac = 1._wp/sin(2._wp*pphi) + ia = na_yield + DO iy = 1, ny_yield + zidy = yinit+iy*dy + DO ix = 1, nx_yield + zidx = xinit+ix*dx + call all_skr_sks(zidx,zidy,0._wp,zsaak) + zsaak = 0.5_wp*zsaak*zfac + s11r(ix,iy,ia) = zsaak(1) + s12r(ix,iy,ia) = zsaak(2) + s22r(ix,iy,ia) = zsaak(3) + s11s(ix,iy,ia) = zsaak(4) + s12s(ix,iy,ia) = zsaak(5) + s22s(ix,iy,ia) = zsaak(6) + ENDDO + ENDDO + WHERE (ABS(s11r(:,:,:)) < eps6) s11r(:,:,:) = 0._wp + WHERE (ABS(s12r(:,:,:)) < eps6) s12r(:,:,:) = 0._wp + WHERE (ABS(s22r(:,:,:)) < eps6) s22r(:,:,:) = 0._wp + WHERE (ABS(s11s(:,:,:)) < eps6) s11s(:,:,:) = 0._wp + WHERE (ABS(s12s(:,:,:)) < eps6) s12s(:,:,:) = 0._wp + WHERE (ABS(s22s(:,:,:)) < eps6) s22s(:,:,:) = 0._wp + + + ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file + ! ! ------------------- + IF(lwp) WRITE(numout,*) '---- rhg-rst ----' + iter = kt + nn_fsbc - 1 ! ice restarts are written at kt == nitrst - nn_fsbc + 1 + ! + CALL iom_rstput( iter, nitrst, numriw, 'stress1_i' , stress1_i ) + CALL iom_rstput( iter, nitrst, numriw, 'stress2_i' , stress2_i ) + CALL iom_rstput( iter, nitrst, numriw, 'stress12_i', stress12_i ) + CALL iom_rstput( iter, nitrst, numriw, 'aniso_11' , aniso_11 ) + CALL iom_rstput( iter, nitrst, numriw, 'aniso_12' , aniso_12 ) + ! + ENDIF + ! + END SUBROUTINE rhg_eap_rst + + + FUNCTION w1(pa) + !!------------------------------------------------------------------- + !! Function : w1 (see Gaussian function psi in Tsamados et al 2013) + !!------------------------------------------------------------------- + REAL(wp), INTENT(in ) :: pa + REAL(wp) :: w1 + !!------------------------------------------------------------------- + + w1 = - 223.87569446_wp & + & + 2361.21986630_wp*pa & + & - 10606.56079975_wp*pa*pa & + & + 26315.50025642_wp*pa*pa*pa & + & - 38948.30444297_wp*pa*pa*pa*pa & + & + 34397.72407466_wp*pa*pa*pa*pa*pa & + & - 16789.98003081_wp*pa*pa*pa*pa*pa*pa & + & + 3495.82839237_wp*pa*pa*pa*pa*pa*pa*pa + + END FUNCTION w1 + + + FUNCTION w2(pa) + !!------------------------------------------------------------------- + !! Function : w2 (see Gaussian function psi in Tsamados et al 2013) + !!------------------------------------------------------------------- + REAL(wp), INTENT(in ) :: pa + REAL(wp) :: w2 + !!------------------------------------------------------------------- + + w2 = - 6670.68911883_wp & + & + 70222.33061536_wp*pa & + & - 314871.71525448_wp*pa*pa & + & + 779570.02793492_wp*pa*pa*pa & + & - 1151098.82436864_wp*pa*pa*pa*pa & + & + 1013896.59464498_wp*pa*pa*pa*pa*pa & + & - 493379.44906738_wp*pa*pa*pa*pa*pa*pa & + & + 102356.55151800_wp*pa*pa*pa*pa*pa*pa*pa + + END FUNCTION w2 + + SUBROUTINE all_skr_sks( px, py, pz, allsk ) + REAL(wp), INTENT(in ) :: px,py,pz + REAL(wp), INTENT(out ) :: allsk(6) + + REAL(wp) :: zs12r0, zs21r0 + REAL(wp) :: zs12s0, zs21s0 + + REAL(wp) :: zpih + REAL(wp) :: zn1t2i11, zn1t2i12, zn1t2i21, zn1t2i22 + REAL(wp) :: zn2t1i11, zn2t1i12, zn2t1i21, zn2t1i22 + REAL(wp) :: zt1t2i11, zt1t2i12, zt1t2i21, zt1t2i22 + REAL(wp) :: zt2t1i11, zt2t1i12, zt2t1i21, zt2t1i22 + REAL(wp) :: zd11, zd12, zd22 + REAL(wp) :: zIIn1t2, zIIn2t1, zIIt1t2 + REAL(wp) :: zHen1t2, zHen2t1 + !!------------------------------------------------------------------- + + zpih = 0.5_wp*rpi + + zn1t2i11 = cos(pz+zpih-pphi) * cos(pz+pphi) + zn1t2i12 = cos(pz+zpih-pphi) * sin(pz+pphi) + zn1t2i21 = sin(pz+zpih-pphi) * cos(pz+pphi) + zn1t2i22 = sin(pz+zpih-pphi) * sin(pz+pphi) + zn2t1i11 = cos(pz-zpih+pphi) * cos(pz-pphi) + zn2t1i12 = cos(pz-zpih+pphi) * sin(pz-pphi) + zn2t1i21 = sin(pz-zpih+pphi) * cos(pz-pphi) + zn2t1i22 = sin(pz-zpih+pphi) * sin(pz-pphi) + zt1t2i11 = cos(pz-pphi) * cos(pz+pphi) + zt1t2i12 = cos(pz-pphi) * sin(pz+pphi) + zt1t2i21 = sin(pz-pphi) * cos(pz+pphi) + zt1t2i22 = sin(pz-pphi) * sin(pz+pphi) + zt2t1i11 = cos(pz+pphi) * cos(pz-pphi) + zt2t1i12 = cos(pz+pphi) * sin(pz-pphi) + zt2t1i21 = sin(pz+pphi) * cos(pz-pphi) + zt2t1i22 = sin(pz+pphi) * sin(pz-pphi) + ! In expression of tensor d, with this formulatin d(x)=-d(x+pi) + ! Solution, when diagonalizing always check sgn(a11-a22) if > then keep x else + ! x=x-pi/2 + zd11 = cos(py)*cos(py)*(cos(px)+sin(px)*tan(py)*tan(py)) + zd12 = cos(py)*cos(py)*tan(py)*(-cos(px)+sin(px)) + zd22 = cos(py)*cos(py)*(sin(px)+cos(px)*tan(py)*tan(py)) + zIIn1t2 = zn1t2i11 * zd11 + (zn1t2i12 + zn1t2i21) * zd12 + zn1t2i22 * zd22 + zIIn2t1 = zn2t1i11 * zd11 + (zn2t1i12 + zn2t1i21) * zd12 + zn2t1i22 * zd22 + zIIt1t2 = zt1t2i11 * zd11 + (zt1t2i12 + zt1t2i21) * zd12 + zt1t2i22 * zd22 + + IF (-zIIn1t2>=rsmall) THEN + zHen1t2 = 1._wp + ELSE + zHen1t2 = 0._wp + ENDIF + + IF (-zIIn2t1>=rsmall) THEN + zHen2t1 = 1._wp + ELSE + zHen2t1 = 0._wp + ENDIF + + !!------------------------------------------------------------------- + !! Function : s11kr + !!------------------------------------------------------------------- + allsk(1) = (- zHen1t2 * zn1t2i11 - zHen2t1 * zn2t1i11) + !!------------------------------------------------------------------- + !! Function : s12kr + !!------------------------------------------------------------------- + zs12r0 = (- zHen1t2 * zn1t2i12 - zHen2t1 * zn2t1i12) + zs21r0 = (- zHen1t2 * zn1t2i21 - zHen2t1 * zn2t1i21) + allsk(2)=0.5_wp*(zs12r0+zs21r0) + !!------------------------------------------------------------------- + !! Function : s22kr + !!------------------------------------------------------------------- + allsk(3) = (- zHen1t2 * zn1t2i22 - zHen2t1 * zn2t1i22) + !!------------------------------------------------------------------- + !! Function : s11ks + !!------------------------------------------------------------------- + + allsk(4) = sign(1._wp,zIIt1t2+rsmall)*(zHen1t2 * zt1t2i11 + zHen2t1 * zt2t1i11) + !!------------------------------------------------------------------- + !! Function : s12ks + !!------------------------------------------------------------------- + zs12s0 = sign(1._wp,zIIt1t2+rsmall)*(zHen1t2 * zt1t2i12 + zHen2t1 * zt2t1i12) + zs21s0 = sign(1._wp,zIIt1t2+rsmall)*(zHen1t2 * zt1t2i21 + zHen2t1 * zt2t1i21) + allsk(5)=0.5_wp*(zs12s0+zs21s0) + !!------------------------------------------------------------------- + !! Function : s22ks + !!------------------------------------------------------------------- + allsk(6) = sign(1._wp,zIIt1t2+rsmall)*(zHen1t2 * zt1t2i22 + zHen2t1 * zt2t1i22) + END SUBROUTINE all_skr_sks + +#else + !!---------------------------------------------------------------------- + !! Default option Empty module NO SI3 sea-ice model + !!---------------------------------------------------------------------- + USE par_kind + USE lib_mpp + CONTAINS + SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear_i, pdivu_i, pdelta_i, paniso_11, paniso_12, prdg_conv ) + INTEGER , INTENT(in ) :: kt ! time step + INTEGER , INTENT(in ) :: Kmm ! ocean time level index + REAL(wp), DIMENSION(:,:), INTENT(in ) :: pstress1_i, pstress2_i, pstress12_i ! + REAL(wp), DIMENSION(:,:), INTENT(in ) :: pshear_i , pdivu_i , pdelta_i ! + REAL(wp), DIMENSION(:,:), INTENT(in ) :: paniso_11 , paniso_12 ! structure tensor components + REAL(wp), DIMENSION(:,:), INTENT(in ) :: prdg_conv ! for ridging + CALL ctl_stop('EAP rheology is currently dsabled due to issues with AGRIF preprocessing') + END SUBROUTINE ice_dyn_rhg_eap + SUBROUTINE rhg_eap_rst( cdrw, kt ) + CHARACTER(len=*) , INTENT(in) :: cdrw ! "READ"/"WRITE" flag + INTEGER, OPTIONAL, INTENT(in) :: kt ! ice time-step + END SUBROUTINE rhg_eap_rst +#endif + + !!============================================================================== +END MODULE icedyn_rhg_eap diff --git a/ICE_RHEO/MY_SRC/icedyn_rhg_evp.F90 b/ICE_RHEO/MY_SRC/icedyn_rhg_evp.F90 new file mode 100644 index 0000000..d632307 --- /dev/null +++ b/ICE_RHEO/MY_SRC/icedyn_rhg_evp.F90 @@ -0,0 +1,1078 @@ +MODULE icedyn_rhg_evp + !!====================================================================== + !! *** MODULE icedyn_rhg_evp *** + !! Sea-Ice dynamics : rheology Elasto-Viscous-Plastic + !!====================================================================== + !! History : - ! 2007-03 (M.A. Morales Maqueda, S. Bouillon) Original code + !! 3.0 ! 2008-03 (M. Vancoppenolle) adaptation to new model + !! - ! 2008-11 (M. Vancoppenolle, S. Bouillon, Y. Aksenov) add surface tilt in ice rheolohy + !! 3.3 ! 2009-05 (G.Garric) addition of the evp case + !! 3.4 ! 2011-01 (A. Porter) dynamical allocation + !! 3.5 ! 2012-08 (R. Benshila) AGRIF + !! 3.6 ! 2016-06 (C. Rousset) Rewriting + landfast ice + mEVP (Bouillon 2013) + !! 3.7 ! 2017 (C. Rousset) add aEVP (Kimmritz 2016-2017) + !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] + !!---------------------------------------------------------------------- +#if defined key_si3 + !!---------------------------------------------------------------------- + !! 'key_si3' SI3 sea-ice model + !!---------------------------------------------------------------------- + !! ice_dyn_rhg_evp : computes ice velocities from EVP rheology + !! rhg_evp_rst : read/write EVP fields in ice restart + !!---------------------------------------------------------------------- + USE phycst ! Physical constant + USE dom_oce ! Ocean domain + USE sbc_oce , ONLY : ln_ice_embd, nn_fsbc, ssh_m + USE sbc_ice , ONLY : utau_ice, vtau_ice, snwice_mass, snwice_mass_b + USE ice ! sea-ice: ice variables + USE icevar ! ice_var_sshdyn + USE icedyn_rdgrft ! sea-ice: ice strength + USE bdy_oce , ONLY : ln_bdy + USE bdyice +#if defined key_agrif + USE agrif_ice_interp +#endif + ! + USE in_out_manager ! I/O manager + USE iom ! I/O manager library + USE lib_mpp ! MPP library + USE lib_fortran ! fortran utilities (glob_sum + no signed zero) + USE lbclnk ! lateral boundary conditions (or mpp links) + USE prtctl ! Print control + + USE netcdf ! NetCDF library for convergence test + IMPLICIT NONE + PRIVATE + + PUBLIC ice_dyn_rhg_evp ! called by icedyn_rhg.F90 + PUBLIC rhg_evp_rst ! called by icedyn_rhg.F90 + + !! * Substitutions +# include "do_loop_substitute.h90" +# include "domzgr_substitute.h90" + + !! for convergence tests + INTEGER :: ncvgid ! netcdf file id + INTEGER :: nvarid ! netcdf variable id + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zmsk00, zmsk15 + !!---------------------------------------------------------------------- + !! NEMO/ICE 4.0 , NEMO Consortium (2018) + !! $Id: icedyn_rhg_evp.F90 13612 2020-10-14 17:18:19Z clem $ + !! Software governed by the CeCILL license (see ./LICENSE) + !!---------------------------------------------------------------------- +CONTAINS + + SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear_i, pdivu_i, pdelta_i ) + !!------------------------------------------------------------------- + !! *** SUBROUTINE ice_dyn_rhg_evp *** + !! EVP-C-grid + !! + !! ** purpose : determines sea ice drift from wind stress, ice-ocean + !! stress and sea-surface slope. Ice-ice interaction is described by + !! a non-linear elasto-viscous-plastic (EVP) law including shear + !! strength and a bulk rheology (Hunke and Dukowicz, 2002). + !! + !! The points in the C-grid look like this, dear reader + !! + !! (ji,jj) + !! | + !! | + !! (ji-1,jj) | (ji,jj) + !! --------- + !! | | + !! | (ji,jj) |------(ji,jj) + !! | | + !! --------- + !! (ji-1,jj-1) (ji,jj-1) + !! + !! ** Inputs : - wind forcing (stress), oceanic currents + !! ice total volume (vt_i) per unit area + !! snow total volume (vt_s) per unit area + !! + !! ** Action : - compute u_ice, v_ice : the components of the + !! sea-ice velocity vector + !! - compute delta_i, shear_i, divu_i, which are inputs + !! of the ice thickness distribution + !! + !! ** Steps : 0) compute mask at F point + !! 1) Compute ice snow mass, ice strength + !! 2) Compute wind, oceanic stresses, mass terms and + !! coriolis terms of the momentum equation + !! 3) Solve the momentum equation (iterative procedure) + !! 4) Recompute delta, shear and divergence + !! (which are inputs of the ITD) & store stress + !! for the next time step + !! 5) Diagnostics including charge ellipse + !! + !! ** Notes : There is the possibility to use aEVP from the nice work of Kimmritz et al. (2016 & 2017) + !! by setting up ln_aEVP=T (i.e. changing alpha and beta parameters). + !! This is an upgraded version of mEVP from Bouillon et al. 2013 + !! (i.e. more stable and better convergence) + !! + !! References : Hunke and Dukowicz, JPO97 + !! Bouillon et al., Ocean Modelling 2009 + !! Bouillon et al., Ocean Modelling 2013 + !! Kimmritz et al., Ocean Modelling 2016 & 2017 + !!------------------------------------------------------------------- + INTEGER , INTENT(in ) :: kt ! time step + INTEGER , INTENT(in ) :: Kmm ! ocean time level index + REAL(wp), DIMENSION(:,:), INTENT(inout) :: pstress1_i, pstress2_i, pstress12_i ! + REAL(wp), DIMENSION(:,:), INTENT( out) :: pshear_i , pdivu_i , pdelta_i ! + !! + INTEGER :: ji, jj ! dummy loop indices + INTEGER :: jter ! local integers + ! + REAL(wp) :: zrhoco ! rho0 * rn_cio + REAL(wp) :: zdtevp, z1_dtevp ! time step for subcycling + REAL(wp) :: ecc2, z1_ecc2 ! square of yield ellipse eccenticity + REAL(wp) :: zalph1, z1_alph1, zalph2, z1_alph2 ! alpha coef from Bouillon 2009 or Kimmritz 2017 + REAl(wp) :: zbetau, zbetav + REAL(wp) :: zm1, zm2, zm3, zmassU, zmassV, zvU, zvV ! ice/snow mass and volume + REAL(wp) :: zp_delf, zds2, zdt, zdt2, zdiv, zdiv2 ! temporary scalars + REAL(wp) :: zTauO, zTauB, zRHS, zvel ! temporary scalars + REAL(wp) :: zkt ! isotropic tensile strength for landfast ice + REAL(wp) :: zvCr ! critical ice volume above which ice is landfast + ! + REAL(wp) :: zintb, zintn ! dummy argument + REAL(wp) :: zfac_x, zfac_y + REAL(wp) :: zshear, zdum1, zdum2 + REAL(wp) :: zinvw ! for test case + + ! + REAL(wp), DIMENSION(jpi,jpj) :: zdelta, zp_delt ! delta and P/delta at T points + REAL(wp), DIMENSION(jpi,jpj) :: zbeta ! beta coef from Kimmritz 2017 + ! + REAL(wp), DIMENSION(jpi,jpj) :: zdt_m ! (dt / ice-snow_mass) on T points + REAL(wp), DIMENSION(jpi,jpj) :: zaU , zaV ! ice fraction on U/V points + REAL(wp), DIMENSION(jpi,jpj) :: zmU_t, zmV_t ! (ice-snow_mass / dt) on U/V points + REAL(wp), DIMENSION(jpi,jpj) :: zmf ! coriolis parameter at T points + REAL(wp), DIMENSION(jpi,jpj) :: v_oceU, u_oceV, v_iceU, u_iceV ! ocean/ice u/v component on V/U points + ! + REAL(wp), DIMENSION(jpi,jpj) :: zds ! shear + REAL(wp), DIMENSION(jpi,jpj) :: zten_i ! tension + REAL(wp), DIMENSION(jpi,jpj) :: zs1, zs2, zs12 ! stress tensor components + REAL(wp), DIMENSION(jpi,jpj) :: zsshdyn ! array used for the calculation of ice surface slope: + ! ! ocean surface (ssh_m) if ice is not embedded + ! ! ice bottom surface if ice is embedded + REAL(wp), DIMENSION(jpi,jpj) :: zfU , zfV ! internal stresses + REAL(wp), DIMENSION(jpi,jpj) :: zspgU, zspgV ! surface pressure gradient at U/V points + REAL(wp), DIMENSION(jpi,jpj) :: zCorU, zCorV ! Coriolis stress array + REAL(wp), DIMENSION(jpi,jpj) :: ztaux_ai, ztauy_ai ! ice-atm. stress at U-V points + REAL(wp), DIMENSION(jpi,jpj) :: ztaux_oi, ztauy_oi ! ice-ocean stress at U-V points + REAL(wp), DIMENSION(jpi,jpj) :: ztaux_bi, ztauy_bi ! ice-OceanBottom stress at U-V points (landfast) + REAL(wp), DIMENSION(jpi,jpj) :: ztaux_base, ztauy_base ! ice-bottom stress at U-V points (landfast) + ! + REAL(wp), DIMENSION(jpi,jpj) :: zmsk01x, zmsk01y ! dummy arrays + REAL(wp), DIMENSION(jpi,jpj) :: zmsk00x, zmsk00y ! mask for ice presence + REAL(wp), DIMENSION(jpi,jpj) :: zfmask ! mask at F points for the ice + + REAL(wp), PARAMETER :: zepsi = 1.0e-20_wp ! tolerance parameter + REAL(wp), PARAMETER :: zmmin = 1._wp ! ice mass (kg/m2) below which ice velocity becomes very small + REAL(wp), PARAMETER :: zamin = 0.001_wp ! ice concentration below which ice velocity becomes very small + !! --- check convergence + REAL(wp), DIMENSION(jpi,jpj) :: zu_ice, zv_ice + !! --- diags + REAL(wp) :: zsig1, zsig2, zsig12, zfac, z1_strength + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zsig_I, zsig_II, zsig1_p, zsig2_p + !! --- SIMIP diags + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xmtrp_ice ! X-component of ice mass transport (kg/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_ymtrp_ice ! Y-component of ice mass transport (kg/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xmtrp_snw ! X-component of snow mass transport (kg/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_ymtrp_snw ! Y-component of snow mass transport (kg/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xatrp ! X-component of area transport (m2/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_yatrp ! Y-component of area transport (m2/s) + !!------------------------------------------------------------------- + + IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_rhg_evp: EVP sea-ice rheology' + ! + ! for diagnostics and convergence tests + ALLOCATE( zmsk00(jpi,jpj), zmsk15(jpi,jpj) ) + DO_2D( 1, 1, 1, 1 ) + zmsk00(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi06 ) ) ! 1 if ice , 0 if no ice + zmsk15(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - 0.15_wp ) ) ! 1 if 15% ice, 0 if less + END_2D + ! + !!gm for Clem: OPTIMIZATION: I think zfmask can be computed one for all at the initialization.... + !------------------------------------------------------------------------------! + ! 0) mask at F points for the ice + !------------------------------------------------------------------------------! + ! ocean/land mask + DO_2D( 1, 0, 1, 0 ) + zfmask(ji,jj) = tmask(ji,jj,1) * tmask(ji+1,jj,1) * tmask(ji,jj+1,1) * tmask(ji+1,jj+1,1) + END_2D + CALL lbc_lnk( 'icedyn_rhg_evp', zfmask, 'F', 1._wp ) + + ! Lateral boundary conditions on velocity (modify zfmask) + DO_2D( 0, 0, 0, 0 ) + IF( zfmask(ji,jj) == 0._wp ) THEN + zfmask(ji,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(ji,jj,1), umask(ji,jj+1,1), & + & vmask(ji,jj,1), vmask(ji+1,jj,1) ) ) + ENDIF + END_2D + DO jj = 2, jpjm1 + IF( zfmask(1,jj) == 0._wp ) THEN + zfmask(1 ,jj) = rn_ishlat * MIN( 1._wp , MAX( vmask(2,jj,1), umask(1,jj+1,1), umask(1,jj,1) ) ) + ENDIF + IF( zfmask(jpi,jj) == 0._wp ) THEN + zfmask(jpi,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(jpi,jj+1,1), vmask(jpim1,jj,1), umask(jpi,jj-1,1) ) ) + ENDIF + END DO + DO ji = 2, jpim1 + IF( zfmask(ji,1) == 0._wp ) THEN + zfmask(ji, 1 ) = rn_ishlat * MIN( 1._wp , MAX( vmask(ji+1,1,1), umask(ji,2,1), vmask(ji,1,1) ) ) + ENDIF + IF( zfmask(ji,jpj) == 0._wp ) THEN + zfmask(ji,jpj) = rn_ishlat * MIN( 1._wp , MAX( vmask(ji+1,jpj,1), vmask(ji-1,jpj,1), umask(ji,jpjm1,1) ) ) + ENDIF + END DO + CALL lbc_lnk( 'icedyn_rhg_evp', zfmask, 'F', 1._wp ) + + !------------------------------------------------------------------------------! + ! 1) define some variables and initialize arrays + !------------------------------------------------------------------------------! + zrhoco = rho0 * rn_cio +!extra code for test case boundary conditions + zinvw=1._wp/(zrhoco*0.5_wp) + + ! ecc2: square of yield ellipse eccenticrity + ecc2 = rn_ecc * rn_ecc + z1_ecc2 = 1._wp / ecc2 + + ! alpha parameters (Bouillon 2009) + IF( .NOT. ln_aEVP ) THEN + zdtevp = rDt_ice / REAL( nn_nevp ) + zalph1 = 2._wp * rn_relast * REAL( nn_nevp ) + zalph2 = zalph1 * z1_ecc2 + + z1_alph1 = 1._wp / ( zalph1 + 1._wp ) + z1_alph2 = 1._wp / ( zalph2 + 1._wp ) + ELSE + zdtevp = rdt_ice + ! zalpha parameters set later on adaptatively + ENDIF + z1_dtevp = 1._wp / zdtevp + + ! Initialise stress tensor + zs1 (:,:) = pstress1_i (:,:) + zs2 (:,:) = pstress2_i (:,:) + zs12(:,:) = pstress12_i(:,:) + + ! Ice strength + CALL ice_strength + + ! landfast param from Lemieux(2016): add isotropic tensile strength (following Konig Beatty and Holland, 2010) + IF( ln_landfast_L16 ) THEN ; zkt = rn_lf_tensile + ELSE ; zkt = 0._wp + ENDIF + ! + !------------------------------------------------------------------------------! + ! 2) Wind / ocean stress, mass terms, coriolis terms + !------------------------------------------------------------------------------! + ! sea surface height + ! embedded sea ice: compute representative ice top surface + ! non-embedded sea ice: use ocean surface for slope calculation + zsshdyn(:,:) = ice_var_sshdyn( ssh_m, snwice_mass, snwice_mass_b) + + DO_2D( 0, 0, 0, 0 ) + + ! ice fraction at U-V points + zaU(ji,jj) = 0.5_wp * ( at_i(ji,jj) * e1e2t(ji,jj) + at_i(ji+1,jj) * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) + zaV(ji,jj) = 0.5_wp * ( at_i(ji,jj) * e1e2t(ji,jj) + at_i(ji,jj+1) * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) + + ! Ice/snow mass at U-V points + zm1 = ( rhos * vt_s(ji ,jj ) + rhoi * vt_i(ji ,jj ) ) + zm2 = ( rhos * vt_s(ji+1,jj ) + rhoi * vt_i(ji+1,jj ) ) + zm3 = ( rhos * vt_s(ji ,jj+1) + rhoi * vt_i(ji ,jj+1) ) + zmassU = 0.5_wp * ( zm1 * e1e2t(ji,jj) + zm2 * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) + zmassV = 0.5_wp * ( zm1 * e1e2t(ji,jj) + zm3 * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) + + ! Ocean currents at U-V points + v_oceU(ji,jj) = 0.25_wp * ( v_oce(ji,jj) + v_oce(ji,jj-1) + v_oce(ji+1,jj) + v_oce(ji+1,jj-1) ) * umask(ji,jj,1) + u_oceV(ji,jj) = 0.25_wp * ( u_oce(ji,jj) + u_oce(ji-1,jj) + u_oce(ji,jj+1) + u_oce(ji-1,jj+1) ) * vmask(ji,jj,1) + + ! Coriolis at T points (m*f) + zmf(ji,jj) = zm1 * ff_t(ji,jj) + + ! dt/m at T points (for alpha and beta coefficients) + zdt_m(ji,jj) = zdtevp / MAX( zm1, zmmin ) + + ! m/dt + zmU_t(ji,jj) = zmassU * z1_dtevp + zmV_t(ji,jj) = zmassV * z1_dtevp + + ! Drag ice-atm. + ztaux_ai(ji,jj) = zaU(ji,jj) * utau_ice(ji,jj) + ztauy_ai(ji,jj) = zaV(ji,jj) * vtau_ice(ji,jj) + + ! Surface pressure gradient (- m*g*GRAD(ssh)) at U-V points + zspgU(ji,jj) = - zmassU * grav * ( zsshdyn(ji+1,jj) - zsshdyn(ji,jj) ) * r1_e1u(ji,jj) + zspgV(ji,jj) = - zmassV * grav * ( zsshdyn(ji,jj+1) - zsshdyn(ji,jj) ) * r1_e2v(ji,jj) + + ! masks + zmsk00x(ji,jj) = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zmassU ) ) ! 0 if no ice + zmsk00y(ji,jj) = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zmassV ) ) ! 0 if no ice + + ! switches + IF( zmassU <= zmmin .AND. zaU(ji,jj) <= zamin ) THEN ; zmsk01x(ji,jj) = 0._wp + ELSE ; zmsk01x(ji,jj) = 1._wp ; ENDIF + IF( zmassV <= zmmin .AND. zaV(ji,jj) <= zamin ) THEN ; zmsk01y(ji,jj) = 0._wp + ELSE ; zmsk01y(ji,jj) = 1._wp ; ENDIF + + END_2D + CALL lbc_lnk( 'icedyn_rhg_evp', zmf, 'T', 1.0_wp, zdt_m, 'T', 1.0_wp ) + ! + ! !== Landfast ice parameterization ==! + ! + IF( ln_landfast_L16 ) THEN !-- Lemieux 2016 + DO_2D( 0, 0, 0, 0 ) + ! ice thickness at U-V points + zvU = 0.5_wp * ( vt_i(ji,jj) * e1e2t(ji,jj) + vt_i(ji+1,jj) * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) + zvV = 0.5_wp * ( vt_i(ji,jj) * e1e2t(ji,jj) + vt_i(ji,jj+1) * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) + ! ice-bottom stress at U points + zvCr = zaU(ji,jj) * rn_lf_depfra * hu(ji,jj,Kmm) + ztaux_base(ji,jj) = - rn_lf_bfr * MAX( 0._wp, zvU - zvCr ) * EXP( -rn_crhg * ( 1._wp - zaU(ji,jj) ) ) + ! ice-bottom stress at V points + zvCr = zaV(ji,jj) * rn_lf_depfra * hv(ji,jj,Kmm) + ztauy_base(ji,jj) = - rn_lf_bfr * MAX( 0._wp, zvV - zvCr ) * EXP( -rn_crhg * ( 1._wp - zaV(ji,jj) ) ) + ! ice_bottom stress at T points + zvCr = at_i(ji,jj) * rn_lf_depfra * ht(ji,jj) + tau_icebfr(ji,jj) = - rn_lf_bfr * MAX( 0._wp, vt_i(ji,jj) - zvCr ) * EXP( -rn_crhg * ( 1._wp - at_i(ji,jj) ) ) + END_2D + CALL lbc_lnk( 'icedyn_rhg_evp', tau_icebfr(:,:), 'T', 1.0_wp ) + ! + ELSE !-- no landfast + DO_2D( 0, 0, 0, 0 ) + ztaux_base(ji,jj) = 0._wp + ztauy_base(ji,jj) = 0._wp + END_2D + ENDIF + + !------------------------------------------------------------------------------! + ! 3) Solution of the momentum equation, iterative procedure + !------------------------------------------------------------------------------! + ! + ! ! ==================== ! + DO jter = 1 , nn_nevp ! loop over jter ! + ! ! ==================== ! + l_full_nf_update = jter == nn_nevp ! false: disable full North fold update (performances) for iter = 1 to nn_nevp-1 + ! + ! convergence test + IF( nn_rhg_chkcvg == 1 .OR. nn_rhg_chkcvg == 2 ) THEN + DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) + zu_ice(ji,jj) = u_ice(ji,jj) * umask(ji,jj,1) ! velocity at previous time step + zv_ice(ji,jj) = v_ice(ji,jj) * vmask(ji,jj,1) + END_2D + ENDIF + + ! --- divergence, tension & shear (Appendix B of Hunke & Dukowicz, 2002) --- ! + DO_2D( 1, 0, 1, 0 ) + + ! shear at F points + zds(ji,jj) = ( ( u_ice(ji,jj+1) * r1_e1u(ji,jj+1) - u_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & + & + ( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & + & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) + + END_2D + + DO_2D( 0, 0, 0, 0 ) + + ! shear**2 at T points (doc eq. A16) + zds2 = ( zds(ji,jj ) * zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * zds(ji-1,jj ) * e1e2f(ji-1,jj ) & + & + zds(ji,jj-1) * zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & + & ) * 0.25_wp * r1_e1e2t(ji,jj) + + ! divergence at T points + zdiv = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & + & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & + & ) * r1_e1e2t(ji,jj) + zdiv2 = zdiv * zdiv + + ! tension at T points + zdt = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & + & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & + & ) * r1_e1e2t(ji,jj) + zdt2 = zdt * zdt + + ! delta at T points + zdelta(ji,jj) = SQRT( zdiv2 + ( zdt2 + zds2 ) * z1_ecc2 ) + + END_2D + CALL lbc_lnk( 'icedyn_rhg_evp', zdelta, 'T', 1.0_wp ) + + ! P/delta at T points + DO_2D( 1, 1, 1, 1 ) + zp_delt(ji,jj) = strength(ji,jj) / ( zdelta(ji,jj) + rn_creepl ) + END_2D + + DO_2D( 0, 1, 0, 1 ) ! loop ends at jpi,jpj so that no lbc_lnk are needed for zs1 and zs2 + + ! divergence at T points (duplication to avoid communications) + zdiv = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & + & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & + & ) * r1_e1e2t(ji,jj) + + ! tension at T points (duplication to avoid communications) + zdt = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & + & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & + & ) * r1_e1e2t(ji,jj) + + ! alpha for aEVP + ! gamma = 0.5*P/(delta+creepl) * (c*pi)**2/Area * dt/m + ! alpha = beta = sqrt(4*gamma) + IF( ln_aEVP ) THEN + zalph1 = MAX( 50._wp, rpi * SQRT( 0.5_wp * zp_delt(ji,jj) * r1_e1e2t(ji,jj) * zdt_m(ji,jj) ) ) + z1_alph1 = 1._wp / ( zalph1 + 1._wp ) + zalph2 = zalph1 + z1_alph2 = z1_alph1 + ! explicit: + ! z1_alph1 = 1._wp / zalph1 + ! z1_alph2 = 1._wp / zalph1 + ! zalph1 = zalph1 - 1._wp + ! zalph2 = zalph1 + ENDIF + + ! stress at T points (zkt/=0 if landfast) + zs1(ji,jj) = ( zs1(ji,jj)*zalph1 + zp_delt(ji,jj) * ( zdiv*(1._wp + zkt) - zdelta(ji,jj)*(1._wp - zkt) ) ) * z1_alph1 + zs2(ji,jj) = ( zs2(ji,jj)*zalph2 + zp_delt(ji,jj) * ( zdt * z1_ecc2 * (1._wp + zkt) ) ) * z1_alph2 + + END_2D + + ! Save beta at T-points for further computations + IF( ln_aEVP ) THEN + DO_2D( 1, 1, 1, 1 ) + zbeta(ji,jj) = MAX( 50._wp, rpi * SQRT( 0.5_wp * zp_delt(ji,jj) * r1_e1e2t(ji,jj) * zdt_m(ji,jj) ) ) + END_2D + ENDIF + + DO_2D( 1, 0, 1, 0 ) + + ! alpha for aEVP + IF( ln_aEVP ) THEN + zalph2 = MAX( zbeta(ji,jj), zbeta(ji+1,jj), zbeta(ji,jj+1), zbeta(ji+1,jj+1) ) + z1_alph2 = 1._wp / ( zalph2 + 1._wp ) + ! explicit: + ! z1_alph2 = 1._wp / zalph2 + ! zalph2 = zalph2 - 1._wp + ENDIF + + ! P/delta at F points + zp_delf = 0.25_wp * ( zp_delt(ji,jj) + zp_delt(ji+1,jj) + zp_delt(ji,jj+1) + zp_delt(ji+1,jj+1) ) + + ! stress at F points (zkt/=0 if landfast) + zs12(ji,jj)= ( zs12(ji,jj) * zalph2 + zp_delf * ( zds(ji,jj) * z1_ecc2 * (1._wp + zkt) ) * 0.5_wp ) * z1_alph2 + + END_2D + + ! --- Ice internal stresses (Appendix C of Hunke and Dukowicz, 2002) --- ! + DO_2D( 0, 0, 0, 0 ) + ! !--- U points + zfU(ji,jj) = 0.5_wp * ( ( zs1(ji+1,jj) - zs1(ji,jj) ) * e2u(ji,jj) & + & + ( zs2(ji+1,jj) * e2t(ji+1,jj) * e2t(ji+1,jj) - zs2(ji,jj) * e2t(ji,jj) * e2t(ji,jj) & + & ) * r1_e2u(ji,jj) & + & + ( zs12(ji,jj) * e1f(ji,jj) * e1f(ji,jj) - zs12(ji,jj-1) * e1f(ji,jj-1) * e1f(ji,jj-1) & + & ) * 2._wp * r1_e1u(ji,jj) & + & ) * r1_e1e2u(ji,jj) + ! + ! !--- V points + zfV(ji,jj) = 0.5_wp * ( ( zs1(ji,jj+1) - zs1(ji,jj) ) * e1v(ji,jj) & + & - ( zs2(ji,jj+1) * e1t(ji,jj+1) * e1t(ji,jj+1) - zs2(ji,jj) * e1t(ji,jj) * e1t(ji,jj) & + & ) * r1_e1v(ji,jj) & + & + ( zs12(ji,jj) * e2f(ji,jj) * e2f(ji,jj) - zs12(ji-1,jj) * e2f(ji-1,jj) * e2f(ji-1,jj) & + & ) * 2._wp * r1_e2v(ji,jj) & + & ) * r1_e1e2v(ji,jj) + ! + ! !--- ice currents at U-V point + v_iceU(ji,jj) = 0.25_wp * ( v_ice(ji,jj) + v_ice(ji,jj-1) + v_ice(ji+1,jj) + v_ice(ji+1,jj-1) ) * umask(ji,jj,1) + u_iceV(ji,jj) = 0.25_wp * ( u_ice(ji,jj) + u_ice(ji-1,jj) + u_ice(ji,jj+1) + u_ice(ji-1,jj+1) ) * vmask(ji,jj,1) + ! + END_2D + ! + ! --- Computation of ice velocity --- ! + ! Bouillon et al. 2013 (eq 47-48) => unstable unless alpha, beta vary as in Kimmritz 2016 & 2017 + ! Bouillon et al. 2009 (eq 34-35) => stable + IF( MOD(jter,2) == 0 ) THEN ! even iterations + ! + DO_2D( 0, 0, 0, 0 ) + ! !--- tau_io/(v_oce - v_ice) + zTauO = zaV(ji,jj) * zrhoco * SQRT( ( v_ice (ji,jj) - v_oce (ji,jj) ) * ( v_ice (ji,jj) - v_oce (ji,jj) ) & + & + ( u_iceV(ji,jj) - u_oceV(ji,jj) ) * ( u_iceV(ji,jj) - u_oceV(ji,jj) ) ) + ! !--- Ocean-to-Ice stress + ztauy_oi(ji,jj) = zTauO * ( v_oce(ji,jj) - v_ice(ji,jj) ) + ! + ! !--- tau_bottom/v_ice + zvel = 5.e-05_wp + SQRT( v_ice(ji,jj) * v_ice(ji,jj) + u_iceV(ji,jj) * u_iceV(ji,jj) ) + zTauB = ztauy_base(ji,jj) / zvel + ! !--- OceanBottom-to-Ice stress + ztauy_bi(ji,jj) = zTauB * v_ice(ji,jj) + ! + ! !--- Coriolis at V-points (energy conserving formulation) + zCorV(ji,jj) = - 0.25_wp * r1_e2v(ji,jj) * & + & ( zmf(ji,jj ) * ( e2u(ji,jj ) * u_ice(ji,jj ) + e2u(ji-1,jj ) * u_ice(ji-1,jj ) ) & + & + zmf(ji,jj+1) * ( e2u(ji,jj+1) * u_ice(ji,jj+1) + e2u(ji-1,jj+1) * u_ice(ji-1,jj+1) ) ) + ! + ! !--- Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io + zRHS = zfV(ji,jj) + ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj) + ! + ! !--- landfast switch => 0 = static friction : TauB > RHS & sign(TauB) /= sign(RHS) + ! 1 = sliding friction : TauB < RHS + rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, zRHS + ztauy_base(ji,jj) ) - SIGN( 1._wp, zRHS ) ) ) + ! + IF( ln_aEVP ) THEN !--- ice velocity using aEVP (Kimmritz et al 2016 & 2017) + zbetav = MAX( zbeta(ji,jj), zbeta(ji,jj+1) ) + v_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * ( zbetav * v_ice(ji,jj) + v_ice_b(ji,jj) ) & ! previous velocity + & + zRHS + zTauO * v_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmV_t(ji,jj) * ( zbetav + 1._wp ) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * ( v_ice_b(ji,jj) & + & + v_ice (ji,jj) * MAX( 0._wp, zbetav - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) / ( zbetav + 1._wp ) & + & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00y(ji,jj) + ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) + v_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * v_ice(ji,jj) & ! previous velocity + & + zRHS + zTauO * v_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmV_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * v_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00y(ji,jj) + ENDIF +!extra code for test case boundary conditions + IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN + v_ice(ji,jj) = zinvw*(ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj)) + END IF + END_2D + CALL lbc_lnk( 'icedyn_rhg_evp', v_ice, 'V', -1.0_wp ) + ! +#if defined key_agrif +!! CALL agrif_interp_ice( 'V', jter, nn_nevp ) + CALL agrif_interp_ice( 'V' ) +#endif + IF( ln_bdy ) CALL bdy_ice_dyn( 'V' ) + ! + DO_2D( 0, 0, 0, 0 ) + ! !--- tau_io/(u_oce - u_ice) + zTauO = zaU(ji,jj) * zrhoco * SQRT( ( u_ice (ji,jj) - u_oce (ji,jj) ) * ( u_ice (ji,jj) - u_oce (ji,jj) ) & + & + ( v_iceU(ji,jj) - v_oceU(ji,jj) ) * ( v_iceU(ji,jj) - v_oceU(ji,jj) ) ) + ! !--- Ocean-to-Ice stress + ztaux_oi(ji,jj) = zTauO * ( u_oce(ji,jj) - u_ice(ji,jj) ) + ! + ! !--- tau_bottom/u_ice + zvel = 5.e-05_wp + SQRT( v_iceU(ji,jj) * v_iceU(ji,jj) + u_ice(ji,jj) * u_ice(ji,jj) ) + zTauB = ztaux_base(ji,jj) / zvel + ! !--- OceanBottom-to-Ice stress + ztaux_bi(ji,jj) = zTauB * u_ice(ji,jj) + ! + ! !--- Coriolis at U-points (energy conserving formulation) + zCorU(ji,jj) = 0.25_wp * r1_e1u(ji,jj) * & + & ( zmf(ji ,jj) * ( e1v(ji ,jj) * v_ice(ji ,jj) + e1v(ji ,jj-1) * v_ice(ji ,jj-1) ) & + & + zmf(ji+1,jj) * ( e1v(ji+1,jj) * v_ice(ji+1,jj) + e1v(ji+1,jj-1) * v_ice(ji+1,jj-1) ) ) + ! + ! !--- Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io + zRHS = zfU(ji,jj) + ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj) + ! + ! !--- landfast switch => 0 = static friction : TauB > RHS & sign(TauB) /= sign(RHS) + ! 1 = sliding friction : TauB < RHS + rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, zRHS + ztaux_base(ji,jj) ) - SIGN( 1._wp, zRHS ) ) ) + ! + IF( ln_aEVP ) THEN !--- ice velocity using aEVP (Kimmritz et al 2016 & 2017) + zbetau = MAX( zbeta(ji,jj), zbeta(ji+1,jj) ) + u_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * ( zbetau * u_ice(ji,jj) + u_ice_b(ji,jj) ) & ! previous velocity + & + zRHS + zTauO * u_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmU_t(ji,jj) * ( zbetau + 1._wp ) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * ( u_ice_b(ji,jj) & + & + u_ice (ji,jj) * MAX( 0._wp, zbetau - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) / ( zbetau + 1._wp ) & + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00x(ji,jj) + ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) + u_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * u_ice(ji,jj) & ! previous velocity + & + zRHS + zTauO * u_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmU_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * u_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00x(ji,jj) + ENDIF +!extra code for test case boundary conditions + IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN + u_ice(ji,jj) = zinvw*(ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj)) + END IF + END_2D + CALL lbc_lnk( 'icedyn_rhg_evp', u_ice, 'U', -1.0_wp ) + ! +#if defined key_agrif +!! CALL agrif_interp_ice( 'U', jter, nn_nevp ) + CALL agrif_interp_ice( 'U' ) +#endif + IF( ln_bdy ) CALL bdy_ice_dyn( 'U' ) + ! + ELSE ! odd iterations + ! + DO_2D( 0, 0, 0, 0 ) + ! !--- tau_io/(u_oce - u_ice) + zTauO = zaU(ji,jj) * zrhoco * SQRT( ( u_ice (ji,jj) - u_oce (ji,jj) ) * ( u_ice (ji,jj) - u_oce (ji,jj) ) & + & + ( v_iceU(ji,jj) - v_oceU(ji,jj) ) * ( v_iceU(ji,jj) - v_oceU(ji,jj) ) ) + ! !--- Ocean-to-Ice stress + ztaux_oi(ji,jj) = zTauO * ( u_oce(ji,jj) - u_ice(ji,jj) ) + ! + ! !--- tau_bottom/u_ice + zvel = 5.e-05_wp + SQRT( v_iceU(ji,jj) * v_iceU(ji,jj) + u_ice(ji,jj) * u_ice(ji,jj) ) + zTauB = ztaux_base(ji,jj) / zvel + ! !--- OceanBottom-to-Ice stress + ztaux_bi(ji,jj) = zTauB * u_ice(ji,jj) + ! + ! !--- Coriolis at U-points (energy conserving formulation) + zCorU(ji,jj) = 0.25_wp * r1_e1u(ji,jj) * & + & ( zmf(ji ,jj) * ( e1v(ji ,jj) * v_ice(ji ,jj) + e1v(ji ,jj-1) * v_ice(ji ,jj-1) ) & + & + zmf(ji+1,jj) * ( e1v(ji+1,jj) * v_ice(ji+1,jj) + e1v(ji+1,jj-1) * v_ice(ji+1,jj-1) ) ) + ! + ! !--- Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io + zRHS = zfU(ji,jj) + ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj) + ! + ! !--- landfast switch => 0 = static friction : TauB > RHS & sign(TauB) /= sign(RHS) + ! 1 = sliding friction : TauB < RHS + rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, zRHS + ztaux_base(ji,jj) ) - SIGN( 1._wp, zRHS ) ) ) + ! + IF( ln_aEVP ) THEN !--- ice velocity using aEVP (Kimmritz et al 2016 & 2017) + zbetau = MAX( zbeta(ji,jj), zbeta(ji+1,jj) ) + u_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * ( zbetau * u_ice(ji,jj) + u_ice_b(ji,jj) ) & ! previous velocity + & + zRHS + zTauO * u_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmU_t(ji,jj) * ( zbetau + 1._wp ) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * ( u_ice_b(ji,jj) & + & + u_ice (ji,jj) * MAX( 0._wp, zbetau - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) / ( zbetau + 1._wp ) & + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00x(ji,jj) + ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) + u_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * u_ice(ji,jj) & ! previous velocity + & + zRHS + zTauO * u_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmU_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * u_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00x(ji,jj) + ENDIF +!extra code for test case boundary conditions + IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN + u_ice(ji,jj) = zinvw*(ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj)) + END IF + END_2D + CALL lbc_lnk( 'icedyn_rhg_evp', u_ice, 'U', -1.0_wp ) + ! +#if defined key_agrif +!! CALL agrif_interp_ice( 'U', jter, nn_nevp ) + CALL agrif_interp_ice( 'U' ) +#endif + IF( ln_bdy ) CALL bdy_ice_dyn( 'U' ) + ! + DO_2D( 0, 0, 0, 0 ) + ! !--- tau_io/(v_oce - v_ice) + zTauO = zaV(ji,jj) * zrhoco * SQRT( ( v_ice (ji,jj) - v_oce (ji,jj) ) * ( v_ice (ji,jj) - v_oce (ji,jj) ) & + & + ( u_iceV(ji,jj) - u_oceV(ji,jj) ) * ( u_iceV(ji,jj) - u_oceV(ji,jj) ) ) + ! !--- Ocean-to-Ice stress + ztauy_oi(ji,jj) = zTauO * ( v_oce(ji,jj) - v_ice(ji,jj) ) + ! + ! !--- tau_bottom/v_ice + zvel = 5.e-05_wp + SQRT( v_ice(ji,jj) * v_ice(ji,jj) + u_iceV(ji,jj) * u_iceV(ji,jj) ) + zTauB = ztauy_base(ji,jj) / zvel + ! !--- OceanBottom-to-Ice stress + ztauy_bi(ji,jj) = zTauB * v_ice(ji,jj) + ! + ! !--- Coriolis at v-points (energy conserving formulation) + zCorV(ji,jj) = - 0.25_wp * r1_e2v(ji,jj) * & + & ( zmf(ji,jj ) * ( e2u(ji,jj ) * u_ice(ji,jj ) + e2u(ji-1,jj ) * u_ice(ji-1,jj ) ) & + & + zmf(ji,jj+1) * ( e2u(ji,jj+1) * u_ice(ji,jj+1) + e2u(ji-1,jj+1) * u_ice(ji-1,jj+1) ) ) + ! + ! !--- Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io + zRHS = zfV(ji,jj) + ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj) + ! + ! !--- landfast switch => 0 = static friction : TauB > RHS & sign(TauB) /= sign(RHS) + ! 1 = sliding friction : TauB < RHS + rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, zRHS + ztauy_base(ji,jj) ) - SIGN( 1._wp, zRHS ) ) ) + ! + IF( ln_aEVP ) THEN !--- ice velocity using aEVP (Kimmritz et al 2016 & 2017) + zbetav = MAX( zbeta(ji,jj), zbeta(ji,jj+1) ) + v_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * ( zbetav * v_ice(ji,jj) + v_ice_b(ji,jj) ) & ! previous velocity + & + zRHS + zTauO * v_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmV_t(ji,jj) * ( zbetav + 1._wp ) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * ( v_ice_b(ji,jj) & + & + v_ice (ji,jj) * MAX( 0._wp, zbetav - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) / ( zbetav + 1._wp ) & + & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00y(ji,jj) + ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) + v_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * v_ice(ji,jj) & ! previous velocity + & + zRHS + zTauO * v_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) + & ) / MAX( zepsi, zmV_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast + & + ( 1._wp - rswitch ) * v_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 + & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk00y(ji,jj) + ENDIF +!extra code for test case boundary conditions + IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN + v_ice(ji,jj) = zinvw*(ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj)) + END IF + END_2D + CALL lbc_lnk( 'icedyn_rhg_evp', v_ice, 'V', -1.0_wp ) + ! +#if defined key_agrif +!! CALL agrif_interp_ice( 'V', jter, nn_nevp ) + CALL agrif_interp_ice( 'V' ) +#endif + IF( ln_bdy ) CALL bdy_ice_dyn( 'V' ) + ! + ENDIF + + ! convergence test + IF( nn_rhg_chkcvg == 2 ) CALL rhg_cvg( kt, jter, nn_nevp, u_ice, v_ice, zu_ice, zv_ice ) + ! + ! ! ==================== ! + END DO ! end loop over jter ! + ! ! ==================== ! + IF( ln_aEVP ) CALL iom_put( 'beta_evp' , zbeta ) + ! + !------------------------------------------------------------------------------! + ! 4) Recompute delta, shear and div (inputs for mechanical redistribution) + !------------------------------------------------------------------------------! + DO_2D( 1, 0, 1, 0 ) + + ! shear at F points + zds(ji,jj) = ( ( u_ice(ji,jj+1) * r1_e1u(ji,jj+1) - u_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & + & + ( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & + & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) + + END_2D + + DO_2D( 0, 0, 0, 0 ) ! no vector loop + + ! tension**2 at T points + zdt = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & + & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & + & ) * r1_e1e2t(ji,jj) + zdt2 = zdt * zdt + + zten_i(ji,jj) = zdt + + ! shear**2 at T points (doc eq. A16) + zds2 = ( zds(ji,jj ) * zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * zds(ji-1,jj ) * e1e2f(ji-1,jj ) & + & + zds(ji,jj-1) * zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & + & ) * 0.25_wp * r1_e1e2t(ji,jj) + + ! shear at T points + pshear_i(ji,jj) = SQRT( zdt2 + zds2 ) + + ! divergence at T points + pdivu_i(ji,jj) = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & + & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & + & ) * r1_e1e2t(ji,jj) + + ! delta at T points + zfac = SQRT( pdivu_i(ji,jj) * pdivu_i(ji,jj) + ( zdt2 + zds2 ) * z1_ecc2 ) ! delta + rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zfac ) ) ! 0 if delta=0 + pdelta_i(ji,jj) = zfac + rn_creepl * rswitch ! delta+creepl + + END_2D + CALL lbc_lnk( 'icedyn_rhg_evp', pshear_i, 'T', 1._wp, pdivu_i, 'T', 1._wp, pdelta_i, 'T', 1._wp, zten_i, 'T', 1._wp, & + & zs1 , 'T', 1._wp, zs2 , 'T', 1._wp, zs12 , 'F', 1._wp ) + + ! --- Store the stress tensor for the next time step --- ! + pstress1_i (:,:) = zs1 (:,:) + pstress2_i (:,:) = zs2 (:,:) + pstress12_i(:,:) = zs12(:,:) + ! + + !------------------------------------------------------------------------------! + ! 5) diagnostics + !------------------------------------------------------------------------------! + ! --- ice-ocean, ice-atm. & ice-oceanbottom(landfast) stresses --- ! + IF( iom_use('utau_oi') .OR. iom_use('vtau_oi') .OR. iom_use('utau_ai') .OR. iom_use('vtau_ai') .OR. & + & iom_use('utau_bi') .OR. iom_use('vtau_bi') ) THEN + ! + CALL lbc_lnk( 'icedyn_rhg_evp', ztaux_oi, 'U', -1.0_wp, ztauy_oi, 'V', -1.0_wp, & + & ztaux_ai, 'U', -1.0_wp, ztauy_ai, 'V', -1.0_wp, & + & ztaux_bi, 'U', -1.0_wp, ztauy_bi, 'V', -1.0_wp ) + ! + CALL iom_put( 'utau_oi' , ztaux_oi * zmsk00 ) + CALL iom_put( 'vtau_oi' , ztauy_oi * zmsk00 ) + CALL iom_put( 'utau_ai' , ztaux_ai * zmsk00 ) + CALL iom_put( 'vtau_ai' , ztauy_ai * zmsk00 ) + CALL iom_put( 'utau_bi' , ztaux_bi * zmsk00 ) + CALL iom_put( 'vtau_bi' , ztauy_bi * zmsk00 ) + ENDIF + + ! --- divergence, shear and strength --- ! + IF( iom_use('icediv') ) CALL iom_put( 'icediv' , pdivu_i * zmsk00 ) ! divergence + IF( iom_use('iceshe') ) CALL iom_put( 'iceshe' , pshear_i * zmsk00 ) ! shear + IF( iom_use('icestr') ) CALL iom_put( 'icestr' , strength * zmsk00 ) ! strength + + ! --- Stress tensor invariants (SIMIP diags) --- ! + IF( iom_use('normstr') .OR. iom_use('sheastr') ) THEN + ! + ALLOCATE( zsig_I(jpi,jpj) , zsig_II(jpi,jpj) ) + ! + DO_2D( 1, 1, 1, 1 ) + + ! Ice stresses + ! sigma1, sigma2, sigma12 are some useful recombination of the stresses (Hunke and Dukowicz MWR 2002, Bouillon et al., OM2013) + ! These are NOT stress tensor components, neither stress invariants, neither stress principal components + ! I know, this can be confusing... + zfac = strength(ji,jj) / ( pdelta_i(ji,jj) + rn_creepl ) + zsig1 = zfac * ( pdivu_i(ji,jj) - pdelta_i(ji,jj) ) + zsig2 = zfac * z1_ecc2 * zten_i(ji,jj) + zsig12 = zfac * z1_ecc2 * pshear_i(ji,jj) + + ! Stress invariants (sigma_I, sigma_II, Coon 1974, Feltham 2008) + zsig_I (ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure + zsig_II(ji,jj) = SQRT ( MAX( 0._wp, zsig2 * zsig2 * 0.25_wp + zsig12 ) ) ! 2nd '' '', aka maximum shear stress + + END_2D + ! + ! Stress tensor invariants (normal and shear stress N/m) - SIMIP diags - definitions following Coon (1974) and Feltham (2008) + IF( iom_use('normstr') ) CALL iom_put( 'normstr', zsig_I (:,:) * zmsk00(:,:) ) ! Normal stress + IF( iom_use('sheastr') ) CALL iom_put( 'sheastr', zsig_II(:,:) * zmsk00(:,:) ) ! Maximum shear stress + + DEALLOCATE ( zsig_I, zsig_II ) + + ENDIF + + ! --- Normalized stress tensor principal components --- ! + ! This are used to plot the normalized yield curve, see Lemieux & Dupont, 2020 + ! Recommendation 1 : we use ice strength, not replacement pressure + ! Recommendation 2 : need to use deformations at PREVIOUS iterate for viscosities + IF( iom_use('sig1_pnorm') .OR. iom_use('sig2_pnorm') ) THEN + ! + ALLOCATE( zsig1_p(jpi,jpj) , zsig2_p(jpi,jpj) , zsig_I(jpi,jpj) , zsig_II(jpi,jpj) ) + ! + DO_2D( 1, 1, 1, 1 ) + + ! Ice stresses computed with **viscosities** (delta, p/delta) at **previous** iterates + ! and **deformations** at current iterates + ! following Lemieux & Dupont (2020) + zfac = zp_delt(ji,jj) + zsig1 = zfac * ( pdivu_i(ji,jj) - ( zdelta(ji,jj) + rn_creepl ) ) + zsig2 = zfac * z1_ecc2 * zten_i(ji,jj) + zsig12 = zfac * z1_ecc2 * pshear_i(ji,jj) + + ! Stress invariants (sigma_I, sigma_II, Coon 1974, Feltham 2008), T-point + zsig_I(ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure + zsig_II(ji,jj) = SQRT ( MAX( 0._wp, zsig2 * zsig2 * 0.25_wp + zsig12 ) ) ! 2nd '' '', aka maximum shear stress + + ! Normalized principal stresses (used to display the ellipse) + z1_strength = 1._wp / MAX( 1._wp, strength(ji,jj) ) + zsig1_p(ji,jj) = ( zsig_I(ji,jj) + zsig_II(ji,jj) ) * z1_strength + zsig2_p(ji,jj) = ( zsig_I(ji,jj) - zsig_II(ji,jj) ) * z1_strength + END_2D + ! + CALL iom_put( 'sig1_pnorm' , zsig1_p ) + CALL iom_put( 'sig2_pnorm' , zsig2_p ) + + DEALLOCATE( zsig1_p , zsig2_p , zsig_I, zsig_II ) + + ENDIF + + ! --- SIMIP --- ! + IF( iom_use('dssh_dx') .OR. iom_use('dssh_dy') .OR. & + & iom_use('corstrx') .OR. iom_use('corstry') .OR. iom_use('intstrx') .OR. iom_use('intstry') ) THEN + ! + CALL lbc_lnk( 'icedyn_rhg_evp', zspgU, 'U', -1.0_wp, zspgV, 'V', -1.0_wp, & + & zCorU, 'U', -1.0_wp, zCorV, 'V', -1.0_wp, zfU, 'U', -1.0_wp, zfV, 'V', -1.0_wp ) + + CALL iom_put( 'dssh_dx' , zspgU * zmsk00 ) ! Sea-surface tilt term in force balance (x) + CALL iom_put( 'dssh_dy' , zspgV * zmsk00 ) ! Sea-surface tilt term in force balance (y) + CALL iom_put( 'corstrx' , zCorU * zmsk00 ) ! Coriolis force term in force balance (x) + CALL iom_put( 'corstry' , zCorV * zmsk00 ) ! Coriolis force term in force balance (y) + CALL iom_put( 'intstrx' , zfU * zmsk00 ) ! Internal force term in force balance (x) + CALL iom_put( 'intstry' , zfV * zmsk00 ) ! Internal force term in force balance (y) + ENDIF + + IF( iom_use('xmtrpice') .OR. iom_use('ymtrpice') .OR. & + & iom_use('xmtrpsnw') .OR. iom_use('ymtrpsnw') .OR. iom_use('xatrp') .OR. iom_use('yatrp') ) THEN + ! + ALLOCATE( zdiag_xmtrp_ice(jpi,jpj) , zdiag_ymtrp_ice(jpi,jpj) , & + & zdiag_xmtrp_snw(jpi,jpj) , zdiag_ymtrp_snw(jpi,jpj) , zdiag_xatrp(jpi,jpj) , zdiag_yatrp(jpi,jpj) ) + ! + DO_2D( 0, 0, 0, 0 ) + ! 2D ice mass, snow mass, area transport arrays (X, Y) + zfac_x = 0.5 * u_ice(ji,jj) * e2u(ji,jj) * zmsk00(ji,jj) + zfac_y = 0.5 * v_ice(ji,jj) * e1v(ji,jj) * zmsk00(ji,jj) + + zdiag_xmtrp_ice(ji,jj) = rhoi * zfac_x * ( vt_i(ji+1,jj) + vt_i(ji,jj) ) ! ice mass transport, X-component + zdiag_ymtrp_ice(ji,jj) = rhoi * zfac_y * ( vt_i(ji,jj+1) + vt_i(ji,jj) ) ! '' Y- '' + + zdiag_xmtrp_snw(ji,jj) = rhos * zfac_x * ( vt_s(ji+1,jj) + vt_s(ji,jj) ) ! snow mass transport, X-component + zdiag_ymtrp_snw(ji,jj) = rhos * zfac_y * ( vt_s(ji,jj+1) + vt_s(ji,jj) ) ! '' Y- '' + + zdiag_xatrp(ji,jj) = zfac_x * ( at_i(ji+1,jj) + at_i(ji,jj) ) ! area transport, X-component + zdiag_yatrp(ji,jj) = zfac_y * ( at_i(ji,jj+1) + at_i(ji,jj) ) ! '' Y- '' + + END_2D + + CALL lbc_lnk( 'icedyn_rhg_evp', zdiag_xmtrp_ice, 'U', -1.0_wp, zdiag_ymtrp_ice, 'V', -1.0_wp, & + & zdiag_xmtrp_snw, 'U', -1.0_wp, zdiag_ymtrp_snw, 'V', -1.0_wp, & + & zdiag_xatrp , 'U', -1.0_wp, zdiag_yatrp , 'V', -1.0_wp ) + + CALL iom_put( 'xmtrpice' , zdiag_xmtrp_ice ) ! X-component of sea-ice mass transport (kg/s) + CALL iom_put( 'ymtrpice' , zdiag_ymtrp_ice ) ! Y-component of sea-ice mass transport + CALL iom_put( 'xmtrpsnw' , zdiag_xmtrp_snw ) ! X-component of snow mass transport (kg/s) + CALL iom_put( 'ymtrpsnw' , zdiag_ymtrp_snw ) ! Y-component of snow mass transport + CALL iom_put( 'xatrp' , zdiag_xatrp ) ! X-component of ice area transport + CALL iom_put( 'yatrp' , zdiag_yatrp ) ! Y-component of ice area transport + + DEALLOCATE( zdiag_xmtrp_ice , zdiag_ymtrp_ice , & + & zdiag_xmtrp_snw , zdiag_ymtrp_snw , zdiag_xatrp , zdiag_yatrp ) + + ENDIF + ! + ! --- convergence tests --- ! + IF( nn_rhg_chkcvg == 1 .OR. nn_rhg_chkcvg == 2 ) THEN + IF( iom_use('uice_cvg') ) THEN + IF( ln_aEVP ) THEN ! output: beta * ( u(t=nn_nevp) - u(t=nn_nevp-1) ) + CALL iom_put( 'uice_cvg', MAX( ABS( u_ice(:,:) - zu_ice(:,:) ) * zbeta(:,:) * umask(:,:,1) , & + & ABS( v_ice(:,:) - zv_ice(:,:) ) * zbeta(:,:) * vmask(:,:,1) ) * zmsk15(:,:) ) + ELSE ! output: nn_nevp * ( u(t=nn_nevp) - u(t=nn_nevp-1) ) + CALL iom_put( 'uice_cvg', REAL( nn_nevp ) * MAX( ABS( u_ice(:,:) - zu_ice(:,:) ) * umask(:,:,1) , & + & ABS( v_ice(:,:) - zv_ice(:,:) ) * vmask(:,:,1) ) * zmsk15(:,:) ) + ENDIF + ENDIF + ENDIF + ! + DEALLOCATE( zmsk00, zmsk15 ) + ! + END SUBROUTINE ice_dyn_rhg_evp + + + SUBROUTINE rhg_cvg( kt, kiter, kitermax, pu, pv, pub, pvb ) + !!---------------------------------------------------------------------- + !! *** ROUTINE rhg_cvg *** + !! + !! ** Purpose : check convergence of oce rheology + !! + !! ** Method : create a file ice_cvg.nc containing the convergence of ice velocity + !! during the sub timestepping of rheology so as: + !! uice_cvg = MAX( u(t+1) - u(t) , v(t+1) - v(t) ) + !! This routine is called every sub-iteration, so it is cpu expensive + !! + !! ** Note : for the first sub-iteration, uice_cvg is set to 0 (too large otherwise) + !!---------------------------------------------------------------------- + INTEGER , INTENT(in) :: kt, kiter, kitermax ! ocean time-step index + REAL(wp), DIMENSION(:,:), INTENT(in) :: pu, pv, pub, pvb ! now and before velocities + !! + INTEGER :: it, idtime, istatus + INTEGER :: ji, jj ! dummy loop indices + REAL(wp) :: zresm ! local real + CHARACTER(len=20) :: clname + REAL(wp), DIMENSION(jpi,jpj) :: zres ! check convergence + !!---------------------------------------------------------------------- + + ! create file + IF( kt == nit000 .AND. kiter == 1 ) THEN + ! + IF( lwp ) THEN + WRITE(numout,*) + WRITE(numout,*) 'rhg_cvg : ice rheology convergence control' + WRITE(numout,*) '~~~~~~~' + ENDIF + ! + IF( lwm ) THEN + clname = 'ice_cvg.nc' + IF( .NOT. Agrif_Root() ) clname = TRIM(Agrif_CFixed())//"_"//TRIM(clname) + istatus = NF90_CREATE( TRIM(clname), NF90_CLOBBER, ncvgid ) + istatus = NF90_DEF_DIM( ncvgid, 'time' , NF90_UNLIMITED, idtime ) + istatus = NF90_DEF_VAR( ncvgid, 'uice_cvg', NF90_DOUBLE , (/ idtime /), nvarid ) + istatus = NF90_ENDDEF(ncvgid) + ENDIF + ! + ENDIF + + ! time + it = ( kt - 1 ) * kitermax + kiter + + ! convergence + IF( kiter == 1 ) THEN ! remove the first iteration for calculations of convergence (always very large) + zresm = 0._wp + ELSE + DO_2D( 1, 1, 1, 1 ) + zres(ji,jj) = MAX( ABS( pu(ji,jj) - pub(ji,jj) ) * umask(ji,jj,1), & + & ABS( pv(ji,jj) - pvb(ji,jj) ) * vmask(ji,jj,1) ) * zmsk15(ji,jj) + END_2D + + ! cut of the boundary of the box (forced velocities) + IF (mjg(jj)<=30 .or. mjg(jj)>970 .or. mig(ji)<=30 .or. mig(ji)>970) THEN + zres(ji,jj) = 0._wp + END IF + + zresm = MAXVAL( zres ) + CALL mpp_max( 'icedyn_rhg_evp', zresm ) ! max over the global domain + ENDIF + + IF( lwm ) THEN + ! write variables + istatus = NF90_PUT_VAR( ncvgid, nvarid, (/zresm/), (/it/), (/1/) ) + ! close file + IF( kt == nitend - nn_fsbc + 1 ) istatus = NF90_CLOSE(ncvgid) + ENDIF + + END SUBROUTINE rhg_cvg + + + SUBROUTINE rhg_evp_rst( cdrw, kt ) + !!--------------------------------------------------------------------- + !! *** ROUTINE rhg_evp_rst *** + !! + !! ** Purpose : Read or write RHG file in restart file + !! + !! ** Method : use of IOM library + !!---------------------------------------------------------------------- + CHARACTER(len=*) , INTENT(in) :: cdrw ! "READ"/"WRITE" flag + INTEGER, OPTIONAL, INTENT(in) :: kt ! ice time-step + ! + INTEGER :: iter ! local integer + INTEGER :: id1, id2, id3 ! local integers + !!---------------------------------------------------------------------- + ! + IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialize + ! ! --------------- + IF( ln_rstart ) THEN !* Read the restart file + ! + id1 = iom_varid( numrir, 'stress1_i' , ldstop = .FALSE. ) + id2 = iom_varid( numrir, 'stress2_i' , ldstop = .FALSE. ) + id3 = iom_varid( numrir, 'stress12_i', ldstop = .FALSE. ) + ! + IF( MIN( id1, id2, id3 ) > 0 ) THEN ! fields exist + CALL iom_get( numrir, jpdom_auto, 'stress1_i' , stress1_i , cd_type = 'T' ) + CALL iom_get( numrir, jpdom_auto, 'stress2_i' , stress2_i , cd_type = 'T' ) + CALL iom_get( numrir, jpdom_auto, 'stress12_i', stress12_i, cd_type = 'F' ) + ELSE ! start rheology from rest + IF(lwp) WRITE(numout,*) + IF(lwp) WRITE(numout,*) ' ==>>> previous run without rheology, set stresses to 0' + stress1_i (:,:) = 0._wp + stress2_i (:,:) = 0._wp + stress12_i(:,:) = 0._wp + ENDIF + ELSE !* Start from rest + IF(lwp) WRITE(numout,*) + IF(lwp) WRITE(numout,*) ' ==>>> start from rest: set stresses to 0' + stress1_i (:,:) = 0._wp + stress2_i (:,:) = 0._wp + stress12_i(:,:) = 0._wp + ENDIF + ! + ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file + ! ! ------------------- + IF(lwp) WRITE(numout,*) '---- rhg-rst ----' + iter = kt + nn_fsbc - 1 ! ice restarts are written at kt == nitrst - nn_fsbc + 1 + ! + CALL iom_rstput( iter, nitrst, numriw, 'stress1_i' , stress1_i ) + CALL iom_rstput( iter, nitrst, numriw, 'stress2_i' , stress2_i ) + CALL iom_rstput( iter, nitrst, numriw, 'stress12_i', stress12_i ) + ! + ENDIF + ! + END SUBROUTINE rhg_evp_rst + + +#else + !!---------------------------------------------------------------------- + !! Default option Empty module NO SI3 sea-ice model + !!---------------------------------------------------------------------- +#endif + + !!============================================================================== +END MODULE icedyn_rhg_evp diff --git a/ICE_RHEO/MY_SRC/usrdef_hgr.F90 b/ICE_RHEO/MY_SRC/usrdef_hgr.F90 new file mode 100644 index 0000000..e585820 --- /dev/null +++ b/ICE_RHEO/MY_SRC/usrdef_hgr.F90 @@ -0,0 +1,147 @@ +MODULE usrdef_hgr + !!====================================================================== + !! *** MODULE usrdef_hgr *** + !! + !! === ICE_RHEO configuration === + !! + !! User defined : mesh and Coriolis parameter of a user configuration + !!====================================================================== + !! History : NEMO ! 2016-08 (S. Flavoni, G. Madec) Original code + !!---------------------------------------------------------------------- + + !!---------------------------------------------------------------------- + !! usr_def_hgr : initialize the horizontal mesh for ICE_RHEO configuration + !!---------------------------------------------------------------------- + USE dom_oce ! ocean space and time domain + USE par_oce ! ocean space and time domain + USE phycst ! physical constants + USE usrdef_nam, ONLY: rn_dx, rn_dy, ln_corio, rn_ppgphi0 ! horizontal resolution in meters + ! coriolis and reference latitude + USE in_out_manager ! I/O manager + USE lib_mpp ! MPP library + + IMPLICIT NONE + PRIVATE + + PUBLIC usr_def_hgr ! called by domhgr.F90 + + !! * Substitutions +# include "do_loop_substitute.h90" + !!---------------------------------------------------------------------- + !! NEMO/OCE 4.0 , NEMO Consortium (2018) + !! $Id: usrdef_hgr.F90 10074 2018-08-28 16:15:49Z nicolasmartin $ + !! Software governed by the CeCILL license (see ./LICENSE) + !!---------------------------------------------------------------------- +CONTAINS + + SUBROUTINE usr_def_hgr( plamt , plamu , plamv , plamf , & ! geographic position (required) + & pphit , pphiu , pphiv , pphif , & ! + & kff , pff_f , pff_t , & ! Coriolis parameter (if domain not on the sphere) + & pe1t , pe1u , pe1v , pe1f , & ! scale factors (required) + & pe2t , pe2u , pe2v , pe2f , & ! + & ke1e2u_v , pe1e2u , pe1e2v ) ! u- & v-surfaces (if gridsize reduction is used in strait(s)) + !!---------------------------------------------------------------------- + !! *** ROUTINE usr_def_hgr *** + !! + !! ** Purpose : user defined mesh and Coriolis parameter + !! + !! ** Method : set all intent(out) argument to a proper value + !! ICE_RHEO configuration : uniform grid spacing (rn_dx) + !! without Coriolis force (f=0) + !! + !! ** Action : - define longitude & latitude of t-, u-, v- and f-points (in degrees) + !! - define coriolis parameter at f-point if the domain in not on the sphere (on beta-plane) + !! - define i- & j-scale factors at t-, u-, v- and f-points (in meters) + !! - define u- & v-surfaces (if gridsize reduction is used in some straits) (in m2) + !!---------------------------------------------------------------------- + REAL(wp), DIMENSION(:,:), INTENT(out) :: plamt, plamu, plamv, plamf ! longitude outputs [degrees] + REAL(wp), DIMENSION(:,:), INTENT(out) :: pphit, pphiu, pphiv, pphif ! latitude outputs [degrees] + INTEGER , INTENT(out) :: kff ! =1 Coriolis parameter computed here, =0 otherwise + REAL(wp), DIMENSION(:,:), INTENT(out) :: pff_f, pff_t ! Coriolis factor at f-point [1/s] + REAL(wp), DIMENSION(:,:), INTENT(out) :: pe1t, pe1u, pe1v, pe1f ! i-scale factors [m] + REAL(wp), DIMENSION(:,:), INTENT(out) :: pe2t, pe2u, pe2v, pe2f ! j-scale factors [m] + INTEGER , INTENT(out) :: ke1e2u_v ! =1 u- & v-surfaces computed here, =0 otherwise + REAL(wp), DIMENSION(:,:), INTENT(out) :: pe1e2u, pe1e2v ! u- & v-surfaces (if reduction in strait) [m2] + ! + INTEGER :: ji, jj ! dummy loop indices + REAL(wp) :: zphi0, zlam0, zbeta, zf0 + REAL(wp) :: zti, zui, ztj, zvj ! local scalars + !!------------------------------------------------------------------------------- + ! + IF(lwp) WRITE(numout,*) + IF(lwp) WRITE(numout,*) 'usr_def_hgr : ICE_RHEO configuration bassin' + IF(lwp) WRITE(numout,*) + IF(lwp) WRITE(numout,*) ' f-plane with regular gridcell size' + + ! ========== + zlam0 = -(jpiglo-1)/2 * 1.e-3 * rn_dx + zphi0 = -(jpjglo-1)/2 * 1.e-3 * rn_dy + + + DO_2D( 1, 1, 1, 1 ) + zti = FLOAT( ji - 1 + nimpp - 1 ) ; ztj = FLOAT( jj - 1 + njmpp - 1 ) + zui = FLOAT( ji - 1 + nimpp - 1 ) + 0.5_wp ; zvj = FLOAT( jj - 1 + njmpp - 1 ) + 0.5_wp + + plamt(ji,jj) = zlam0 + rn_dx * 1.e-3 * zti + plamu(ji,jj) = zlam0 + rn_dx * 1.e-3 * zui + plamv(ji,jj) = plamt(ji,jj) + plamf(ji,jj) = plamu(ji,jj) + + pphit(ji,jj) = zphi0 + rn_dy * 1.e-3 * ztj + pphiv(ji,jj) = zphi0 + rn_dy * 1.e-3 * zvj + pphiu(ji,jj) = pphit(ji,jj) + pphif(ji,jj) = pphiv(ji,jj) + END_2D + + ! Horizontal scale factors (in meters) + ! ====== +!! ==> EITHER 1) variable scale factors +!! clem: This can be used with a 1proc simulation but I think it breaks repro when >1procs are used +!! DO_2D( 1, 1, 1, 1 ) +!! !!pe1t(ji,jj) = rn_dx * EXP( -0.8/REAL(jpiglo**2) * (mi0(ji)-REAL(jpiglo+1)*0.5)**2 ) ! gaussian shape +!! !!pe2t(ji,jj) = rn_dy * EXP( -0.8/REAL(jpjglo**2) * (mj0(jj)-REAL(jpjglo+1)*0.5)**2 ) ! gaussian shape +!! pe1t(ji,jj) = rn_dx * ( 1. -0.1 * ABS(REAL(mi0(ji))-REAL(jpiglo+1)*0.5) / (1.-REAL(jpiglo+1)*0.5) ) ! linear shape +!! pe2t(ji,jj) = rn_dy * ( 1. -0.1 * ABS(REAL(mj0(jj))-REAL(jpjglo+1)*0.5) / (1.-REAL(jpjglo+1)*0.5) ) ! linear shape +!! END_2D +!!#if defined key_agrif +!! IF( .NOT. Agrif_Root() ) THEN ! only works if the zoom is positioned at the center of the parent grid +!! DO_2D( 1, 1, 1, 1 ) +!! pe1t(ji,jj) = rn_dx * ( 1. -0.1 * ABS(REAL(mi0(ji))-REAL(jpiglo+1)*0.5) / (1.-REAL(jpiglo+1)*0.5) & +!! & * REAL(jpiglo) / REAL(Agrif_Parent(jpiglo) * Agrif_Rhox()) ) ! factor to match parent grid +!! pe2t(ji,jj) = rn_dy * ( 1. -0.1 * ABS(REAL(mj0(jj))-REAL(jpjglo+1)*0.5) / (1.-REAL(jpjglo+1)*0.5) & +!! & * REAL(jpjglo) / REAL(Agrif_Parent(jpjglo) * Agrif_Rhoy()) ) ! factor to match parent grid +!! END_2D +!! ENDIF +!!#endif +!! ==> OR 2) constant scale factors + pe1t(:,:) = rn_dx + pe2t(:,:) = rn_dy +!! ==> END + + pe1u(:,:) = pe1t(:,:) ; pe2u(:,:) = pe2t(:,:) + pe1v(:,:) = pe1t(:,:) ; pe2v(:,:) = pe2t(:,:) + pe1f(:,:) = pe1t(:,:) ; pe2f(:,:) = pe2t(:,:) + + ! ! NO reduction of grid size in some straits + ke1e2u_v = 0 ! ==>> u_ & v_surfaces will be computed in dom_ghr routine + pe1e2u(:,:) = 0._wp ! CAUTION: set to zero to avoid error with some compilers that + pe1e2v(:,:) = 0._wp ! require an initialization of INTENT(out) arguments + ! + ! + ! !== Coriolis parameter ==! + kff = 1 ! indicate not to compute Coriolis parameter afterward + ! + IF( ln_corio ) THEN + zbeta = 2._wp * omega * COS( rad * rn_ppgphi0 ) / ra + zf0 = 2._wp * omega * SIN( rad * rn_ppgphi0 ) + pff_f(:,:) = zf0 + zbeta * pphif(:,:) * 1.e+3 + pff_t(:,:) = zf0 + zbeta * pphit(:,:) * 1.e+3 + ELSE + pff_f(:,:) = 0. + pff_t(:,:) = 0. + ENDIF + ! + END SUBROUTINE usr_def_hgr + + !!====================================================================== +END MODULE usrdef_hgr diff --git a/ICE_RHEO/MY_SRC/usrdef_nam.F90 b/ICE_RHEO/MY_SRC/usrdef_nam.F90 new file mode 100644 index 0000000..0f92fbe --- /dev/null +++ b/ICE_RHEO/MY_SRC/usrdef_nam.F90 @@ -0,0 +1,109 @@ +MODULE usrdef_nam + !!====================================================================== + !! *** MODULE usrdef_nam *** + !! + !! === ICE_RHEO configuration === + !! + !! User defined : set the domain characteristics of a user configuration + !!====================================================================== + !! History : NEMO ! 2016-03 (S. Flavoni, G. Madec) Original code + !!---------------------------------------------------------------------- + + !!---------------------------------------------------------------------- + !! usr_def_nam : read user defined namelist and set global domain size + !! usr_def_hgr : initialize the horizontal mesh + !!---------------------------------------------------------------------- + USE dom_oce , ONLY: nimpp , njmpp , Agrif_Root ! i- & j-indices of the local domain + USE par_oce ! ocean space and time domain + USE phycst ! physical constants + ! + USE in_out_manager ! I/O manager + USE lib_mpp ! MPP library + USE timing ! Timing + + IMPLICIT NONE + PRIVATE + + PUBLIC usr_def_nam ! called by nemogcm.F90 + + ! !!* namusr_def namelist *!! + REAL(wp), PUBLIC :: rn_dx ! resolution in meters defining the horizontal domain size + REAL(wp), PUBLIC :: rn_dy ! resolution in meters defining the horizontal domain size + REAL(wp), PUBLIC :: rn_ppgphi0 ! reference latitude for beta-plane + LOGICAL , PUBLIC :: ln_corio ! set coriolis at 0 (ln_corio=F) or not + + !!---------------------------------------------------------------------- + !! NEMO/OCE 4.0 , NEMO Consortium (2018) + !! $Id: usrdef_nam.F90 10161 2018-10-01 09:48:55Z clem $ + !! Software governed by the CeCILL license (see ./LICENSE) + !!---------------------------------------------------------------------- +CONTAINS + + SUBROUTINE usr_def_nam( cd_cfg, kk_cfg, kpi, kpj, kpk, ldIperio, ldJperio, ldNFold, cdNFtype ) + !!---------------------------------------------------------------------- + !! *** ROUTINE dom_nam *** + !! + !! ** Purpose : read user defined namelist and define the domain size + !! + !! ** Method : read in namusr_def containing all the user specific namelist parameter + !! + !! Here ICE_RHEO configuration + !! + !! ** input : - namusr_def namelist found in namelist_cfg + !!---------------------------------------------------------------------- + CHARACTER(len=*), INTENT(out) :: cd_cfg ! configuration name + INTEGER , INTENT(out) :: kk_cfg ! configuration resolution + INTEGER , INTENT(out) :: kpi, kpj, kpk ! global domain sizes + LOGICAL , INTENT(out) :: ldIperio, ldJperio ! i- and j- periodicity + LOGICAL , INTENT(out) :: ldNFold ! North pole folding + CHARACTER(len=1), INTENT(out) :: cdNFtype ! Folding type: T or F + ! + INTEGER :: ios ! Local integer + REAL(wp):: zlx, zly ! Local scalars + !! + NAMELIST/namusr_def/ rn_dx, rn_dy, ln_corio, rn_ppgphi0 + !!---------------------------------------------------------------------- + ! + READ ( numnam_cfg, namusr_def, IOSTAT = ios, ERR = 902 ) +902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namusr_def in configuration namelist' ) + ! + IF(lwm) WRITE( numond, namusr_def ) + ! + cd_cfg = 'ICE_RHEO' ! name & resolution (not used) + kk_cfg = NINT( rn_dx ) + ! + ! Global Domain size: domain is 2000 km x 2000 Km x 10 m + kpi = NINT( 2000.e3 / rn_dx ) + kpj = NINT( 2000.e3 / rn_dy ) + kpk = 1 + ! +!! zlx = (kpi-2)*rn_dx*1.e-3 +!! zly = (kpj-2)*rn_dy*1.e-3 + zlx = kpi*rn_dx*1.e-3 + zly = kpj*rn_dy*1.e-3 + ! + ldIperio = .FALSE. ; ldJperio = .FALSE. ! ICE_RHEO configuration : closed domain + ldNFold = .FALSE. ; cdNFtype = '-' + ! + ! ! control print + IF(lwp) THEN + WRITE(numout,*) ' ' + WRITE(numout,*) 'usr_def_nam : read the user defined namelist (namusr_def) in namelist_cfg' + WRITE(numout,*) '~~~~~~~~~~~ ' + WRITE(numout,*) ' Namelist namusr_def : ICE_RHEO test case' + WRITE(numout,*) ' horizontal resolution rn_dx = ', rn_dx, ' meters' + WRITE(numout,*) ' horizontal resolution rn_dy = ', rn_dy, ' meters' + WRITE(numout,*) ' ICE_RHEO domain = 2000 km x 2000 km' + WRITE(numout,*) ' LX [km]: ', zlx + WRITE(numout,*) ' LY [km]: ', zly + WRITE(numout,*) ' resulting global domain size : jpiglo = ', kpi + WRITE(numout,*) ' jpjglo = ', kpj + WRITE(numout,*) ' jpkglo = ', kpk + WRITE(numout,*) ' Coriolis:', ln_corio + WRITE(numout,*) ' ' + ENDIF + ! + END SUBROUTINE usr_def_nam + + !!====================================================================== +END MODULE usrdef_nam diff --git a/ICE_RHEO/MY_SRC/usrdef_sbc.F90 b/ICE_RHEO/MY_SRC/usrdef_sbc.F90 new file mode 100644 index 0000000..8d5fe4e --- /dev/null +++ b/ICE_RHEO/MY_SRC/usrdef_sbc.F90 @@ -0,0 +1,222 @@ +MODULE usrdef_sbc + !!====================================================================== + !! *** MODULE usrdef_sbc *** + !! + !! === ICE_RHEO configuration === + !! + !! User defined : surface forcing of a user configuration + !!====================================================================== + !! History : 4.0 ! 2016-03 (S. Flavoni, G. Madec) user defined interface + !!---------------------------------------------------------------------- + + !!---------------------------------------------------------------------- + !! usr_def_sbc : user defined surface bounday conditions in ICE_RHEO case + !!---------------------------------------------------------------------- + USE oce ! ocean dynamics and tracers + USE dom_oce ! ocean space and time domain + USE sbc_oce ! Surface boundary condition: ocean fields + USE sbc_ice ! Surface boundary condition: ice fields + USE phycst ! physical constants + USE ice, ONLY : at_i_b, a_i_b, at_i, u_ice, v_ice + USE icethd_dh ! for CALL ice_thd_snwblow + USE sbc_phy, ONLY : pp_cldf + ! + USE in_out_manager ! I/O manager + USE lib_mpp ! distribued memory computing library + USE lbclnk ! ocean lateral boundary conditions (or mpp link) + USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) + + IMPLICIT NONE + PRIVATE + + PUBLIC usrdef_sbc_oce ! routine called by sbcmod.F90 for sbc ocean + PUBLIC usrdef_sbc_ice_tau ! routine called by icestp.F90 for ice dynamics + PUBLIC usrdef_sbc_ice_flx ! routine called by icestp.F90 for ice thermo + + !! * Substitutions +# include "do_loop_substitute.h90" + !!---------------------------------------------------------------------- + !! NEMO/OCE 4.0 , NEMO Consortium (2018) + !! $Id: usrdef_sbc.F90 10074 2018-08-28 16:15:49Z nicolasmartin $ + !! Software governed by the CeCILL license (see ./LICENSE) + !!---------------------------------------------------------------------- +CONTAINS + + SUBROUTINE usrdef_sbc_oce( kt, Kbb ) + !!--------------------------------------------------------------------- + !! *** ROUTINE usr_def_sbc *** + !! + !! ** Purpose : provide at each time-step the surface boundary + !! condition, i.e. the momentum, heat and freshwater fluxes. + !! + !! ** Method : all 0 fields, for ICE_RHEO case + !! CAUTION : never mask the surface stress field ! + !! + !! ** Action : - set to ZERO all the ocean surface boundary condition, i.e. + !! utau, vtau, taum, wndm, qns, qsr, emp, sfx + !! + !!---------------------------------------------------------------------- + INTEGER, INTENT(in) :: kt ! ocean time step + INTEGER, INTENT(in) :: Kbb ! ocean time index + INTEGER :: ij0, ij1, ii0, ii1, jj, ji ! loop indices + REAL(wp) :: zrhoco ! ocean density and drag coefficient product + !!--------------------------------------------------------------------- + ! + IF( kt == nit000 ) THEN + ! + !IF(lwp) WRITE(numout,*)' usrdef_sbc_oce : ICE_RHEO case: ocean boudary conditions' + + utau(:,:) = 0._wp + utau(:,:) = 0._wp + + !ij0 = 1 ; ij1 = 25 ! set boundary condition + !ii0 = 975 ; ii1 = 1000 + !DO jj = mj0(ij0), mj1(ij1) + ! DO ji = mi0(ii0), mi1(ii1) + ! utau(ji,jj) = -utau_ice(ji,jj) + ! vtau(ji,jj) = -vtau_ice(ji,jj) + ! END DO + !END DO + + taum(:,:) = 0._wp ! assume these are not used + wndm(:,:) = 0._wp + ! + emp (:,:) = 0._wp + sfx (:,:) = 0._wp + qns (:,:) = 0._wp + qsr (:,:) = 0._wp + ! + utau_b(:,:) = 0._wp + vtau_b(:,:) = 0._wp + emp_b (:,:) = 0._wp + sfx_b (:,:) = 0._wp + qns_b (:,:) = 0._wp + ! + ENDIF + ! + END SUBROUTINE usrdef_sbc_oce + + SUBROUTINE usrdef_sbc_ice_tau( kt ) + !!--------------------------------------------------------------------- + !! *** ROUTINE usrdef_sbc_ice_tau *** + !! + !! ** Purpose : provide the surface boundary (momentum) condition over + !sea-ice + !!--------------------------------------------------------------------- + INTEGER, INTENT(in) :: kt ! ocean time step + INTEGER :: jj, ji ! loop indices + + REAL(wp) :: zwndi_f , zwndj_f, zwnorm_f ! relative wind module and components at F-point + REAL(wp) :: zwndi_t , zwndj_t ! relative wind components at T-point + REAL(wp), DIMENSION(jpi,jpj) :: windu, windv ! wind components (idealised forcing) + REAL(wp), PARAMETER :: r_vfac = 1._wp ! relative velocity (make 0 for absolute velocity) + REAL(wp), PARAMETER :: Rwind = -0.8_wp ! ratio of wind components + REAL(wp), PARAMETER :: Umax = 15._wp ! maximum wind speed (m/s) + REAL(wp), PARAMETER :: d = 2000._wp ! size of the domain (km) + REAL(wp), PARAMETER :: res = 2._wp ! gridcell size + REAL(wp), PARAMETER :: zrhoa = 1.22 ! Air density kg/m3 + REAL(wp), PARAMETER :: Cd_atm = 1.4e-3 ! transfer coefficient over ice + !!--------------------------------------------------------------------- + ! extra code for test case + IF( kt==nit000 .AND. lwp) WRITE(numout,*)' usrdef_sbc_ice : ICE_RHEO case: analytical stress forcing' + + DO_2D( 0, 0, 0, 0 ) + ! wind spins up over 6 hours, factor 1000 to balance the units + windu(ji,jj) = Umax/sqrt(d*1000)*(d-2*mig(ji)*res)/((d-2*mig(ji)*res)**2+(d-2*mjg(jj)*res)**2*Rwind**2)**(1/4)*min(kt*30./21600,1.) + windv(ji,jj) = Umax/sqrt(d*1000)*(d-2*mjg(jj)*res)/((d-2*mig(ji)*res)**2+(d-2*mjg(jj)*res)**2*Rwind**2)**(1/4)*Rwind*min(kt*30./21600,1.) + END_2D + CALL lbc_lnk( 'usrdef_sbc', windu, 'U', -1., windv, 'V', -1. ) + + wndm_ice(:,:) = 0._wp !!gm brutal.... + + ! ------------------------------------------------------------ ! + ! Wind module relative to the moving ice ( U10m - U_ice ) ! + ! ------------------------------------------------------------ ! + ! C-grid ice dynamics : U & V-points (same as ocean) + DO_2D( 0, 0, 0, 0 ) + zwndi_t = ( windu(ji,jj) - r_vfac * 0.5 * ( u_ice(ji-1,jj ) + u_ice(ji,jj) ) ) + zwndj_t = ( windv(ji,jj) - r_vfac * 0.5 * ( v_ice(ji,jj-1) + v_ice(ji,jj) ) ) + wndm_ice(ji,jj) = SQRT( zwndi_t * zwndi_t + zwndj_t * zwndj_t ) * tmask(ji,jj,1) + END_2D + CALL lbc_lnk( 'usrdef_sbc', wndm_ice, 'T', 1. ) + + !!gm brutal.... + utau_ice (:,:) = 0._wp + vtau_ice (:,:) = 0._wp + !!gm end + + ! ------------------------------------------------------------ ! + ! Wind stress relative to the moving ice ( U10m - U_ice ) ! + ! ------------------------------------------------------------ ! + ! C-grid ice dynamics : U & V-points (same as ocean) + DO_2D( 0, 0, 0, 0 ) + utau_ice(ji,jj) = 0.5 * zrhoa * Cd_atm * ( wndm_ice(ji+1,jj ) + wndm_ice(ji,jj) ) & + & * ( 0.5 * (windu(ji+1,jj) + windu(ji,jj) ) - r_vfac * u_ice(ji,jj) ) + vtau_ice(ji,jj) = 0.5 * zrhoa * Cd_atm * ( wndm_ice(ji,jj+1 ) + wndm_ice(ji,jj) ) & + & * ( 0.5 * (windv(ji,jj+1) + windv(ji,jj) ) - r_vfac * v_ice(ji,jj) ) + END_2D + CALL lbc_lnk( 'usrdef_sbc', utau_ice, 'U', -1., vtau_ice, 'V', -1. ) + ! + END SUBROUTINE usrdef_sbc_ice_tau + + SUBROUTINE usrdef_sbc_ice_flx( kt, phs, phi ) + !!--------------------------------------------------------------------- + !! *** ROUTINE usrdef_sbc_ice_flx *** + !! + !! ** Purpose : provide the surface boundary (flux) condition over sea-ice + !!--------------------------------------------------------------------- + INTEGER, INTENT(in) :: kt ! ocean time step + REAL(wp), DIMENSION(:,:,:), INTENT(in) :: phs ! snow thickness + REAL(wp), DIMENSION(:,:,:), INTENT(in) :: phi ! ice thickness + !! + REAL(wp) :: zfr1, zfr2 ! local variables + REAL(wp), DIMENSION(jpi,jpj) :: zsnw ! snw distribution after wind blowing + !!--------------------------------------------------------------------- + ! + IF( kt==nit000 .AND. lwp) WRITE(numout,*)' usrdef_sbc_ice : ICE_RHEO case: NO flux forcing' + ! + ! ocean variables (renaming) + emp_oce (:,:) = 0._wp ! uniform value for freshwater budget (E-P) + qsr_oce (:,:) = 0._wp ! uniform value for solar radiation + qns_oce (:,:) = 0._wp ! uniform value for non-solar heat flux + + ! ice variables + alb_ice (:,:,:) = 0.7_wp ! useless + qsr_ice (:,:,:) = 0._wp ! uniform value for solar radiation + qns_ice (:,:,:) = 0._wp ! uniform value for non-solar heat flux + dqns_ice(:,:,:) = 0._wp ! uniform value for non solar heat flux sensitivity for ice + sprecip (:,:) = 0._wp ! uniform value for snow precip + evap_ice(:,:,:) = 0._wp ! uniform value for sublimation + + ! ice fields deduced from above + zsnw(:,:) = 1._wp + !!CALL lim_thd_snwblow( at_i_b, zsnw ) ! snow distribution over ice after wind blowing + emp_ice (:,:) = SUM( a_i_b(:,:,:) * evap_ice(:,:,:), dim=3 ) - sprecip(:,:) * zsnw(:,:) + emp_oce (:,:) = emp_oce(:,:) - sprecip(:,:) * (1._wp - zsnw(:,:) ) + qevap_ice(:,:,:) = 0._wp + qprec_ice(:,:) = rhos * ( sst_m(:,:) * rcpi - rLfus ) * tmask(:,:,1) ! in J/m3 + qemp_oce (:,:) = - emp_oce(:,:) * sst_m(:,:) * rcp + qemp_ice (:,:) = sprecip(:,:) * zsnw * ( sst_m(:,:) * rcpi - rLfus ) * tmask(:,:,1) ! solid precip (only) + + ! total fluxes + emp_tot (:,:) = emp_ice + emp_oce + qns_tot (:,:) = at_i_b(:,:) * qns_oce(:,:) + SUM( a_i_b(:,:,:) * qns_ice(:,:,:), dim=3 ) + qemp_ice(:,:) + qemp_oce(:,:) + qsr_tot (:,:) = at_i_b(:,:) * qsr_oce(:,:) + SUM( a_i_b(:,:,:) * qsr_ice(:,:,:), dim=3 ) + + ! --- shortwave radiation transmitted below the surface (W/m2, see Grenfell Maykut 77) --- ! + zfr1 = ( 0.18 * ( 1.0 - pp_cldf ) + 0.35 * pp_cldf ) ! transmission when hi>10cm + zfr2 = ( 0.82 * ( 1.0 - pp_cldf ) + 0.65 * pp_cldf ) ! zfr2 such that zfr1 + zfr2 to equal 1 + ! + WHERE ( phs(:,:,:) <= 0._wp .AND. phi(:,:,:) < 0.1_wp ) ! linear decrease from hi=0 to 10cm + qtr_ice_top(:,:,:) = qsr_ice(:,:,:) * ( zfr1 + zfr2 * ( 1._wp - phi(:,:,:) * 10._wp ) ) + ELSEWHERE( phs(:,:,:) <= 0._wp .AND. phi(:,:,:) >= 0.1_wp ) ! constant (zfr1) when hi>10cm + qtr_ice_top(:,:,:) = qsr_ice(:,:,:) * zfr1 + ELSEWHERE ! zero when hs>0 + qtr_ice_top(:,:,:) = 0._wp + END WHERE + + END SUBROUTINE usrdef_sbc_ice_flx + + + !!====================================================================== +END MODULE usrdef_sbc diff --git a/ICE_RHEO/MY_SRC/usrdef_zgr.F90 b/ICE_RHEO/MY_SRC/usrdef_zgr.F90 new file mode 100644 index 0000000..096e524 --- /dev/null +++ b/ICE_RHEO/MY_SRC/usrdef_zgr.F90 @@ -0,0 +1,109 @@ +MODULE usrdef_zgr + !!====================================================================== + !! *** MODULE usrdef_zgr *** + !! + !! === ICE_RHEO case === + !! + !! Ocean domain : user defined vertical coordinate system + !!====================================================================== + !! History : 4.0 ! 2016-08 (G. Madec, S. Flavoni) Original code + !!---------------------------------------------------------------------- + + !!---------------------------------------------------------------------- + !! usr_def_zgr : user defined vertical coordinate system (required) + !!--------------------------------------------------------------------- + USE oce ! ocean variables + USE usrdef_nam ! User defined : namelist variables + ! + USE in_out_manager ! I/O manager + USE lbclnk ! ocean lateral boundary conditions (or mpp link) + USE lib_mpp ! distributed memory computing library + + IMPLICIT NONE + PRIVATE + + PUBLIC usr_def_zgr ! called by domzgr.F90 + + !!---------------------------------------------------------------------- + !! NEMO/OCE 4.0 , NEMO Consortium (2018) + !! $Id: usrdef_zgr.F90 10074 2018-08-28 16:15:49Z nicolasmartin $ + !! Software governed by the CeCILL license (see ./LICENSE) + !!---------------------------------------------------------------------- +CONTAINS + + SUBROUTINE usr_def_zgr( ld_zco , ld_zps , ld_sco , ld_isfcav, & ! type of vertical coordinate + & pdept_1d, pdepw_1d, pe3t_1d , pe3w_1d , & ! 1D reference vertical coordinate + & pdept , pdepw , & ! 3D t & w-points depth + & pe3t , pe3u , pe3v , pe3f , & ! vertical scale factors + & pe3w , pe3uw , pe3vw, & ! - - - + & k_top , k_bot ) ! top & bottom ocean level + !!--------------------------------------------------------------------- + !! *** ROUTINE usr_def_zgr *** + !! + !! ** Purpose : User defined the vertical coordinates + !! + !!---------------------------------------------------------------------- + LOGICAL , INTENT(out) :: ld_zco, ld_zps, ld_sco ! vertical coordinate flags + LOGICAL , INTENT(out) :: ld_isfcav ! under iceshelf cavity flag + REAL(wp), DIMENSION(:) , INTENT(out) :: pdept_1d, pdepw_1d ! 1D grid-point depth [m] + REAL(wp), DIMENSION(:) , INTENT(out) :: pe3t_1d , pe3w_1d ! 1D grid-point depth [m] + REAL(wp), DIMENSION(:,:,:), INTENT(out) :: pdept, pdepw ! grid-point depth [m] + REAL(wp), DIMENSION(:,:,:), INTENT(out) :: pe3t , pe3u , pe3v , pe3f ! vertical scale factors [m] + REAL(wp), DIMENSION(:,:,:), INTENT(out) :: pe3w , pe3uw, pe3vw ! i-scale factors + INTEGER , DIMENSION(:,:) , INTENT(out) :: k_top, k_bot ! first & last ocean level + ! + INTEGER :: jk, k_dz ! dummy indices + !!---------------------------------------------------------------------- + ! + IF(lwp) WRITE(numout,*) + IF(lwp) WRITE(numout,*) 'usr_def_zgr : ICE_RHEO configuration ' + IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ (slab ocean - ice cover in square box domain)' + ! + ! + ! type of vertical coordinate ==>>> here ICE_RHEO : slab ocean always + ! --------------------------- + ld_zco = .TRUE. ! z-full-step coordinate + ld_zps = .FALSE. ! z-partial-step coordinate + ld_sco = .FALSE. ! s-coordinate + ld_isfcav = .FALSE. ! ISF Ice Shelves Flag + ! + ! + ! Build the vertical coordinate system + ! ------------------------------------ + ! + ! !== UNmasked meter bathymetry ==! + ! + ! + k_dz = 1 + DO jk = 1, jpk + pdepw_1d(jk) = k_dz + pdept_1d(jk) = k_dz + pe3w_1d (jk) = k_dz + pe3t_1d (jk) = k_dz + END DO + ! !== top masked level bathymetry ==! (all coordinates) + ! + ! no ocean cavities : top ocean level is ONE, except over land + k_top(:,:) = 1 + ! + ! !== z-coordinate ==! (step-like topography) + ! !* bottom ocean compute from the depth of grid-points + jpkm1 = jpk + k_bot(:,:) = 1 ! here use k_top as a land mask + ! !* horizontally uniform coordinate (reference z-co everywhere) + DO jk = 1, jpk + pdept(:,:,jk) = pdept_1d(jk) + pdepw(:,:,jk) = pdepw_1d(jk) + pe3t (:,:,jk) = pe3t_1d (jk) + pe3u (:,:,jk) = pe3t_1d (jk) + pe3v (:,:,jk) = pe3t_1d (jk) + pe3f (:,:,jk) = pe3t_1d (jk) + pe3w (:,:,jk) = pe3w_1d (jk) + pe3uw(:,:,jk) = pe3w_1d (jk) + pe3vw(:,:,jk) = pe3w_1d (jk) + END DO + ! + END SUBROUTINE usr_def_zgr + + !!====================================================================== +END MODULE usrdef_zgr diff --git a/ICE_RHEO/cpp_ICE_RHEO.fcm b/ICE_RHEO/cpp_ICE_RHEO.fcm new file mode 100644 index 0000000..47e40c8 --- /dev/null +++ b/ICE_RHEO/cpp_ICE_RHEO.fcm @@ -0,0 +1 @@ +bld::tool::fppkeys key_si3 key_linssh key_xios From 8d8bdc079e814beb5c8483bb0cd9e7991d1fc3ae Mon Sep 17 00:00:00 2001 From: stefryn <43548055+stefryn@users.noreply.github.com> Date: Tue, 15 Feb 2022 13:55:25 +0000 Subject: [PATCH 2/3] Add files via upload add island, update EVP code with the main, update EAP code with diagnostics fix and masks from Ed and Clem --- ICE_RHEO/MY_SRC/icedyn_rhg_eap.F90 | 199 +++++------ ICE_RHEO/MY_SRC/icedyn_rhg_evp.F90 | 550 +++++++++++++++++------------ ICE_RHEO/MY_SRC/usrdef_zgr.F90 | 12 + 3 files changed, 421 insertions(+), 340 deletions(-) diff --git a/ICE_RHEO/MY_SRC/icedyn_rhg_eap.F90 b/ICE_RHEO/MY_SRC/icedyn_rhg_eap.F90 index 115b6ff..da650a5 100644 --- a/ICE_RHEO/MY_SRC/icedyn_rhg_eap.F90 +++ b/ICE_RHEO/MY_SRC/icedyn_rhg_eap.F90 @@ -57,16 +57,15 @@ MODULE icedyn_rhg_eap INTEGER, PARAMETER :: na_yield = 21 REAL(wp), DIMENSION(nx_yield, ny_yield, na_yield) :: s11r, s12r, s22r, s11s, s12s, s22s - - !! * Substitutions -# include "do_loop_substitute.h90" -# include "domzgr_substitute.h90" + REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fimask ! mask at F points for the ice !! for convergence tests INTEGER :: ncvgid ! netcdf file id INTEGER :: nvarid ! netcdf variable id - REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: aimsk00 - REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: eap_res , aimsk15 + + !! * Substitutions +# include "do_loop_substitute.h90" +# include "domzgr_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/ICE 4.0 , NEMO Consortium (2018) !! $Id: icedyn_rhg_eap.F90 11536 2019-09-11 13:54:18Z smasson $ @@ -154,7 +153,6 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear REAL(wp) :: zalphar, zalphas ! for mechanical redistribution REAL(wp) :: zmresult11, zmresult12, z1dtevpkth, zp5kth, z1_dtevp_A ! for structure tensor evolution REAL(wp) :: zinvw ! for test case - ! REAL(wp), DIMENSION(jpi,jpj) :: zstress12tmp ! anisotropic stress tensor component for regridding REAL(wp), DIMENSION(jpi,jpj) :: zyield11, zyield22, zyield12 ! yield surface tensor for history @@ -181,9 +179,9 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear REAL(wp), DIMENSION(jpi,jpj) :: ztaux_bi, ztauy_bi ! ice-OceanBottom stress at U-V points (landfast) REAL(wp), DIMENSION(jpi,jpj) :: ztaux_base, ztauy_base ! ice-bottom stress at U-V points (landfast) ! + REAL(wp), DIMENSION(jpi,jpj) :: zmsk, zmsk00, zmsk15 REAL(wp), DIMENSION(jpi,jpj) :: zmsk01x, zmsk01y ! dummy arrays REAL(wp), DIMENSION(jpi,jpj) :: zmsk00x, zmsk00y ! mask for ice presence - REAL(wp), DIMENSION(jpi,jpj) :: zfmask ! mask at F points for the ice REAL(wp), PARAMETER :: zepsi = 1.0e-20_wp ! tolerance parameter REAL(wp), PARAMETER :: zmmin = 1._wp ! ice mass (kg/m2) below which ice velocity becomes very small @@ -204,63 +202,45 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_rhg_eap: EAP sea-ice rheology' ! - IF( kt == nit000 ) THEN - ! - ! for diagnostics - ALLOCATE( aimsk00(jpi,jpj) ) - ! for convergence tests - IF( nn_rhg_chkcvg > 0 ) ALLOCATE( eap_res(jpi,jpj), aimsk15(jpi,jpj) ) - ENDIF - ! + ! for diagnostics and convergence tests DO_2D( 1, 1, 1, 1 ) - aimsk00(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi06 ) ) ! 1 if ice , 0 if no ice + zmsk00(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi06 ) ) ! 1 if ice , 0 if no ice + zmsk (ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi10 ) ) ! 1 if ice , 0 if no ice END_2D IF( nn_rhg_chkcvg > 0 ) THEN DO_2D( 1, 1, 1, 1 ) - aimsk15(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - 0.15_wp ) ) ! 1 if 15% ice, 0 if less + zmsk15(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - 0.15_wp ) ) ! 1 if 15% ice, 0 if less END_2D ENDIF ! -!!gm for Clem: OPTIMIZATION: I think zfmask can be computed one for all at the initialization.... !------------------------------------------------------------------------------! ! 0) mask at F points for the ice !------------------------------------------------------------------------------! - ! ocean/land mask - DO_2D( 1, 0, 1, 0 ) - zfmask(ji,jj) = tmask(ji,jj,1) * tmask(ji+1,jj,1) * tmask(ji,jj+1,1) * tmask(ji+1,jj+1,1) - END_2D - CALL lbc_lnk( 'icedyn_rhg_eap', zfmask, 'F', 1._wp ) - - ! Lateral boundary conditions on velocity (modify zfmask) - DO_2D( 0, 0, 0, 0 ) - IF( zfmask(ji,jj) == 0._wp ) THEN - zfmask(ji,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(ji,jj,1), umask(ji,jj+1,1), & - & vmask(ji,jj,1), vmask(ji+1,jj,1) ) ) - ENDIF - END_2D - DO jj = 2, jpjm1 - IF( zfmask(1,jj) == 0._wp ) THEN - zfmask(1 ,jj) = rn_ishlat * MIN( 1._wp , MAX( vmask(2,jj,1), umask(1,jj+1,1), umask(1,jj,1) ) ) - ENDIF - IF( zfmask(jpi,jj) == 0._wp ) THEN - zfmask(jpi,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(jpi,jj+1,1), vmask(jpim1,jj,1), umask(jpi,jj-1,1) ) ) - ENDIF - END DO - DO ji = 2, jpim1 - IF( zfmask(ji,1) == 0._wp ) THEN - zfmask(ji, 1 ) = rn_ishlat * MIN( 1._wp , MAX( vmask(ji+1,1,1), umask(ji,2,1), vmask(ji,1,1) ) ) - ENDIF - IF( zfmask(ji,jpj) == 0._wp ) THEN - zfmask(ji,jpj) = rn_ishlat * MIN( 1._wp , MAX( vmask(ji+1,jpj,1), vmask(ji-1,jpj,1), umask(ji,jpjm1,1) ) ) + IF( kt == nit000 ) THEN + ! ocean/land mask + ALLOCATE( fimask(jpi,jpj) ) + IF( rn_ishlat == 0._wp ) THEN + DO_2D( 0, 0, 0, 0 ) + fimask(ji,jj) = tmask(ji,jj,1) * tmask(ji+1,jj,1) * tmask(ji,jj+1,1) * tmask(ji+1,jj+1,1) + END_2D + ELSE + DO_2D( 0, 0, 0, 0 ) + fimask(ji,jj) = tmask(ji,jj,1) * tmask(ji+1,jj,1) * tmask(ji,jj+1,1) * tmask(ji+1,jj+1,1) + ! Lateral boundary conditions on velocity (modify fimask) + IF( fimask(ji,jj) == 0._wp ) THEN + fimask(ji,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(ji,jj,1), umask(ji,jj+1,1), & + & vmask(ji,jj,1), vmask(ji+1,jj,1) ) ) + ENDIF + END_2D ENDIF - END DO - CALL lbc_lnk( 'icedyn_rhg_eap', zfmask, 'F', 1.0_wp ) + CALL lbc_lnk( 'icedyn_rhg_eap', fimask, 'F', 1.0_wp ) + ENDIF !------------------------------------------------------------------------------! ! 1) define some variables and initialize arrays !------------------------------------------------------------------------------! zrhoco = rho0 * rn_cio -!extra code for test case boundary conditions + !extra code for test case boundary conditions zinvw=1._wp/(zrhoco*0.5_wp) ! ecc2: square of yield ellipse eccenticrity @@ -404,7 +384,7 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ! shear at F points zds(ji,jj) = ( ( u_ice(ji,jj+1) * r1_e1u(ji,jj+1) - u_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & & + ( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & - & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) + & ) * r1_e1e2f(ji,jj) * fimask(ji,jj) END_2D @@ -428,7 +408,7 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear zdt2 = zdt * zdt ! delta at T points - zdelta(ji,jj) = SQRT( zdiv2 + ( zdt2 + zds2 ) * z1_ecc2 ) + zdelta(ji,jj) = SQRT( zdiv2 + ( zdt2 + zds2 ) * z1_ecc2 ) * zmsk(ji,jj) ! zmsk is for reducing cpu END_2D CALL lbc_lnk( 'icedyn_rhg_eap', zdelta, 'T', 1.0_wp ) @@ -462,8 +442,8 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ! structure tensor update CALL calc_ffrac(zstressptmp, zstressmtmp, zstress12tmp(ji,jj), paniso_11(ji,jj), paniso_12(ji,jj), zmresult11, zmresult12) - paniso_11(ji,jj) = (paniso_11(ji,jj) + 0.5*2.e-5*zdtevp + zmresult11*zdtevp) / (1. + 2.e-5*zdtevp) ! implicit - paniso_12(ji,jj) = (paniso_12(ji,jj) + zmresult12*zdtevp) / (1. + 2.e-5*zdtevp) ! implicit + paniso_11(ji,jj) = zmsk00(ji,jj) * (paniso_11(ji,jj) + 0.5*2.e-5*zdtevp + zmresult11*zdtevp) / (1. + 2.e-5*zdtevp) ! implicit + paniso_12(ji,jj) = zmsk00(ji,jj) * (paniso_12(ji,jj) + zmresult12*zdtevp) / (1. + 2.e-5*zdtevp) ! implicit IF (jter == nn_nevp) THEN zyield11(ji,jj) = 0.5_wp * (zstressptmp + zstressmtmp) @@ -488,8 +468,8 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ENDIF ! stress at T points (zkt/=0 if landfast) - zs1(ji,jj) = ( zs1(ji,jj) * zalph1 + zstressptmp ) * z1_alph1 - zs2(ji,jj) = ( zs2(ji,jj) * zalph1 + zstressmtmp ) * z1_alph1 + zs1(ji,jj) = ( zs1(ji,jj) * zalph1 + zstressptmp ) * z1_alph1 * zmsk(ji,jj) ! zmsk is for reducing cpu + zs2(ji,jj) = ( zs2(ji,jj) * zalph1 + zstressmtmp ) * z1_alph1 * zmsk(ji,jj) ! zmsk is for reducing cpu END_2D CALL lbc_lnk( 'icedyn_rhg_eap', zstress12tmp, 'T', 1.0_wp , paniso_11, 'T', 1.0_wp , paniso_12, 'T', 1.0_wp) @@ -593,11 +573,10 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00y(ji,jj) ENDIF -!extra code for test case boundary conditions + !extra code for test case boundary conditions IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN v_ice(ji,jj) = zinvw*(ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj)) END IF - END_2D CALL lbc_lnk( 'icedyn_rhg_eap', v_ice, 'V', -1.0_wp ) ! @@ -650,11 +629,10 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00x(ji,jj) ENDIF -!extra code for test case boundary conditions + !extra code for test case boundary conditions IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN u_ice(ji,jj) = zinvw*(ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj)) END IF - END_2D CALL lbc_lnk( 'icedyn_rhg_eap', u_ice, 'U', -1.0_wp ) ! @@ -709,7 +687,7 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00x(ji,jj) ENDIF -!extra code for test case boundary conditions + !extra code for test case boundary conditions IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN u_ice(ji,jj) = zinvw*(ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj)) END IF @@ -765,11 +743,11 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00y(ji,jj) ENDIF -!extra code for test case boundary conditions + !extra code for test case boundary conditions IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN v_ice(ji,jj) = zinvw*(ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj)) END IF - END_2D + END_2D CALL lbc_lnk( 'icedyn_rhg_eap', v_ice, 'V', -1.0_wp ) ! #if defined key_agrif @@ -781,7 +759,7 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ENDIF ! convergence test - IF( nn_rhg_chkcvg == 2 ) CALL rhg_cvg_eap( kt, jter, nn_nevp, u_ice, v_ice, zu_ice, zv_ice ) + IF( nn_rhg_chkcvg == 2 ) CALL rhg_cvg_eap( kt, jter, nn_nevp, u_ice, v_ice, zu_ice, zv_ice, zmsk15 ) ! ! ! ==================== ! END DO ! end loop over jter ! @@ -798,7 +776,7 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ! shear at F points zds(ji,jj) = ( ( u_ice(ji,jj+1) * r1_e1u(ji,jj+1) - u_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & & + ( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & - & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) + & ) * r1_e1e2f(ji,jj) * fimask(ji,jj) END_2D @@ -818,15 +796,15 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & ) * 0.25_wp * r1_e1e2t(ji,jj) ! shear at T points - pshear_i(ji,jj) = SQRT( zdt2 + zds2 ) + pshear_i(ji,jj) = SQRT( zdt2 + zds2 ) * zmsk(ji,jj) ! divergence at T points pdivu_i(ji,jj) = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & - & ) * r1_e1e2t(ji,jj) + & ) * r1_e1e2t(ji,jj) * zmsk(ji,jj) ! delta at T points - zfac = SQRT( pdivu_i(ji,jj) * pdivu_i(ji,jj) + ( zdt2 + zds2 ) * z1_ecc2 ) ! delta + zfac = SQRT( pdivu_i(ji,jj) * pdivu_i(ji,jj) + ( zdt2 + zds2 ) * z1_ecc2 ) * zmsk(ji,jj) ! delta rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zfac ) ) ! 0 if delta=0 pdelta_i(ji,jj) = zfac + rn_creepl * rswitch ! delta+creepl @@ -851,19 +829,19 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear CALL lbc_lnk( 'icedyn_rhg_eap', ztaux_oi, 'U', -1.0_wp, ztauy_oi, 'V', -1.0_wp, ztaux_ai, 'U', -1.0_wp, & & ztauy_ai, 'V', -1.0_wp, ztaux_bi, 'U', -1.0_wp, ztauy_bi, 'V', -1.0_wp ) ! - CALL iom_put( 'utau_oi' , ztaux_oi * aimsk00 ) - CALL iom_put( 'vtau_oi' , ztauy_oi * aimsk00 ) - CALL iom_put( 'utau_ai' , ztaux_ai * aimsk00 ) - CALL iom_put( 'vtau_ai' , ztauy_ai * aimsk00 ) - CALL iom_put( 'utau_bi' , ztaux_bi * aimsk00 ) - CALL iom_put( 'vtau_bi' , ztauy_bi * aimsk00 ) + CALL iom_put( 'utau_oi' , ztaux_oi * zmsk00 ) + CALL iom_put( 'vtau_oi' , ztauy_oi * zmsk00 ) + CALL iom_put( 'utau_ai' , ztaux_ai * zmsk00 ) + CALL iom_put( 'vtau_ai' , ztauy_ai * zmsk00 ) + CALL iom_put( 'utau_bi' , ztaux_bi * zmsk00 ) + CALL iom_put( 'vtau_bi' , ztauy_bi * zmsk00 ) ENDIF ! --- divergence, shear and strength --- ! - IF( iom_use('icediv') ) CALL iom_put( 'icediv' , pdivu_i * aimsk00 ) ! divergence - IF( iom_use('iceshe') ) CALL iom_put( 'iceshe' , pshear_i * aimsk00 ) ! shear - IF( iom_use('icedlt') ) CALL iom_put( 'icedlt' , pdelta_i * aimsk00 ) ! delta - IF( iom_use('icestr') ) CALL iom_put( 'icestr' , strength * aimsk00 ) ! strength + IF( iom_use('icediv') ) CALL iom_put( 'icediv' , pdivu_i * zmsk00 ) ! divergence + IF( iom_use('iceshe') ) CALL iom_put( 'iceshe' , pshear_i * zmsk00 ) ! shear + IF( iom_use('icedlt') ) CALL iom_put( 'icedlt' , pdelta_i * zmsk00 ) ! delta + IF( iom_use('icestr') ) CALL iom_put( 'icestr' , strength * zmsk00 ) ! strength ! --- Stress tensor invariants (SIMIP diags) --- ! IF( iom_use('normstr') .OR. iom_use('sheastr') ) THEN @@ -882,14 +860,14 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear zsig12 = zfac * z1_ecc2 * pshear_i(ji,jj) ! Stress invariants (sigma_I, sigma_II, Coon 1974, Feltham 2008) - zsig_I (ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure - zsig_II(ji,jj) = SQRT ( MAX( 0._wp, zsig2 * zsig2 * 0.25_wp + zsig12 ) ) ! 2nd '' '', aka maximum shear stress + zsig_I (ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure + zsig_II(ji,jj) = SQRT ( zsig2 * zsig2 * 0.25_wp + zsig12 * zsig12 ) ! 2nd '' '' , aka maximum shear stress END_2D ! ! Stress tensor invariants (normal and shear stress N/m) - SIMIP diags - definitions following Coon (1974) and Feltham (2008) - IF( iom_use('normstr') ) CALL iom_put( 'normstr', zsig_I (:,:) * aimsk00(:,:) ) ! Normal stress - IF( iom_use('sheastr') ) CALL iom_put( 'sheastr', zsig_II(:,:) * aimsk00(:,:) ) ! Maximum shear stress + IF( iom_use('normstr') ) CALL iom_put( 'normstr', zsig_I (:,:) * zmsk00(:,:) ) ! Normal stress + IF( iom_use('sheastr') ) CALL iom_put( 'sheastr', zsig_II(:,:) * zmsk00(:,:) ) ! Maximum shear stress DEALLOCATE ( zsig_I, zsig_II ) @@ -914,8 +892,8 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear zsig12 = zfac * z1_ecc2 * pshear_i(ji,jj) ! Stress invariants (sigma_I, sigma_II, Coon 1974, Feltham 2008), T-point - zsig_I(ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure - zsig_II(ji,jj) = SQRT ( MAX( 0._wp, zsig2 * zsig2 * 0.25_wp + zsig12 ) ) ! 2nd '' '', aka maximum shear stress + zsig_I(ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure + zsig_II(ji,jj) = SQRT ( zsig2 * zsig2 * 0.25_wp + zsig12 * zsig12 ) ! 2nd '' '' , aka maximum shear stress ! Normalized principal stresses (used to display the ellipse) z1_strength = 1._wp / MAX( 1._wp, strength(ji,jj) ) @@ -923,8 +901,8 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear zsig2_p(ji,jj) = ( zsig_I(ji,jj) - zsig_II(ji,jj) ) * z1_strength END_2D ! - CALL iom_put( 'sig1_pnorm' , zsig1_p ) - CALL iom_put( 'sig2_pnorm' , zsig2_p ) + IF( iom_use('sig1_pnorm') ) CALL iom_put( 'sig1_pnorm' , zsig1_p(:,:) * zmsk00(:,:) ) + IF( iom_use('sig2_pnorm') ) CALL iom_put( 'sig2_pnorm' , zsig2_p(:,:) * zmsk00(:,:) ) DEALLOCATE( zsig1_p , zsig2_p , zsig_I, zsig_II ) @@ -935,15 +913,15 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear CALL lbc_lnk( 'icedyn_rhg_eap', zyield11, 'T', 1.0_wp, zyield22, 'T', 1.0_wp, zyield12, 'T', 1.0_wp ) - CALL iom_put( 'yield11', zyield11 * aimsk00 ) - CALL iom_put( 'yield22', zyield22 * aimsk00 ) - CALL iom_put( 'yield12', zyield12 * aimsk00 ) + CALL iom_put( 'yield11', zyield11 * zmsk00 ) + CALL iom_put( 'yield22', zyield22 * zmsk00 ) + CALL iom_put( 'yield12', zyield12 * zmsk00 ) ENDIF ! --- anisotropy tensor --- ! IF( iom_use('aniso') ) THEN CALL lbc_lnk( 'icedyn_rhg_eap', paniso_11, 'T', 1.0_wp ) - CALL iom_put( 'aniso' , paniso_11 * aimsk00 ) + CALL iom_put( 'aniso' , paniso_11 * zmsk00 ) ENDIF ! --- SIMIP --- ! @@ -954,12 +932,12 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & zCorU, 'U', -1.0_wp, zCorV, 'V', -1.0_wp, & & zfU, 'U', -1.0_wp, zfV, 'V', -1.0_wp ) - CALL iom_put( 'dssh_dx' , zspgU * aimsk00 ) ! Sea-surface tilt term in force balance (x) - CALL iom_put( 'dssh_dy' , zspgV * aimsk00 ) ! Sea-surface tilt term in force balance (y) - CALL iom_put( 'corstrx' , zCorU * aimsk00 ) ! Coriolis force term in force balance (x) - CALL iom_put( 'corstry' , zCorV * aimsk00 ) ! Coriolis force term in force balance (y) - CALL iom_put( 'intstrx' , zfU * aimsk00 ) ! Internal force term in force balance (x) - CALL iom_put( 'intstry' , zfV * aimsk00 ) ! Internal force term in force balance (y) + CALL iom_put( 'dssh_dx' , zspgU * zmsk00 ) ! Sea-surface tilt term in force balance (x) + CALL iom_put( 'dssh_dy' , zspgV * zmsk00 ) ! Sea-surface tilt term in force balance (y) + CALL iom_put( 'corstrx' , zCorU * zmsk00 ) ! Coriolis force term in force balance (x) + CALL iom_put( 'corstry' , zCorV * zmsk00 ) ! Coriolis force term in force balance (y) + CALL iom_put( 'intstrx' , zfU * zmsk00 ) ! Internal force term in force balance (x) + CALL iom_put( 'intstry' , zfV * zmsk00 ) ! Internal force term in force balance (y) ENDIF IF( iom_use('xmtrpice') .OR. iom_use('ymtrpice') .OR. & @@ -970,8 +948,8 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ! DO_2D( 0, 0, 0, 0 ) ! 2D ice mass, snow mass, area transport arrays (X, Y) - zfac_x = 0.5 * u_ice(ji,jj) * e2u(ji,jj) * aimsk00(ji,jj) - zfac_y = 0.5 * v_ice(ji,jj) * e1v(ji,jj) * aimsk00(ji,jj) + zfac_x = 0.5 * u_ice(ji,jj) * e2u(ji,jj) * zmsk00(ji,jj) + zfac_y = 0.5 * v_ice(ji,jj) * e1v(ji,jj) * zmsk00(ji,jj) zdiag_xmtrp_ice(ji,jj) = rhoi * zfac_x * ( vt_i(ji+1,jj) + vt_i(ji,jj) ) ! ice mass transport, X-component zdiag_ymtrp_ice(ji,jj) = rhoi * zfac_y * ( vt_i(ji,jj+1) + vt_i(ji,jj) ) ! '' Y- '' @@ -1005,10 +983,10 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear IF( iom_use('uice_cvg') ) THEN IF( ln_aEVP ) THEN ! output: beta * ( u(t=nn_nevp) - u(t=nn_nevp-1) ) CALL iom_put( 'uice_cvg', MAX( ABS( u_ice(:,:) - zu_ice(:,:) ) * zbeta(:,:) * umask(:,:,1) , & - & ABS( v_ice(:,:) - zv_ice(:,:) ) * zbeta(:,:) * vmask(:,:,1) ) * aimsk15(:,:) ) + & ABS( v_ice(:,:) - zv_ice(:,:) ) * zbeta(:,:) * vmask(:,:,1) ) * zmsk15(:,:) ) ELSE ! output: nn_nevp * ( u(t=nn_nevp) - u(t=nn_nevp-1) ) CALL iom_put( 'uice_cvg', REAL( nn_nevp ) * MAX( ABS( u_ice(:,:) - zu_ice(:,:) ) * umask(:,:,1) , & - & ABS( v_ice(:,:) - zv_ice(:,:) ) * vmask(:,:,1) ) * aimsk15(:,:) ) + & ABS( v_ice(:,:) - zv_ice(:,:) ) * vmask(:,:,1) ) * zmsk15(:,:) ) ENDIF ENDIF ENDIF @@ -1016,7 +994,7 @@ SUBROUTINE ice_dyn_rhg_eap( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear END SUBROUTINE ice_dyn_rhg_eap - SUBROUTINE rhg_cvg_eap( kt, kiter, kitermax, pu, pv, pub, pvb ) + SUBROUTINE rhg_cvg_eap( kt, kiter, kitermax, pu, pv, pub, pvb, pmsk15 ) !!---------------------------------------------------------------------- !! *** ROUTINE rhg_cvg_eap *** !! @@ -1031,6 +1009,7 @@ SUBROUTINE rhg_cvg_eap( kt, kiter, kitermax, pu, pv, pub, pvb ) !!---------------------------------------------------------------------- INTEGER , INTENT(in) :: kt, kiter, kitermax ! ocean time-step index REAL(wp), DIMENSION(:,:), INTENT(in) :: pu, pv, pub, pvb ! now and before velocities + REAL(wp), DIMENSION(:,:), INTENT(in) :: pmsk15 !! INTEGER :: it, idtime, istatus INTEGER :: ji, jj ! dummy loop indices @@ -1059,22 +1038,20 @@ SUBROUTINE rhg_cvg_eap( kt, kiter, kitermax, pu, pv, pub, pvb ) ENDIF ! time - it = ( kt - 1 ) * kitermax + kiter + it = ( kt - nit000 ) * kitermax + kiter ! convergence IF( kiter == 1 ) THEN ! remove the first iteration for calculations of convergence (always very large) zresm = 0._wp ELSE - DO_2D( 1, 1, 1, 1 ) - eap_res(ji,jj) = MAX( ABS( pu(ji,jj) - pub(ji,jj) ) * umask(ji,jj,1), & - & ABS( pv(ji,jj) - pvb(ji,jj) ) * vmask(ji,jj,1) ) * aimsk15(ji,jj) + zresm = 0._wp + DO_2D( 0, 0, 0, 0 ) ! cut of the boundary of the box (forced velocities) - IF (mjg(jj)<=30 .or. mjg(jj)>970 .or. mig(ji)<=30 .or. mig(ji)>970) THEN - eap_res(ji,jj) = 0._wp - END IF - END_2D - - zresm = MAXVAL( eap_res ) + IF (mjg0(jj)>30 .AND. mjg0(jj)<=970 .AND. mig0(ji)>30 .AND. mig0(ji)<=970) THEN + zresm = MAX( zresm, MAX( ABS( pu(ji,jj) - pub(ji,jj) ) * umask(ji,jj,1), & + & ABS( pv(ji,jj) - pvb(ji,jj) ) * vmask(ji,jj,1) ) * pmsk15(ji,jj) ) + ENDIF + END_2D CALL mpp_max( 'icedyn_rhg_evp', zresm ) ! max over the global domain ENDIF @@ -1082,7 +1059,7 @@ SUBROUTINE rhg_cvg_eap( kt, kiter, kitermax, pu, pv, pub, pvb ) ! write variables istatus = NF90_PUT_VAR( ncvgid, nvarid, (/zresm/), (/it/), (/1/) ) ! close file - IF( kt == nitend ) istatus = NF90_CLOSE(ncvgid) + IF( kt == nitend - nn_fsbc + 1 .AND. kiter == kitermax ) istatus = NF90_CLOSE(ncvgid) ENDIF END SUBROUTINE rhg_cvg_eap diff --git a/ICE_RHEO/MY_SRC/icedyn_rhg_evp.F90 b/ICE_RHEO/MY_SRC/icedyn_rhg_evp.F90 index d632307..82e1432 100644 --- a/ICE_RHEO/MY_SRC/icedyn_rhg_evp.F90 +++ b/ICE_RHEO/MY_SRC/icedyn_rhg_evp.F90 @@ -5,9 +5,9 @@ MODULE icedyn_rhg_evp !!====================================================================== !! History : - ! 2007-03 (M.A. Morales Maqueda, S. Bouillon) Original code !! 3.0 ! 2008-03 (M. Vancoppenolle) adaptation to new model - !! - ! 2008-11 (M. Vancoppenolle, S. Bouillon, Y. Aksenov) add surface tilt in ice rheolohy + !! - ! 2008-11 (M. Vancoppenolle, S. Bouillon, Y. Aksenov) add surface tilt in ice rheolohy !! 3.3 ! 2009-05 (G.Garric) addition of the evp case - !! 3.4 ! 2011-01 (A. Porter) dynamical allocation + !! 3.4 ! 2011-01 (A. Porter) dynamical allocation !! 3.5 ! 2012-08 (R. Benshila) AGRIF !! 3.6 ! 2016-06 (C. Rousset) Rewriting + landfast ice + mEVP (Bouillon 2013) !! 3.7 ! 2017 (C. Rousset) add aEVP (Kimmritz 2016-2017) @@ -27,8 +27,8 @@ MODULE icedyn_rhg_evp USE ice ! sea-ice: ice variables USE icevar ! ice_var_sshdyn USE icedyn_rdgrft ! sea-ice: ice strength - USE bdy_oce , ONLY : ln_bdy - USE bdyice + USE bdy_oce , ONLY : ln_bdy + USE bdyice #if defined key_agrif USE agrif_ice_interp #endif @@ -47,17 +47,17 @@ MODULE icedyn_rhg_evp PUBLIC ice_dyn_rhg_evp ! called by icedyn_rhg.F90 PUBLIC rhg_evp_rst ! called by icedyn_rhg.F90 - !! * Substitutions -# include "do_loop_substitute.h90" -# include "domzgr_substitute.h90" - !! for convergence tests INTEGER :: ncvgid ! netcdf file id INTEGER :: nvarid ! netcdf variable id - REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zmsk00, zmsk15 + REAL(wp), DIMENSION(:,:), ALLOCATABLE :: fimask ! mask at F points for the ice + + !! * Substitutions +# include "do_loop_substitute.h90" +# include "domzgr_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/ICE 4.0 , NEMO Consortium (2018) - !! $Id: icedyn_rhg_evp.F90 13612 2020-10-14 17:18:19Z clem $ + !! $Id: icedyn_rhg_evp.F90 15550 2021-11-28 20:02:31Z clem $ !! Software governed by the CeCILL license (see ./LICENSE) !!---------------------------------------------------------------------- CONTAINS @@ -68,9 +68,9 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear !! EVP-C-grid !! !! ** purpose : determines sea ice drift from wind stress, ice-ocean - !! stress and sea-surface slope. Ice-ice interaction is described by - !! a non-linear elasto-viscous-plastic (EVP) law including shear - !! strength and a bulk rheology (Hunke and Dukowicz, 2002). + !! stress and sea-surface slope. Ice-ice interaction is described by + !! a non-linear elasto-viscous-plastic (EVP) law including shear + !! strength and a bulk rheology (Hunke and Dukowicz, 2002). !! !! The points in the C-grid look like this, dear reader !! @@ -78,24 +78,24 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear !! | !! | !! (ji-1,jj) | (ji,jj) - !! --------- + !! --------- !! | | !! | (ji,jj) |------(ji,jj) !! | | - !! --------- + !! --------- !! (ji-1,jj-1) (ji,jj-1) !! !! ** Inputs : - wind forcing (stress), oceanic currents !! ice total volume (vt_i) per unit area !! snow total volume (vt_s) per unit area !! - !! ** Action : - compute u_ice, v_ice : the components of the + !! ** Action : - compute u_ice, v_ice : the components of the !! sea-ice velocity vector !! - compute delta_i, shear_i, divu_i, which are inputs !! of the ice thickness distribution !! !! ** Steps : 0) compute mask at F point - !! 1) Compute ice snow mass, ice strength + !! 1) Compute ice snow mass, ice strength !! 2) Compute wind, oceanic stresses, mass terms and !! coriolis terms of the momentum equation !! 3) Solve the momentum equation (iterative procedure) @@ -133,10 +133,8 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear REAL(wp) :: zkt ! isotropic tensile strength for landfast ice REAL(wp) :: zvCr ! critical ice volume above which ice is landfast ! - REAL(wp) :: zintb, zintn ! dummy argument REAL(wp) :: zfac_x, zfac_y - REAL(wp) :: zshear, zdum1, zdum2 - REAL(wp) :: zinvw ! for test case + REAL(wp) :: zinvw ! for test case ! REAL(wp), DIMENSION(jpi,jpj) :: zdelta, zp_delt ! delta and P/delta at T points @@ -153,7 +151,7 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear REAL(wp), DIMENSION(jpi,jpj) :: zs1, zs2, zs12 ! stress tensor components REAL(wp), DIMENSION(jpi,jpj) :: zsshdyn ! array used for the calculation of ice surface slope: ! ! ocean surface (ssh_m) if ice is not embedded - ! ! ice bottom surface if ice is embedded + ! ! ice bottom surface if ice is embedded REAL(wp), DIMENSION(jpi,jpj) :: zfU , zfV ! internal stresses REAL(wp), DIMENSION(jpi,jpj) :: zspgU, zspgV ! surface pressure gradient at U/V points REAL(wp), DIMENSION(jpi,jpj) :: zCorU, zCorV ! Coriolis stress array @@ -162,9 +160,9 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear REAL(wp), DIMENSION(jpi,jpj) :: ztaux_bi, ztauy_bi ! ice-OceanBottom stress at U-V points (landfast) REAL(wp), DIMENSION(jpi,jpj) :: ztaux_base, ztauy_base ! ice-bottom stress at U-V points (landfast) ! + REAL(wp), DIMENSION(jpi,jpj) :: zmsk, zmsk00, zmsk15 REAL(wp), DIMENSION(jpi,jpj) :: zmsk01x, zmsk01y ! dummy arrays REAL(wp), DIMENSION(jpi,jpj) :: zmsk00x, zmsk00y ! mask for ice presence - REAL(wp), DIMENSION(jpi,jpj) :: zfmask ! mask at F points for the ice REAL(wp), PARAMETER :: zepsi = 1.0e-20_wp ! tolerance parameter REAL(wp), PARAMETER :: zmmin = 1._wp ! ice mass (kg/m2) below which ice velocity becomes very small @@ -173,65 +171,61 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear REAL(wp), DIMENSION(jpi,jpj) :: zu_ice, zv_ice !! --- diags REAL(wp) :: zsig1, zsig2, zsig12, zfac, z1_strength - REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zsig_I, zsig_II, zsig1_p, zsig2_p + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zsig_I, zsig_II, zsig1_p, zsig2_p !! --- SIMIP diags REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xmtrp_ice ! X-component of ice mass transport (kg/s) REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_ymtrp_ice ! Y-component of ice mass transport (kg/s) REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xmtrp_snw ! X-component of snow mass transport (kg/s) REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_ymtrp_snw ! Y-component of snow mass transport (kg/s) REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xatrp ! X-component of area transport (m2/s) - REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_yatrp ! Y-component of area transport (m2/s) + REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_yatrp ! Y-component of area transport (m2/s) + !! -- advect fields at the rheology time step for the calculation of strength + !! it seems that convergence is worse when ll_advups=true. So it is not really a good idea + LOGICAL :: ll_advups = .FALSE. + REAL(wp) :: zdt_ups + REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: za_i_ups, zv_i_ups ! tracers advected upstream !!------------------------------------------------------------------- IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_rhg_evp: EVP sea-ice rheology' ! ! for diagnostics and convergence tests - ALLOCATE( zmsk00(jpi,jpj), zmsk15(jpi,jpj) ) - DO_2D( 1, 1, 1, 1 ) + DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) zmsk00(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi06 ) ) ! 1 if ice , 0 if no ice - zmsk15(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - 0.15_wp ) ) ! 1 if 15% ice, 0 if less + zmsk (ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi10 ) ) ! 1 if ice , 0 if no ice END_2D + IF( nn_rhg_chkcvg > 0 ) THEN + DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) + zmsk15(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - 0.15_wp ) ) ! 1 if 15% ice, 0 if less + END_2D + ENDIF ! - !!gm for Clem: OPTIMIZATION: I think zfmask can be computed one for all at the initialization.... !------------------------------------------------------------------------------! ! 0) mask at F points for the ice !------------------------------------------------------------------------------! - ! ocean/land mask - DO_2D( 1, 0, 1, 0 ) - zfmask(ji,jj) = tmask(ji,jj,1) * tmask(ji+1,jj,1) * tmask(ji,jj+1,1) * tmask(ji+1,jj+1,1) - END_2D - CALL lbc_lnk( 'icedyn_rhg_evp', zfmask, 'F', 1._wp ) - - ! Lateral boundary conditions on velocity (modify zfmask) - DO_2D( 0, 0, 0, 0 ) - IF( zfmask(ji,jj) == 0._wp ) THEN - zfmask(ji,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(ji,jj,1), umask(ji,jj+1,1), & - & vmask(ji,jj,1), vmask(ji+1,jj,1) ) ) - ENDIF - END_2D - DO jj = 2, jpjm1 - IF( zfmask(1,jj) == 0._wp ) THEN - zfmask(1 ,jj) = rn_ishlat * MIN( 1._wp , MAX( vmask(2,jj,1), umask(1,jj+1,1), umask(1,jj,1) ) ) - ENDIF - IF( zfmask(jpi,jj) == 0._wp ) THEN - zfmask(jpi,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(jpi,jj+1,1), vmask(jpim1,jj,1), umask(jpi,jj-1,1) ) ) - ENDIF - END DO - DO ji = 2, jpim1 - IF( zfmask(ji,1) == 0._wp ) THEN - zfmask(ji, 1 ) = rn_ishlat * MIN( 1._wp , MAX( vmask(ji+1,1,1), umask(ji,2,1), vmask(ji,1,1) ) ) - ENDIF - IF( zfmask(ji,jpj) == 0._wp ) THEN - zfmask(ji,jpj) = rn_ishlat * MIN( 1._wp , MAX( vmask(ji+1,jpj,1), vmask(ji-1,jpj,1), umask(ji,jpjm1,1) ) ) + IF( kt == nit000 ) THEN + ! ocean/land mask + ALLOCATE( fimask(jpi,jpj) ) + IF( rn_ishlat == 0._wp ) THEN + DO_2D( 0, 0, 0, 0 ) + fimask(ji,jj) = tmask(ji,jj,1) * tmask(ji+1,jj,1) * tmask(ji,jj+1,1) * tmask(ji+1,jj+1,1) + END_2D + ELSE + DO_2D( 0, 0, 0, 0 ) + fimask(ji,jj) = tmask(ji,jj,1) * tmask(ji+1,jj,1) * tmask(ji,jj+1,1) * tmask(ji+1,jj+1,1) + ! Lateral boundary conditions on velocity (modify fimask) + IF( fimask(ji,jj) == 0._wp ) THEN + fimask(ji,jj) = rn_ishlat * MIN( 1._wp , MAX( umask(ji,jj,1), umask(ji,jj+1,1), & + & vmask(ji,jj,1), vmask(ji+1,jj,1) ) ) + ENDIF + END_2D ENDIF - END DO - CALL lbc_lnk( 'icedyn_rhg_evp', zfmask, 'F', 1._wp ) - + CALL lbc_lnk( 'icedyn_rhg_evp', fimask, 'F', 1._wp ) + ENDIF !------------------------------------------------------------------------------! ! 1) define some variables and initialize arrays !------------------------------------------------------------------------------! - zrhoco = rho0 * rn_cio -!extra code for test case boundary conditions + zrhoco = rho0 * rn_cio + !extra code for test case boundary conditions zinvw=1._wp/(zrhoco*0.5_wp) ! ecc2: square of yield ellipse eccenticrity @@ -247,13 +241,13 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear z1_alph1 = 1._wp / ( zalph1 + 1._wp ) z1_alph2 = 1._wp / ( zalph2 + 1._wp ) ELSE - zdtevp = rdt_ice + zdtevp = rDt_ice ! zalpha parameters set later on adaptatively ENDIF z1_dtevp = 1._wp / zdtevp - - ! Initialise stress tensor - zs1 (:,:) = pstress1_i (:,:) + + ! Initialise stress tensor + zs1 (:,:) = pstress1_i (:,:) zs2 (:,:) = pstress2_i (:,:) zs12(:,:) = pstress12_i(:,:) @@ -273,7 +267,13 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ! non-embedded sea ice: use ocean surface for slope calculation zsshdyn(:,:) = ice_var_sshdyn( ssh_m, snwice_mass, snwice_mass_b) - DO_2D( 0, 0, 0, 0 ) + DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) + zm1 = ( rhos * vt_s(ji,jj) + rhoi * vt_i(ji,jj) ) ! Ice/snow mass at U-V points + zmf (ji,jj) = zm1 * ff_t(ji,jj) ! Coriolis at T points (m*f) + zdt_m(ji,jj) = zdtevp / MAX( zm1, zmmin ) ! dt/m at T points (for alpha and beta coefficients) + END_2D + + DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) ! ice fraction at U-V points zaU(ji,jj) = 0.5_wp * ( at_i(ji,jj) * e1e2t(ji,jj) + at_i(ji+1,jj) * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) @@ -287,19 +287,14 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear zmassV = 0.5_wp * ( zm1 * e1e2t(ji,jj) + zm3 * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) ! Ocean currents at U-V points - v_oceU(ji,jj) = 0.25_wp * ( v_oce(ji,jj) + v_oce(ji,jj-1) + v_oce(ji+1,jj) + v_oce(ji+1,jj-1) ) * umask(ji,jj,1) - u_oceV(ji,jj) = 0.25_wp * ( u_oce(ji,jj) + u_oce(ji-1,jj) + u_oce(ji,jj+1) + u_oce(ji-1,jj+1) ) * vmask(ji,jj,1) + ! (brackets added to fix the order of floating point operations for halo 1 - halo 2 compatibility) + v_oceU(ji,jj) = 0.25_wp * ( (v_oce(ji,jj) + v_oce(ji,jj-1)) + (v_oce(ji+1,jj) + v_oce(ji+1,jj-1)) ) * umask(ji,jj,1) + u_oceV(ji,jj) = 0.25_wp * ( (u_oce(ji,jj) + u_oce(ji-1,jj)) + (u_oce(ji,jj+1) + u_oce(ji-1,jj+1)) ) * vmask(ji,jj,1) - ! Coriolis at T points (m*f) - zmf(ji,jj) = zm1 * ff_t(ji,jj) - - ! dt/m at T points (for alpha and beta coefficients) - zdt_m(ji,jj) = zdtevp / MAX( zm1, zmmin ) - ! m/dt zmU_t(ji,jj) = zmassU * z1_dtevp zmV_t(ji,jj) = zmassV * z1_dtevp - + ! Drag ice-atm. ztaux_ai(ji,jj) = zaU(ji,jj) * utau_ice(ji,jj) ztauy_ai(ji,jj) = zaV(ji,jj) * vtau_ice(ji,jj) @@ -319,29 +314,28 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ELSE ; zmsk01y(ji,jj) = 1._wp ; ENDIF END_2D - CALL lbc_lnk( 'icedyn_rhg_evp', zmf, 'T', 1.0_wp, zdt_m, 'T', 1.0_wp ) ! ! !== Landfast ice parameterization ==! ! IF( ln_landfast_L16 ) THEN !-- Lemieux 2016 - DO_2D( 0, 0, 0, 0 ) + DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) ! ice thickness at U-V points zvU = 0.5_wp * ( vt_i(ji,jj) * e1e2t(ji,jj) + vt_i(ji+1,jj) * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) zvV = 0.5_wp * ( vt_i(ji,jj) * e1e2t(ji,jj) + vt_i(ji,jj+1) * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) ! ice-bottom stress at U points - zvCr = zaU(ji,jj) * rn_lf_depfra * hu(ji,jj,Kmm) + zvCr = zaU(ji,jj) * rn_lf_depfra * hu(ji,jj,Kmm) * ( 1._wp - icb_mask(ji,jj) ) ! if grounded icebergs are read: ocean depth = 0 ztaux_base(ji,jj) = - rn_lf_bfr * MAX( 0._wp, zvU - zvCr ) * EXP( -rn_crhg * ( 1._wp - zaU(ji,jj) ) ) ! ice-bottom stress at V points - zvCr = zaV(ji,jj) * rn_lf_depfra * hv(ji,jj,Kmm) + zvCr = zaV(ji,jj) * rn_lf_depfra * hv(ji,jj,Kmm) * ( 1._wp - icb_mask(ji,jj) ) ! if grounded icebergs are read: ocean depth = 0 ztauy_base(ji,jj) = - rn_lf_bfr * MAX( 0._wp, zvV - zvCr ) * EXP( -rn_crhg * ( 1._wp - zaV(ji,jj) ) ) ! ice_bottom stress at T points - zvCr = at_i(ji,jj) * rn_lf_depfra * ht(ji,jj) + zvCr = at_i(ji,jj) * rn_lf_depfra * ht(ji,jj) * ( 1._wp - icb_mask(ji,jj) ) ! if grounded icebergs are read: ocean depth = 0 tau_icebfr(ji,jj) = - rn_lf_bfr * MAX( 0._wp, vt_i(ji,jj) - zvCr ) * EXP( -rn_crhg * ( 1._wp - at_i(ji,jj) ) ) END_2D CALL lbc_lnk( 'icedyn_rhg_evp', tau_icebfr(:,:), 'T', 1.0_wp ) ! ELSE !-- no landfast - DO_2D( 0, 0, 0, 0 ) + DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) ztaux_base(ji,jj) = 0._wp ztauy_base(ji,jj) = 0._wp END_2D @@ -353,7 +347,7 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ! ! ! ==================== ! DO jter = 1 , nn_nevp ! loop over jter ! - ! ! ==================== ! + ! ! ==================== ! l_full_nf_update = jter == nn_nevp ! false: disable full North fold update (performances) for iter = 1 to nn_nevp-1 ! ! convergence test @@ -365,12 +359,12 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ENDIF ! --- divergence, tension & shear (Appendix B of Hunke & Dukowicz, 2002) --- ! - DO_2D( 1, 0, 1, 0 ) + DO_2D( nn_hls, nn_hls-1, nn_hls, nn_hls-1 ) ! shear at F points zds(ji,jj) = ( ( u_ice(ji,jj+1) * r1_e1u(ji,jj+1) - u_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & & + ( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & - & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) + & ) * r1_e1e2f(ji,jj) * fimask(ji,jj) END_2D @@ -380,42 +374,42 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear zds2 = ( zds(ji,jj ) * zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * zds(ji-1,jj ) * e1e2f(ji-1,jj ) & & + zds(ji,jj-1) * zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & & ) * 0.25_wp * r1_e1e2t(ji,jj) - + ! divergence at T points zdiv = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & & ) * r1_e1e2t(ji,jj) zdiv2 = zdiv * zdiv - + ! tension at T points zdt = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & & ) * r1_e1e2t(ji,jj) zdt2 = zdt * zdt - + ! delta at T points - zdelta(ji,jj) = SQRT( zdiv2 + ( zdt2 + zds2 ) * z1_ecc2 ) + zdelta(ji,jj) = SQRT( zdiv2 + ( zdt2 + zds2 ) * z1_ecc2 ) * zmsk(ji,jj) ! zmsk is for reducing cpu - END_2D - CALL lbc_lnk( 'icedyn_rhg_evp', zdelta, 'T', 1.0_wp ) + ! P/delta at T points + zp_delt(ji,jj) = strength(ji,jj) / ( zdelta(ji,jj) + rn_creepl ) * zmsk(ji,jj) ! zmsk is for reducing cpu - ! P/delta at T points - DO_2D( 1, 1, 1, 1 ) - zp_delt(ji,jj) = strength(ji,jj) / ( zdelta(ji,jj) + rn_creepl ) END_2D + CALL lbc_lnk( 'icedyn_rhg_evp', zdelta, 'T', 1.0_wp, zp_delt, 'T', 1.0_wp ) - DO_2D( 0, 1, 0, 1 ) ! loop ends at jpi,jpj so that no lbc_lnk are needed for zs1 and zs2 + ! + DO_2D( nn_hls-1, nn_hls, nn_hls-1, nn_hls ) ! loop ends at jpi,jpj so that no lbc_lnk are needed for zs1 and zs2 ! divergence at T points (duplication to avoid communications) - zdiv = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & - & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & + ! (brackets added to fix the order of floating point operations for halo 1 - halo 2 compatibility) + zdiv = ( (e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj)) & + & + (e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1)) & & ) * r1_e1e2t(ji,jj) - + ! tension at T points (duplication to avoid communications) zdt = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & & ) * r1_e1e2t(ji,jj) - + ! alpha for aEVP ! gamma = 0.5*P/(delta+creepl) * (c*pi)**2/Area * dt/m ! alpha = beta = sqrt(4*gamma) @@ -430,21 +424,23 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ! zalph1 = zalph1 - 1._wp ! zalph2 = zalph1 ENDIF - + ! stress at T points (zkt/=0 if landfast) - zs1(ji,jj) = ( zs1(ji,jj)*zalph1 + zp_delt(ji,jj) * ( zdiv*(1._wp + zkt) - zdelta(ji,jj)*(1._wp - zkt) ) ) * z1_alph1 - zs2(ji,jj) = ( zs2(ji,jj)*zalph2 + zp_delt(ji,jj) * ( zdt * z1_ecc2 * (1._wp + zkt) ) ) * z1_alph2 - + zs1(ji,jj) = ( zs1(ji,jj)*zalph1 + zp_delt(ji,jj) * ( zdiv*(1._wp + zkt) - zdelta(ji,jj)*(1._wp - zkt) ) ) & + & * z1_alph1 * zmsk(ji,jj) ! zmsk is for reducing cpu + zs2(ji,jj) = ( zs2(ji,jj)*zalph2 + zp_delt(ji,jj) * ( zdt * z1_ecc2 * (1._wp + zkt) ) ) & + & * z1_alph2 * zmsk(ji,jj) ! zmsk is for reducing cpu + END_2D ! Save beta at T-points for further computations IF( ln_aEVP ) THEN - DO_2D( 1, 1, 1, 1 ) + DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) zbeta(ji,jj) = MAX( 50._wp, rpi * SQRT( 0.5_wp * zp_delt(ji,jj) * r1_e1e2t(ji,jj) * zdt_m(ji,jj) ) ) END_2D ENDIF - - DO_2D( 1, 0, 1, 0 ) + + DO_2D( nn_hls, nn_hls-1, nn_hls, nn_hls-1 ) ! alpha for aEVP IF( ln_aEVP ) THEN @@ -454,36 +450,39 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ! z1_alph2 = 1._wp / zalph2 ! zalph2 = zalph2 - 1._wp ENDIF - + ! P/delta at F points - zp_delf = 0.25_wp * ( zp_delt(ji,jj) + zp_delt(ji+1,jj) + zp_delt(ji,jj+1) + zp_delt(ji+1,jj+1) ) - + ! (brackets added to fix the order of floating point operations for halo 1 - halo 2 compatibility) + zp_delf = 0.25_wp * ( (zp_delt(ji,jj) + zp_delt(ji+1,jj)) + (zp_delt(ji,jj+1) + zp_delt(ji+1,jj+1)) ) + ! stress at F points (zkt/=0 if landfast) - zs12(ji,jj)= ( zs12(ji,jj) * zalph2 + zp_delf * ( zds(ji,jj) * z1_ecc2 * (1._wp + zkt) ) * 0.5_wp ) * z1_alph2 + zs12(ji,jj)= ( zs12(ji,jj) * zalph2 + zp_delf * ( zds(ji,jj) * z1_ecc2 * (1._wp + zkt) ) * 0.5_wp ) & + & * z1_alph2 END_2D ! --- Ice internal stresses (Appendix C of Hunke and Dukowicz, 2002) --- ! - DO_2D( 0, 0, 0, 0 ) + ! (brackets added to fix the order of floating point operations for halo 1 - halo 2 compatibility) + DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) ! !--- U points - zfU(ji,jj) = 0.5_wp * ( ( zs1(ji+1,jj) - zs1(ji,jj) ) * e2u(ji,jj) & + zfU(ji,jj) = 0.5_wp * ( (( zs1(ji+1,jj) - zs1(ji,jj) ) * e2u(ji,jj) & & + ( zs2(ji+1,jj) * e2t(ji+1,jj) * e2t(ji+1,jj) - zs2(ji,jj) * e2t(ji,jj) * e2t(ji,jj) & - & ) * r1_e2u(ji,jj) & + & ) * r1_e2u(ji,jj)) & & + ( zs12(ji,jj) * e1f(ji,jj) * e1f(ji,jj) - zs12(ji,jj-1) * e1f(ji,jj-1) * e1f(ji,jj-1) & & ) * 2._wp * r1_e1u(ji,jj) & & ) * r1_e1e2u(ji,jj) ! ! !--- V points - zfV(ji,jj) = 0.5_wp * ( ( zs1(ji,jj+1) - zs1(ji,jj) ) * e1v(ji,jj) & + zfV(ji,jj) = 0.5_wp * ( (( zs1(ji,jj+1) - zs1(ji,jj) ) * e1v(ji,jj) & & - ( zs2(ji,jj+1) * e1t(ji,jj+1) * e1t(ji,jj+1) - zs2(ji,jj) * e1t(ji,jj) * e1t(ji,jj) & - & ) * r1_e1v(ji,jj) & + & ) * r1_e1v(ji,jj)) & & + ( zs12(ji,jj) * e2f(ji,jj) * e2f(ji,jj) - zs12(ji-1,jj) * e2f(ji-1,jj) * e2f(ji-1,jj) & & ) * 2._wp * r1_e2v(ji,jj) & & ) * r1_e1e2v(ji,jj) ! ! !--- ice currents at U-V point - v_iceU(ji,jj) = 0.25_wp * ( v_ice(ji,jj) + v_ice(ji,jj-1) + v_ice(ji+1,jj) + v_ice(ji+1,jj-1) ) * umask(ji,jj,1) - u_iceV(ji,jj) = 0.25_wp * ( u_ice(ji,jj) + u_ice(ji-1,jj) + u_ice(ji,jj+1) + u_ice(ji-1,jj+1) ) * vmask(ji,jj,1) + v_iceU(ji,jj) = 0.25_wp * ( (v_ice(ji,jj) + v_ice(ji,jj-1)) + (v_ice(ji+1,jj) + v_ice(ji+1,jj-1)) ) * umask(ji,jj,1) + u_iceV(ji,jj) = 0.25_wp * ( (u_ice(ji,jj) + u_ice(ji-1,jj)) + (u_ice(ji,jj+1) + u_ice(ji-1,jj+1)) ) * vmask(ji,jj,1) ! END_2D ! @@ -492,7 +491,7 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ! Bouillon et al. 2009 (eq 34-35) => stable IF( MOD(jter,2) == 0 ) THEN ! even iterations ! - DO_2D( 0, 0, 0, 0 ) + DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) ! !--- tau_io/(v_oce - v_ice) zTauO = zaV(ji,jj) * zrhoco * SQRT( ( v_ice (ji,jj) - v_oce (ji,jj) ) * ( v_ice (ji,jj) - v_oce (ji,jj) ) & & + ( u_iceV(ji,jj) - u_oceV(ji,jj) ) * ( u_iceV(ji,jj) - u_oceV(ji,jj) ) ) @@ -522,7 +521,7 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear v_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * ( zbetav * v_ice(ji,jj) + v_ice_b(ji,jj) ) & ! previous velocity & + zRHS + zTauO * v_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) & ) / MAX( zepsi, zmV_t(ji,jj) * ( zbetav + 1._wp ) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast - & + ( 1._wp - rswitch ) * ( v_ice_b(ji,jj) & + & + ( 1._wp - rswitch ) * ( v_ice_b(ji,jj) & & + v_ice (ji,jj) * MAX( 0._wp, zbetav - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 & ) / ( zbetav + 1._wp ) & & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin @@ -535,18 +534,12 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00y(ji,jj) ENDIF -!extra code for test case boundary conditions + !extra code for test case boundary conditions IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN v_ice(ji,jj) = zinvw*(ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj)) END IF - END_2D - CALL lbc_lnk( 'icedyn_rhg_evp', v_ice, 'V', -1.0_wp ) - ! -#if defined key_agrif -!! CALL agrif_interp_ice( 'V', jter, nn_nevp ) - CALL agrif_interp_ice( 'V' ) -#endif - IF( ln_bdy ) CALL bdy_ice_dyn( 'V' ) + END_2D + IF( nn_hls == 1 ) CALL lbc_lnk( 'icedyn_rhg_evp', v_ice, 'V', -1.0_wp ) ! DO_2D( 0, 0, 0, 0 ) ! !--- tau_io/(u_oce - u_ice) @@ -581,32 +574,28 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & + ( 1._wp - rswitch ) * ( u_ice_b(ji,jj) & & + u_ice (ji,jj) * MAX( 0._wp, zbetau - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 & ) / ( zbetau + 1._wp ) & - & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00x(ji,jj) ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) u_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * u_ice(ji,jj) & ! previous velocity & + zRHS + zTauO * u_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) & ) / MAX( zepsi, zmU_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast & + ( 1._wp - rswitch ) * u_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 - & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00x(ji,jj) ENDIF -!extra code for test case boundary conditions + !extra code for test case boundary conditions IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN u_ice(ji,jj) = zinvw*(ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj)) END IF - END_2D - CALL lbc_lnk( 'icedyn_rhg_evp', u_ice, 'U', -1.0_wp ) - ! -#if defined key_agrif -!! CALL agrif_interp_ice( 'U', jter, nn_nevp ) - CALL agrif_interp_ice( 'U' ) -#endif - IF( ln_bdy ) CALL bdy_ice_dyn( 'U' ) + END_2D + IF( nn_hls == 1 ) THEN ; CALL lbc_lnk( 'icedyn_rhg_evp', u_ice, 'U', -1.0_wp ) + ELSE ; CALL lbc_lnk( 'icedyn_rhg_evp', u_ice, 'U', -1.0_wp, v_ice, 'V', -1.0_wp ) + ENDIF ! ELSE ! odd iterations ! - DO_2D( 0, 0, 0, 0 ) + DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) ! !--- tau_io/(u_oce - u_ice) zTauO = zaU(ji,jj) * zrhoco * SQRT( ( u_ice (ji,jj) - u_oce (ji,jj) ) * ( u_ice (ji,jj) - u_oce (ji,jj) ) & & + ( v_iceU(ji,jj) - v_oceU(ji,jj) ) * ( v_iceU(ji,jj) - v_oceU(ji,jj) ) ) @@ -639,7 +628,7 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & + ( 1._wp - rswitch ) * ( u_ice_b(ji,jj) & & + u_ice (ji,jj) * MAX( 0._wp, zbetau - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 & ) / ( zbetau + 1._wp ) & - & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin + & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00x(ji,jj) ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) u_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * u_ice(ji,jj) & ! previous velocity @@ -649,18 +638,12 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & ) * zmsk01x(ji,jj) + u_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01x(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00x(ji,jj) ENDIF -!extra code for test case boundary conditions + !extra code for test case boundary conditions IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN u_ice(ji,jj) = zinvw*(ztaux_ai(ji,jj) + zCorU(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj)) END IF - END_2D - CALL lbc_lnk( 'icedyn_rhg_evp', u_ice, 'U', -1.0_wp ) - ! -#if defined key_agrif -!! CALL agrif_interp_ice( 'U', jter, nn_nevp ) - CALL agrif_interp_ice( 'U' ) -#endif - IF( ln_bdy ) CALL bdy_ice_dyn( 'U' ) + END_2D + IF( nn_hls == 1 ) CALL lbc_lnk( 'icedyn_rhg_evp', u_ice, 'U', -1.0_wp ) ! DO_2D( 0, 0, 0, 0 ) ! !--- tau_io/(v_oce - v_ice) @@ -694,7 +677,7 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & ) / MAX( zepsi, zmV_t(ji,jj) * ( zbetav + 1._wp ) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast & + ( 1._wp - rswitch ) * ( v_ice_b(ji,jj) & & + v_ice (ji,jj) * MAX( 0._wp, zbetav - zdtevp * rn_lf_relax ) & ! static friction => slow decrease to v=0 - & ) / ( zbetav + 1._wp ) & + & ) / ( zbetav + 1._wp ) & & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00y(ji,jj) ELSE !--- ice velocity using EVP implicit formulation (cf Madec doc & Bouillon 2009) @@ -705,43 +688,74 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & ) * zmsk01y(ji,jj) + v_oce(ji,jj) * 0.01_wp * ( 1._wp - zmsk01y(ji,jj) ) & ! v_ice = v_oce/100 if mass < zmmin & conc < zamin & ) * zmsk00y(ji,jj) ENDIF -!extra code for test case boundary conditions + !extra code for test case boundary conditions IF (mjg(jj)<25 .or. mjg(jj)>975 .or. mig(ji)<25 .or. mig(ji)>975) THEN v_ice(ji,jj) = zinvw*(ztauy_ai(ji,jj) + zCorV(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj)) END IF - END_2D - CALL lbc_lnk( 'icedyn_rhg_evp', v_ice, 'V', -1.0_wp ) + END_2D + IF( nn_hls == 1 ) THEN ; CALL lbc_lnk( 'icedyn_rhg_evp', v_ice, 'V', -1.0_wp ) + ELSE ; CALL lbc_lnk( 'icedyn_rhg_evp', u_ice, 'U', -1.0_wp, v_ice, 'V', -1.0_wp ) + ENDIF ! + ENDIF + ! #if defined key_agrif -!! CALL agrif_interp_ice( 'V', jter, nn_nevp ) - CALL agrif_interp_ice( 'V' ) +!! CALL agrif_interp_ice( 'U', jter, nn_nevp ) +!! CALL agrif_interp_ice( 'V', jter, nn_nevp ) + CALL agrif_interp_ice( 'U' ) + CALL agrif_interp_ice( 'V' ) #endif - IF( ln_bdy ) CALL bdy_ice_dyn( 'V' ) - ! - ENDIF - + IF( ln_bdy ) CALL bdy_ice_dyn( 'U' ) + IF( ln_bdy ) CALL bdy_ice_dyn( 'V' ) + ! ! convergence test - IF( nn_rhg_chkcvg == 2 ) CALL rhg_cvg( kt, jter, nn_nevp, u_ice, v_ice, zu_ice, zv_ice ) + IF( nn_rhg_chkcvg == 2 ) CALL rhg_cvg( kt, jter, nn_nevp, u_ice, v_ice, zu_ice, zv_ice, zmsk15 ) + ! ! + ! --- change strength according to advected a_i and v_i (upstream for now) --- ! + IF( ll_advups .AND. ln_str_H79 ) THEN + ! + IF( jter == 1 ) THEN ! init + ALLOCATE( za_i_ups(jpi,jpj,jpl), zv_i_ups(jpi,jpj,jpl) ) + zdt_ups = rDt_ice / REAL( nn_nevp ) + za_i_ups(:,:,:) = a_i(:,:,:) + zv_i_ups(:,:,:) = v_i(:,:,:) + ELSE + CALL lbc_lnk( 'icedyn_rhg_evp', za_i_ups, 'T', 1.0_wp, zv_i_ups, 'T', 1.0_wp ) + ENDIF + ! + CALL rhg_upstream( jter, zdt_ups, u_ice, v_ice, za_i_ups ) ! upstream advection: a_i + CALL rhg_upstream( jter, zdt_ups, u_ice, v_ice, zv_i_ups ) ! upstream advection: v_i + ! + DO_2D( 0, 0, 0, 0 ) ! strength + strength(ji,jj) = rn_pstar * SUM( zv_i_ups(ji,jj,:) ) * EXP( -rn_crhg * ( 1._wp - SUM( za_i_ups(ji,jj,:) ) ) ) + END_2D + ! + IF( jter == nn_nevp ) THEN + DEALLOCATE( za_i_ups, zv_i_ups ) + ENDIF + ENDIF ! ! ==================== ! END DO ! end loop over jter ! ! ! ==================== ! IF( ln_aEVP ) CALL iom_put( 'beta_evp' , zbeta ) ! + IF( ll_advups .AND. ln_str_H79 ) CALL lbc_lnk( 'icedyn_rhg_evp', strength, 'T', 1.0_wp ) + ! !------------------------------------------------------------------------------! - ! 4) Recompute delta, shear and div (inputs for mechanical redistribution) + ! 4) Recompute delta, shear and div (inputs for mechanical redistribution) !------------------------------------------------------------------------------! - DO_2D( 1, 0, 1, 0 ) + DO_2D( nn_hls, nn_hls-1, nn_hls, nn_hls-1 ) ! shear at F points zds(ji,jj) = ( ( u_ice(ji,jj+1) * r1_e1u(ji,jj+1) - u_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & & + ( v_ice(ji+1,jj) * r1_e2v(ji+1,jj) - v_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & - & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) + & ) * r1_e1e2f(ji,jj) * fimask(ji,jj) END_2D - + DO_2D( 0, 0, 0, 0 ) ! no vector loop - + ! tension**2 at T points zdt = ( ( u_ice(ji,jj) * r1_e2u(ji,jj) - u_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & & - ( v_ice(ji,jj) * r1_e1v(ji,jj) - v_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & @@ -749,29 +763,29 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear zdt2 = zdt * zdt zten_i(ji,jj) = zdt - + ! shear**2 at T points (doc eq. A16) zds2 = ( zds(ji,jj ) * zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * zds(ji-1,jj ) * e1e2f(ji-1,jj ) & & + zds(ji,jj-1) * zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & & ) * 0.25_wp * r1_e1e2t(ji,jj) - + ! shear at T points - pshear_i(ji,jj) = SQRT( zdt2 + zds2 ) + pshear_i(ji,jj) = SQRT( zdt2 + zds2 ) * zmsk(ji,jj) ! divergence at T points pdivu_i(ji,jj) = ( e2u(ji,jj) * u_ice(ji,jj) - e2u(ji-1,jj) * u_ice(ji-1,jj) & & + e1v(ji,jj) * v_ice(ji,jj) - e1v(ji,jj-1) * v_ice(ji,jj-1) & - & ) * r1_e1e2t(ji,jj) - + & ) * r1_e1e2t(ji,jj) * zmsk(ji,jj) + ! delta at T points - zfac = SQRT( pdivu_i(ji,jj) * pdivu_i(ji,jj) + ( zdt2 + zds2 ) * z1_ecc2 ) ! delta + zfac = SQRT( pdivu_i(ji,jj) * pdivu_i(ji,jj) + ( zdt2 + zds2 ) * z1_ecc2 ) * zmsk(ji,jj) ! delta rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zfac ) ) ! 0 if delta=0 pdelta_i(ji,jj) = zfac + rn_creepl * rswitch ! delta+creepl END_2D CALL lbc_lnk( 'icedyn_rhg_evp', pshear_i, 'T', 1._wp, pdivu_i, 'T', 1._wp, pdelta_i, 'T', 1._wp, zten_i, 'T', 1._wp, & & zs1 , 'T', 1._wp, zs2 , 'T', 1._wp, zs12 , 'F', 1._wp ) - + ! --- Store the stress tensor for the next time step --- ! pstress1_i (:,:) = zs1 (:,:) pstress2_i (:,:) = zs2 (:,:) @@ -785,8 +799,8 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear IF( iom_use('utau_oi') .OR. iom_use('vtau_oi') .OR. iom_use('utau_ai') .OR. iom_use('vtau_ai') .OR. & & iom_use('utau_bi') .OR. iom_use('vtau_bi') ) THEN ! - CALL lbc_lnk( 'icedyn_rhg_evp', ztaux_oi, 'U', -1.0_wp, ztauy_oi, 'V', -1.0_wp, & - & ztaux_ai, 'U', -1.0_wp, ztauy_ai, 'V', -1.0_wp, & + CALL lbc_lnk( 'icedyn_rhg_evp', ztaux_oi, 'U', -1.0_wp, ztauy_oi, 'V', -1.0_wp, & + & ztaux_ai, 'U', -1.0_wp, ztauy_ai, 'V', -1.0_wp, & & ztaux_bi, 'U', -1.0_wp, ztauy_bi, 'V', -1.0_wp ) ! CALL iom_put( 'utau_oi' , ztaux_oi * zmsk00 ) @@ -796,40 +810,41 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear CALL iom_put( 'utau_bi' , ztaux_bi * zmsk00 ) CALL iom_put( 'vtau_bi' , ztauy_bi * zmsk00 ) ENDIF - + ! --- divergence, shear and strength --- ! IF( iom_use('icediv') ) CALL iom_put( 'icediv' , pdivu_i * zmsk00 ) ! divergence IF( iom_use('iceshe') ) CALL iom_put( 'iceshe' , pshear_i * zmsk00 ) ! shear IF( iom_use('icestr') ) CALL iom_put( 'icestr' , strength * zmsk00 ) ! strength + IF( iom_use('icedlt') ) CALL iom_put( 'icedlt' , pdelta_i * zmsk00 ) ! delta ! --- Stress tensor invariants (SIMIP diags) --- ! IF( iom_use('normstr') .OR. iom_use('sheastr') ) THEN ! ALLOCATE( zsig_I(jpi,jpj) , zsig_II(jpi,jpj) ) - ! - DO_2D( 1, 1, 1, 1 ) - + ! + DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) + ! Ice stresses ! sigma1, sigma2, sigma12 are some useful recombination of the stresses (Hunke and Dukowicz MWR 2002, Bouillon et al., OM2013) ! These are NOT stress tensor components, neither stress invariants, neither stress principal components ! I know, this can be confusing... - zfac = strength(ji,jj) / ( pdelta_i(ji,jj) + rn_creepl ) + zfac = strength(ji,jj) / ( pdelta_i(ji,jj) + rn_creepl ) zsig1 = zfac * ( pdivu_i(ji,jj) - pdelta_i(ji,jj) ) zsig2 = zfac * z1_ecc2 * zten_i(ji,jj) zsig12 = zfac * z1_ecc2 * pshear_i(ji,jj) - + ! Stress invariants (sigma_I, sigma_II, Coon 1974, Feltham 2008) - zsig_I (ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure - zsig_II(ji,jj) = SQRT ( MAX( 0._wp, zsig2 * zsig2 * 0.25_wp + zsig12 ) ) ! 2nd '' '', aka maximum shear stress - - END_2D + zsig_I (ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure + zsig_II(ji,jj) = SQRT ( zsig2 * zsig2 * 0.25_wp + zsig12 * zsig12 ) ! 2nd '' '' , aka maximum shear stress + + END_2D ! ! Stress tensor invariants (normal and shear stress N/m) - SIMIP diags - definitions following Coon (1974) and Feltham (2008) IF( iom_use('normstr') ) CALL iom_put( 'normstr', zsig_I (:,:) * zmsk00(:,:) ) ! Normal stress IF( iom_use('sheastr') ) CALL iom_put( 'sheastr', zsig_II(:,:) * zmsk00(:,:) ) ! Maximum shear stress - + DEALLOCATE ( zsig_I, zsig_II ) - + ENDIF ! --- Normalized stress tensor principal components --- ! @@ -838,33 +853,33 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear ! Recommendation 2 : need to use deformations at PREVIOUS iterate for viscosities IF( iom_use('sig1_pnorm') .OR. iom_use('sig2_pnorm') ) THEN ! - ALLOCATE( zsig1_p(jpi,jpj) , zsig2_p(jpi,jpj) , zsig_I(jpi,jpj) , zsig_II(jpi,jpj) ) - ! - DO_2D( 1, 1, 1, 1 ) - - ! Ice stresses computed with **viscosities** (delta, p/delta) at **previous** iterates + ALLOCATE( zsig1_p(jpi,jpj) , zsig2_p(jpi,jpj) , zsig_I(jpi,jpj) , zsig_II(jpi,jpj) ) + ! + DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) + + ! Ice stresses computed with **viscosities** (delta, p/delta) at **previous** iterates ! and **deformations** at current iterates ! following Lemieux & Dupont (2020) zfac = zp_delt(ji,jj) zsig1 = zfac * ( pdivu_i(ji,jj) - ( zdelta(ji,jj) + rn_creepl ) ) zsig2 = zfac * z1_ecc2 * zten_i(ji,jj) zsig12 = zfac * z1_ecc2 * pshear_i(ji,jj) - + ! Stress invariants (sigma_I, sigma_II, Coon 1974, Feltham 2008), T-point - zsig_I(ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure - zsig_II(ji,jj) = SQRT ( MAX( 0._wp, zsig2 * zsig2 * 0.25_wp + zsig12 ) ) ! 2nd '' '', aka maximum shear stress - + zsig_I(ji,jj) = zsig1 * 0.5_wp ! 1st stress invariant, aka average normal stress, aka negative pressure + zsig_II(ji,jj) = SQRT ( zsig2 * zsig2 * 0.25_wp + zsig12 * zsig12 ) ! 2nd '' '' , aka maximum shear stress + ! Normalized principal stresses (used to display the ellipse) z1_strength = 1._wp / MAX( 1._wp, strength(ji,jj) ) zsig1_p(ji,jj) = ( zsig_I(ji,jj) + zsig_II(ji,jj) ) * z1_strength zsig2_p(ji,jj) = ( zsig_I(ji,jj) - zsig_II(ji,jj) ) * z1_strength - END_2D + END_2D ! - CALL iom_put( 'sig1_pnorm' , zsig1_p ) - CALL iom_put( 'sig2_pnorm' , zsig2_p ) + IF( iom_use('sig1_pnorm') ) CALL iom_put( 'sig1_pnorm' , zsig1_p(:,:) * zmsk00(:,:) ) + IF( iom_use('sig2_pnorm') ) CALL iom_put( 'sig2_pnorm' , zsig2_p(:,:) * zmsk00(:,:) ) DEALLOCATE( zsig1_p , zsig2_p , zsig_I, zsig_II ) - + ENDIF ! --- SIMIP --- ! @@ -909,7 +924,7 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & zdiag_xatrp , 'U', -1.0_wp, zdiag_yatrp , 'V', -1.0_wp ) CALL iom_put( 'xmtrpice' , zdiag_xmtrp_ice ) ! X-component of sea-ice mass transport (kg/s) - CALL iom_put( 'ymtrpice' , zdiag_ymtrp_ice ) ! Y-component of sea-ice mass transport + CALL iom_put( 'ymtrpice' , zdiag_ymtrp_ice ) ! Y-component of sea-ice mass transport CALL iom_put( 'xmtrpsnw' , zdiag_xmtrp_snw ) ! X-component of snow mass transport (kg/s) CALL iom_put( 'ymtrpsnw' , zdiag_ymtrp_snw ) ! Y-component of snow mass transport CALL iom_put( 'xatrp' , zdiag_xatrp ) ! X-component of ice area transport @@ -931,17 +946,15 @@ SUBROUTINE ice_dyn_rhg_evp( kt, Kmm, pstress1_i, pstress2_i, pstress12_i, pshear & ABS( v_ice(:,:) - zv_ice(:,:) ) * vmask(:,:,1) ) * zmsk15(:,:) ) ENDIF ENDIF - ENDIF - ! - DEALLOCATE( zmsk00, zmsk15 ) + ENDIF ! END SUBROUTINE ice_dyn_rhg_evp - SUBROUTINE rhg_cvg( kt, kiter, kitermax, pu, pv, pub, pvb ) + SUBROUTINE rhg_cvg( kt, kiter, kitermax, pu, pv, pub, pvb, pmsk15 ) !!---------------------------------------------------------------------- !! *** ROUTINE rhg_cvg *** - !! + !! !! ** Purpose : check convergence of oce rheology !! !! ** Method : create a file ice_cvg.nc containing the convergence of ice velocity @@ -949,18 +962,22 @@ SUBROUTINE rhg_cvg( kt, kiter, kitermax, pu, pv, pub, pvb ) !! uice_cvg = MAX( u(t+1) - u(t) , v(t+1) - v(t) ) !! This routine is called every sub-iteration, so it is cpu expensive !! - !! ** Note : for the first sub-iteration, uice_cvg is set to 0 (too large otherwise) + !! ** Note : for the first sub-iteration, uice_cvg is set to 0 (too large otherwise) !!---------------------------------------------------------------------- INTEGER , INTENT(in) :: kt, kiter, kitermax ! ocean time-step index REAL(wp), DIMENSION(:,:), INTENT(in) :: pu, pv, pub, pvb ! now and before velocities + REAL(wp), DIMENSION(:,:), INTENT(in) :: pmsk15 !! INTEGER :: it, idtime, istatus INTEGER :: ji, jj ! dummy loop indices - REAL(wp) :: zresm ! local real + REAL(wp) :: zresm ! local real CHARACTER(len=20) :: clname - REAL(wp), DIMENSION(jpi,jpj) :: zres ! check convergence + LOGICAL :: ll_maxcvg + REAL(wp), DIMENSION(jpi,jpj,2) :: zres + REAL(wp), DIMENSION(2) :: ztmp !!---------------------------------------------------------------------- - + ll_maxcvg = .FALSE. + ! ! create file IF( kt == nit000 .AND. kiter == 1 ) THEN ! @@ -975,47 +992,51 @@ SUBROUTINE rhg_cvg( kt, kiter, kitermax, pu, pv, pub, pvb ) IF( .NOT. Agrif_Root() ) clname = TRIM(Agrif_CFixed())//"_"//TRIM(clname) istatus = NF90_CREATE( TRIM(clname), NF90_CLOBBER, ncvgid ) istatus = NF90_DEF_DIM( ncvgid, 'time' , NF90_UNLIMITED, idtime ) - istatus = NF90_DEF_VAR( ncvgid, 'uice_cvg', NF90_DOUBLE , (/ idtime /), nvarid ) + istatus = NF90_DEF_VAR( ncvgid, 'uice_cvg', NF90_DOUBLE , (/ idtime /), nvarid ) istatus = NF90_ENDDEF(ncvgid) ENDIF ! ENDIF ! time - it = ( kt - 1 ) * kitermax + kiter - + it = ( kt - nit000 ) * kitermax + kiter + ! convergence IF( kiter == 1 ) THEN ! remove the first iteration for calculations of convergence (always very large) zresm = 0._wp ELSE - DO_2D( 1, 1, 1, 1 ) - zres(ji,jj) = MAX( ABS( pu(ji,jj) - pub(ji,jj) ) * umask(ji,jj,1), & - & ABS( pv(ji,jj) - pvb(ji,jj) ) * vmask(ji,jj,1) ) * zmsk15(ji,jj) - END_2D - - ! cut of the boundary of the box (forced velocities) - IF (mjg(jj)<=30 .or. mjg(jj)>970 .or. mig(ji)<=30 .or. mig(ji)>970) THEN - zres(ji,jj) = 0._wp - END IF - - zresm = MAXVAL( zres ) - CALL mpp_max( 'icedyn_rhg_evp', zresm ) ! max over the global domain + zresm = 0._wp + IF( ll_maxcvg ) THEN ! error max over the domain + DO_2D( 0, 0, 0, 0 ) + zresm = MAX( zresm, MAX( ABS( pu(ji,jj) - pub(ji,jj) ) * umask(ji,jj,1), & + & ABS( pv(ji,jj) - pvb(ji,jj) ) * vmask(ji,jj,1) ) * pmsk15(ji,jj) ) + END_2D + CALL mpp_max( 'icedyn_rhg_evp', zresm ) + ELSE ! error averaged over the domain + DO_2D( 0, 0, 0, 0 ) + zres(ji,jj,1) = MAX( ABS( pu(ji,jj) - pub(ji,jj) ) * umask(ji,jj,1), & + & ABS( pv(ji,jj) - pvb(ji,jj) ) * vmask(ji,jj,1) ) * pmsk15(ji,jj) + zres(ji,jj,2) = pmsk15(ji,jj) + END_2D + ztmp(:) = glob_sum_vec( 'icedyn_rhg_evp', zres ) + IF( ztmp(2) /= 0._wp ) zresm = ztmp(1) / ztmp(2) + ENDIF ENDIF IF( lwm ) THEN ! write variables istatus = NF90_PUT_VAR( ncvgid, nvarid, (/zresm/), (/it/), (/1/) ) ! close file - IF( kt == nitend - nn_fsbc + 1 ) istatus = NF90_CLOSE(ncvgid) + IF( kt == nitend - nn_fsbc + 1 .AND. kiter == kitermax ) istatus = NF90_CLOSE(ncvgid) ENDIF - + END SUBROUTINE rhg_cvg SUBROUTINE rhg_evp_rst( cdrw, kt ) !!--------------------------------------------------------------------- !! *** ROUTINE rhg_evp_rst *** - !! + !! !! ** Purpose : Read or write RHG file in restart file !! !! ** Method : use of IOM library @@ -1059,15 +1080,86 @@ SUBROUTINE rhg_evp_rst( cdrw, kt ) IF(lwp) WRITE(numout,*) '---- rhg-rst ----' iter = kt + nn_fsbc - 1 ! ice restarts are written at kt == nitrst - nn_fsbc + 1 ! - CALL iom_rstput( iter, nitrst, numriw, 'stress1_i' , stress1_i ) - CALL iom_rstput( iter, nitrst, numriw, 'stress2_i' , stress2_i ) + CALL iom_rstput( iter, nitrst, numriw, 'stress1_i' , stress1_i ) + CALL iom_rstput( iter, nitrst, numriw, 'stress2_i' , stress2_i ) CALL iom_rstput( iter, nitrst, numriw, 'stress12_i', stress12_i ) ! ENDIF ! END SUBROUTINE rhg_evp_rst - + SUBROUTINE rhg_upstream( jter, pdt, pu, pv, pt ) + !!--------------------------------------------------------------------- + !! *** ROUTINE rhg_upstream *** + !! + !! ** Purpose : compute the upstream fluxes and upstream guess of tracer + !!---------------------------------------------------------------------- + INTEGER , INTENT(in ) :: jter + REAL(wp) , INTENT(in ) :: pdt ! tracer time-step + REAL(wp), DIMENSION(:,: ) , INTENT(in ) :: pu, pv ! 2 ice velocity components + REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pt ! tracer fields + ! + INTEGER :: ji, jj, jl ! dummy loop indices + REAL(wp) :: ztra ! local scalar + LOGICAL :: ll_upsxy = .TRUE. + REAL(wp), DIMENSION(jpi,jpj) :: zfu_ups, zfv_ups, zpt ! upstream fluxes and tracer guess + !!---------------------------------------------------------------------- + DO jl = 1, jpl + IF( .NOT. ll_upsxy ) THEN !** no alternate directions **! + ! + DO_2D( nn_hls, nn_hls-1, nn_hls, nn_hls-1 ) + zfu_ups(ji,jj) = MAX(pu(ji,jj)*e2u(ji,jj), 0._wp) * pt(ji,jj,jl) + MIN(pu(ji,jj)*e2u(ji,jj), 0._wp) * pt(ji+1,jj,jl) + zfv_ups(ji,jj) = MAX(pv(ji,jj)*e1v(ji,jj), 0._wp) * pt(ji,jj,jl) + MIN(pv(ji,jj)*e1v(ji,jj), 0._wp) * pt(ji,jj+1,jl) + END_2D + ! + ELSE !** alternate directions **! + ! + IF( MOD(jter,2) == 1 ) THEN !== odd ice time step: adv_x then adv_y ==! + ! + DO_2D( nn_hls, nn_hls-1, nn_hls, nn_hls ) !-- flux in x-direction + zfu_ups(ji,jj) = MAX( pu(ji,jj)*e2u(ji,jj), 0._wp ) * pt(ji ,jj,jl) + & + & MIN( pu(ji,jj)*e2u(ji,jj), 0._wp ) * pt(ji+1,jj,jl) + END_2D + ! + DO_2D( nn_hls-1, nn_hls-1, nn_hls, nn_hls ) !-- first guess of tracer from u-flux + ztra = - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) ) + zpt(ji,jj) = ( pt(ji,jj,jl) + ztra * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) + END_2D + ! + DO_2D( nn_hls-1, nn_hls-1, nn_hls, nn_hls-1 ) !-- flux in y-direction + zfv_ups(ji,jj) = MAX( pv(ji,jj)*e1v(ji,jj), 0._wp ) * zpt(ji,jj ) + & + & MIN( pv(ji,jj)*e1v(ji,jj), 0._wp ) * zpt(ji,jj+1) + END_2D + ! + ELSE !== even ice time step: adv_y then adv_x ==! + ! + DO_2D( nn_hls, nn_hls, nn_hls, nn_hls-1 ) !-- flux in y-direction + zfv_ups(ji,jj) = MAX( pv(ji,jj)*e1v(ji,jj), 0._wp ) * pt(ji,jj ,jl) + & + & MIN( pv(ji,jj)*e1v(ji,jj), 0._wp ) * pt(ji,jj+1,jl) + END_2D + ! + DO_2D( nn_hls, nn_hls, nn_hls-1, nn_hls-1 ) !-- first guess of tracer from v-flux + ztra = - ( zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) + zpt(ji,jj) = ( pt(ji,jj,jl) + ztra * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) + END_2D + ! + DO_2D( nn_hls, nn_hls-1, nn_hls-1, nn_hls-1 ) !-- flux in x-direction + zfu_ups(ji,jj) = MAX( pu(ji,jj)*e2u(ji,jj), 0._wp ) * zpt(ji ,jj) + & + & MIN( pu(ji,jj)*e2u(ji,jj), 0._wp ) * zpt(ji+1,jj) + END_2D + ! + ENDIF + ! + ENDIF + ! + DO_2D( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 ) + ztra = - ( zfu_ups(ji,jj) - zfu_ups(ji-1,jj) + zfv_ups(ji,jj) - zfv_ups(ji,jj-1) ) + pt(ji,jj,jl) = ( pt(ji,jj,jl) + ztra * pdt * r1_e1e2t(ji,jj) ) * tmask(ji,jj,1) + END_2D + END DO + ! + END SUBROUTINE rhg_upstream + #else !!---------------------------------------------------------------------- !! Default option Empty module NO SI3 sea-ice model diff --git a/ICE_RHEO/MY_SRC/usrdef_zgr.F90 b/ICE_RHEO/MY_SRC/usrdef_zgr.F90 index 096e524..7c295aa 100644 --- a/ICE_RHEO/MY_SRC/usrdef_zgr.F90 +++ b/ICE_RHEO/MY_SRC/usrdef_zgr.F90 @@ -14,6 +14,7 @@ MODULE usrdef_zgr !!--------------------------------------------------------------------- USE oce ! ocean variables USE usrdef_nam ! User defined : namelist variables + USE dom_oce , ONLY : mig, mjg ! USE in_out_manager ! I/O manager USE lbclnk ! ocean lateral boundary conditions (or mpp link) @@ -24,6 +25,8 @@ MODULE usrdef_zgr PUBLIC usr_def_zgr ! called by domzgr.F90 + !! * Substitutions +# include "do_loop_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/OCE 4.0 , NEMO Consortium (2018) !! $Id: usrdef_zgr.F90 10074 2018-08-28 16:15:49Z nicolasmartin $ @@ -53,6 +56,7 @@ SUBROUTINE usr_def_zgr( ld_zco , ld_zps , ld_sco , ld_isfcav, & ! type o INTEGER , DIMENSION(:,:) , INTENT(out) :: k_top, k_bot ! first & last ocean level ! INTEGER :: jk, k_dz ! dummy indices + INTEGER :: ji, jj ! dummy loop indices !!---------------------------------------------------------------------- ! IF(lwp) WRITE(numout,*) @@ -85,6 +89,14 @@ SUBROUTINE usr_def_zgr( ld_zco , ld_zps , ld_sco , ld_isfcav, & ! type o ! ! no ocean cavities : top ocean level is ONE, except over land k_top(:,:) = 1 + + ! add island + DO_2D( 1, 1, 1, 1 ) + IF (mjg(jj)>=900000/rn_dy .and. mjg(jj)<1100000/rn_dy .and. mig(ji)>=900000/rn_dx .and. mig(ji)<1100000/rn_dx) THEN + k_top(ji,jj) = 0 + END IF + END_2D + ! ! !== z-coordinate ==! (step-like topography) ! !* bottom ocean compute from the depth of grid-points From c1bfa420a210ec97cec7abebedde8ef8e6d49e5a Mon Sep 17 00:00:00 2001 From: stefryn <43548055+stefryn@users.noreply.github.com> Date: Tue, 15 Feb 2022 13:57:51 +0000 Subject: [PATCH 3/3] Update README --- ICE_RHEO/EXPREF/README | 2 -- 1 file changed, 2 deletions(-) diff --git a/ICE_RHEO/EXPREF/README b/ICE_RHEO/EXPREF/README index 7c535ba..100a105 100644 --- a/ICE_RHEO/EXPREF/README +++ b/ICE_RHEO/EXPREF/README @@ -23,8 +23,6 @@ A range of experiments can be configured: - The ratio of the windstress component can be changed to cause different modes of failure (Rwind in usrdef_sbc.F90, default is -0.8) -It takes about 10 minutes to run a simulation on 16 processors - ---------- How to run ----------

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