TrixiShallowWater.jl/examples/unstructured_2d_dgsem/elixir_shallowwater_source_terms.jl at 0ab771d520b2e104de754efb9644e726ea762e1d · trixi-framework/TrixiShallowWater.jl · GitHub

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using Downloads: download
using OrdinaryDiffEq
using Trixi
using TrixiShallowWater

###############################################################################
# semidiscretization of the shallow water equations with a periodic
# bottom topography function (set in the initial conditions)

equations = ShallowWaterEquationsWetDry2D(gravity_constant = 9.81)

initial_condition = initial_condition_convergence_test

###############################################################################
# Get the DG approximation space

volume_flux = (flux_wintermeyer_etal, flux_nonconservative_wintermeyer_etal)
surface_flux = (flux_fjordholm_etal, flux_nonconservative_fjordholm_etal)
solver = DGSEM(polydeg = 6, surface_flux = surface_flux,
               volume_integral = VolumeIntegralFluxDifferencing(volume_flux))

###############################################################################
# This setup is for the curved, split form convergence test on a periodic domain

# Get the unstructured quad mesh from a file (downloads the file if not available locally)
default_mesh_file = joinpath(@__DIR__, "mesh_alfven_wave_with_twist_and_flip.mesh")
isfile(default_mesh_file) ||
    download("https://gist.githubusercontent.com/andrewwinters5000/8f8cd23df27fcd494553f2a89f3c1ba4/raw/85e3c8d976bbe57ca3d559d653087b0889535295/mesh_alfven_wave_with_twist_and_flip.mesh",
             default_mesh_file)
mesh_file = default_mesh_file

mesh = UnstructuredMesh2D(mesh_file, periodicity = true)

# Create the semi discretization object
semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver,
                                    source_terms = source_terms_convergence_test)

###############################################################################
# ODE solvers, callbacks etc.

tspan = (0.0, 1.0)
ode = semidiscretize(semi, tspan)

summary_callback = SummaryCallback()

analysis_interval = 100
analysis_callback = AnalysisCallback(semi, interval = analysis_interval)

alive_callback = AliveCallback(analysis_interval = analysis_interval)

save_solution = SaveSolutionCallback(interval = 100,
                                     save_initial_solution = true,
                                     save_final_solution = true)

stepsize_callback = StepsizeCallback(cfl = 1.0)

callbacks = CallbackSet(summary_callback, analysis_callback, alive_callback, save_solution,
                        stepsize_callback)

###############################################################################
# run the simulation

sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false);
            dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback
            ode_default_options()..., callback = callbacks);
summary_callback() # print the timer summary