Mathematical translation needed between MPAS-Ocean's and Omega's linear EOS #406
Description
MPAS-Ocean defines the linear equation of state in terms of 5 parameters:
https://github.com/E3SM-Project/E3SM/blob/85436232ad8da7c558dd581f50e63a4de31af127/components/mpas-ocean/src/shared/mpas_ocn_equation_of_state_linear.F#L180-L186
https://github.com/E3SM-Project/E3SM/blob/master/components/mpas-ocean/src/Registry.xml#L1443-L1464
Omega uses only 3:
We will need to translate:
RhoT0S0 = config_eos_linear_densityref + config_eos_linear_alpha * config_eos_linear_Tref - config_eos_linear_beta * config_eos_linear_Sref