De. Dietrich et Ds. Ko, A SEMI-COLLOCATED OCEAN MODEL-BASED ON THE SOMS APPROACH, International journal for numerical methods in fluids, 19(12), 1994, pp. 1103-1113
In application to the Gulf of Mexico (GOM), a new DieCAST ocean model,
which uses a modified Arakawa 'a' grid, and the SOMS model, which use
s an Arakawa 'c' grid, give remarkably similar results. The new model
avoids 'null space' problems of the standard 'a' grid approach by firs
t using fourth-order interpolations to a 'c' grid advection velocity,
then applying incompressibility to the result. Accuracy is further imp
roved by using fourth-order pressure gradient approximations at 'a' gr
id locations. Incompressibility with general geometry is satisfied eff
iciently by a fast-converging iteration with a regular geometry ellipt
ic solver. Results are compared with satellite-measured r.m.s. sea sur
face elevation anomaly and detailed front structures, climatological m
ean thermocline and empirical orthogonal functions and other observati
ons.