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The performance of implicit ocean models on B- and C-grids. (English) Zbl 1083.86002
Summary: Fully-implicit primitive equation ocean models are useful to study the sensitivity of steady ocean flows to parameters, to determine bifurcations of these flows associated with instabilities and to use relatively large time steps in transient flow computations. This paper addresses a problem related to the origin of wiggles occurring in fully-implicit C-grid models. The situation considered is the computation of three-dimensional thermally-driven steady flows in a midlatitude spherical sector. We determine the reason why in a coarse resolution C-grid implicit model, the values of the lateral friction coefficients are restricted to far higher values than for the same B-grid model. The analysis also reveals why the B-grid discretization is superior for the computation of this type of flows.

MSC:
86A05 Hydrology, hydrography, oceanography
76M12 Finite volume methods applied to problems in fluid mechanics
76E20 Stability and instability of geophysical and astrophysical flows
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
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