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Barotropic-baroclinic time splitting for ocean circulation modeling. (English) Zbl 0888.76055
We develop a new splitting procedure by using nonlinear primitive equations. We analyze the stability of this splitting when applied to a linearized flow in a two-layer fluid with one horizontal dimension and a flat lower boundary. Then we extend this analysis to the case of two horizontal dimensions in a rotating reference frame with constant Coriolis parameter. Some numerical tests of the new splitting are described.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76U05 General theory of rotating fluids
86A05 Hydrology, hydrography, oceanography
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