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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.

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