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Stable split time stepping schemes for large-scale ocean modeling. (English) Zbl 0889.76044
It has recently been demonstrated for the title problem that an inexact splitting into the fast and slow equations can lead to instability in the explicit integration of the slow equations. Here a more exact splitting of the equations is proposed. The proposed split time stepping scheme is demonstrated to be stable for linear inertia-gravity waves, subject to a time step limit based on the inertial frequency and internal gravity wave speeds.

76M20 Finite difference methods applied to problems in fluid mechanics
86A05 Hydrology, hydrography, oceanography
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