Application of a combined finite element -finite volume method to a 2D non-hydrostatic shallow water problem
Résumé
We propose a numerical method for a two-dimensional non-hydrostatic shallow water system with topography [6]. We use a prediction-correction scheme initially introduced by Chorin-Temam [13], and which has been applied previously to the one dimensional problem in [1]. The prediction part leads to solving a shallow water system for which we use finite volume methods [3], while the correction part leads to solving a mixed problem in velocity/pressure using a finite element method. We present an application of the method with a comparison between a hydrostatic and a non-hydrostatic model.
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