Application of a combined finite element -finite volume method to a 2D non-hydrostatic shallow water problem - Archive ouverte HAL Access content directly
Conference Papers Year : 2017

Application of a combined finite element -finite volume method to a 2D non-hydrostatic shallow water problem

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Abstract

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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Dates and versions

hal-01664481 , version 1 (14-12-2017)

Identifiers

  • HAL Id : hal-01664481 , version 1

Cite

Nora Aissiouene, Marie-Odile Bristeau, Edwige Godlewski, Anne Mangeney, Carlos Parés, et al.. Application of a combined finite element -finite volume method to a 2D non-hydrostatic shallow water problem. FVCA 8, Jun 2017, Lille, France. pp.219-226. ⟨hal-01664481⟩
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