Details

Autor(en) / Beteiligte

• Aïssiouene, Nora
• Bristeau, Marie-Odile
• Godlewski, Edwige
• Mangeney, Anne
• Parés, Carlos
• Sainte-Marie, Jacques
• Omnes, Pascal
• Cancès, Clément

Titel

Application of a Combined Finite Element—Finite Volume Method to a 2D Non-hydrostatic Shallow Water Problem

Ist Teil von

• Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, p.219-226

Ort / Verlag

Cham: Springer International Publishing

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We Aissiouene, Nora a numerical Bristeau, Marie-Odile for a two-Godlewski, Edwige non-hydrostatic Mangeney, Anne water Parés, CarlosSainte-Marie, Jacques topography (Bristeau et al. in Discret Contin Dyn Syst Ser B 20(4):961–988, 2015, [6]). We use a prediction-correction scheme initially introduced by Chorin-Temam (Rannacher in The Navier-Stokes equations II—theory and numerical methods. Springer, Berlin, pp 167–183, 1992, [13], and which has been applied previously to the one dimensional problem in Aïssiouene (Numerical analysis and discrete approximation of a dispersive shallow water model, 2016, [1]). The prediction part leads to solving a shallow water system for which we use finite volume methods (Audusse and Bristeau in J Comput Phys 206(1):311–333, 2005, [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.