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Numerical approximation of the 3D hydrostatic Navier-Stokes system with free surface

Allgeyer, Sebastien; Bristeau, Marie-Odile; Froger, David; Hamouda, Raouf; Jauzein, V.; Mangeney, Anne; Sainte-Marie, Jacques; Souille, Fabien; Vallee, Martin


In this paper we propose a stable and robust strategy to approximate the 3D incompressible hydrostatic Euler and Navier–Stokes systems with free surface. Compared to shallow water approximation of the Navier–Stokes system, the idea is to use a Galerkin type approximation of the velocity field with piecewise constant basis functions in order to obtain an accurate description of the vertical profile of the horizontal velocity. Such a strategy has several advantages. It allows – to rewrite the...[Show more]

CollectionsANU Research Publications
Date published: 2019
Type: Journal article
Source: ESAIM: Mathematical Modelling and Numerical Analysis
DOI: 10.1051/m2an/2019044
Access Rights: Open Access


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