Titre : Pseudo-compressibility, dispersive model and acoustic waves in shallow water flows
Année : 2021
Type : article (revue avec comité de lecture)
Auteurs : A.-S. Bonnet-BenDhia, M.-O. Bristeau, E. Godlewski, S. Imperiale, A. Mangeney, J. Sainte-Marie
Résumé : In this paper we study a dispersive shallow water type model derived from the free surface compressible Navier-Stokes system. The compressible effects allow to capture the acoustic-like waves propagation and can be seen as a relaxation of an underlying incompressible model. The first interest of such a model is thus to capture both acoustic and water waves. The second interest lies in its numerical approximation. Indeed, at the discrete level, the pseudo-compressibility terms circumvent the resolution of an elliptic equation to capture the non-hydrostatic part of the pressure. This drastically reduces the cost of the numerical resolution of dispersive models especially in 2d and 3d.
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Référence : SEMA SIMAI Springer Series (pp 209--250 )