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Pseudo-compressibility, dispersive model and acoustic waves in shallow water flows
Abstract : 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.
Cited literature [22 references]
https://hal.inria.fr/hal-02493518
Contributor : Jacques Sainte-Marie <>
Submitted on : Friday, May 29, 2020 - 3:20:12 PM
Last modification on : Wednesday, June 2, 2021 - 4:26:58 PM
Contributor : Jacques Sainte-Marie <>
Submitted on : Friday, May 29, 2020 - 3:20:12 PM
Last modification on : Wednesday, June 2, 2021 - 4:26:58 PM
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