Vertically averaged models for the free surface Euler system. Derivation and kinetic interpretation.

Jacques Sainte-Marie

doi:10.1142/S0218202511005118

Journal articles

Vertically averaged models for the free surface Euler system. Derivation and kinetic interpretation.

Jacques Sainte-Marie ^{1, 2}

1 Saint-Venant - Laboratoire d'Hydraulique Saint-Venant / Saint-Venant Laboratory for Hydraulics

2 MACS - Modeling, analysis and control in computational structural dynamics

Inria Paris-Rocquencourt

Abstract : Starting from the Euler equations for incompressible flows, we propose an extension of the classical Saint-Venant system where the non-hydrostatic pressure terms are taken into account in the asymptotic expansion. We also derive a multilayer version of this vertically averaged Euler system. The multilayer approach allows mass exchanges between the neighboring layers. Finally we give a kinetic type interpretation for the proposed models.

Keywords : Navier␣Stokes equations Euler equations Saint-Venant equations free surface °ows dispersive terms kinetic interpretation.

Document type :

Journal articles

Domain :

Mathematics [math] / Numerical Analysis [math.NA]

Complete list of metadatas

https://hal.inria.fr/inria-00551484
Contributor : Jacques Sainte-Marie <>
Submitted on : Monday, January 3, 2011 - 7:13:26 PM
Last modification on : Friday, October 2, 2020 - 11:00:06 AM

Vertically averaged models for the free surface Euler system. Derivation and kinetic interpretation.

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Vertically averaged models for the free surface Euler system. Derivation and kinetic interpretation.

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