Vertically averaged models for the free surface Euler system. Derivation and kinetic interpretation. - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Mathematical Models and Methods in Applied Sciences Year : 2011

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

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.
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Dates and versions

inria-00551484 , version 1 (03-01-2011)

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Jacques Sainte-Marie. Vertically averaged models for the free surface Euler system. Derivation and kinetic interpretation.. Mathematical Models and Methods in Applied Sciences, 2011, 21, pp.459-490. ⟨10.1142/S0218202511005118⟩. ⟨inria-00551484⟩
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