Vertically averaged models for the free surface Euler system. Derivation and kinetic interpretation. - Archive ouverte HAL 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.

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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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