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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https://hal.inria.fr/inria-00551484
Contributor : Jacques Sainte-Marie <>
Submitted on : Monday, January 3, 2011 - 7:13:26 PM
Last modification on : Thursday, February 7, 2019 - 4:59:26 PM

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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, World Scientific Publishing, 2011, 21, pp.459-490. ⟨10.1142/S0218202511005118⟩. ⟨inria-00551484⟩

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