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| HAL: inria-00551484, version 1 |
| DOI: 10.1142/S0218202511005118 |
| See detailed view |  BibTeX,EndNote,... |
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| Mathematical Models and Methods in Applied Sciences 21 (2011) 459-490 |
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| Vertically averaged models for the free surface Euler system. Derivation and kinetic interpretation. |
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| Jacques Sainte-Marie 1, 2 |
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| (2011) |
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| 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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| 1: | Laboratoire d'Hydraulique Saint-Venant / Saint-Venant Laboratory for Hydraulics (Saint-Venant) |
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Université Paris-Est Créteil Val-de-Marne (UPEC) – Ecole des Ponts ParisTech – EDF – CETMEF |
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| 2: | MACS (INRIA Rocquencourt) |
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INRIA |
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| Domain | : | Mathematics/Numerical Analysis |
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| Navier␣Stokes equations – Euler equations – Saint-Venant equations – free surface °ows – dispersive terms – kinetic interpretation. |
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| inria-00551484, version 1 | |
| http://hal.inria.fr/inria-00551484 | |
| oai:hal.inria.fr:inria-00551484 | |
| From: Jacques Sainte-Marie | |
| Submitted on: Monday, 3 January 2011 19:13:26 | |
| Updated on: Thursday, 22 December 2011 15:05:13 | |
