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A Multilayer Saint-Venant Model

Emmanuel Audusse 1
1 BANG - Nonlinear Analysis for Biology and Geophysical flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
Abstract : We introduce a new variant of the multilayer Saint-Venant system. The classical Saint-Venant system is a well-known approximation of the incompressible Navier-Stokes equations for shallow water flows with free moving boundary. Its efficiency, robustness and low computational cost make it very commonly used. Nevertheless its range of application is limited and it does not allow to access to the vertical profile of the horizontal velocity. Hence and thanks to a precise analysis of the shallow water assumption we propose here a new approximation of the Navier-Stokes equations which consists in a set of coupled Saint-Venant systems, extends the range of validity and gives a precise description of the vertical profile of the horizontal velocity while preserving the computational efficiency of the classical Saint-Venant system. We validate the model through some numerical examples.
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Submitted on : Friday, May 19, 2006 - 9:30:22 PM
Last modification on : Friday, February 4, 2022 - 3:13:37 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:50:34 PM


  • HAL Id : inria-00070749, version 1


Emmanuel Audusse. A Multilayer Saint-Venant Model. [Research Report] RR-5249, INRIA. 2004, pp.35. ⟨inria-00070749⟩



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