A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation (Q2836472)
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scientific article; zbMATH DE number 6183199
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation |
scientific article; zbMATH DE number 6183199 |
Statements
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation (English)
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3 July 2013
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Navier-Stokes equations
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Saint-Venant equations
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free surface
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multilayer system
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kinetic scheme
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The main purpose of this paper is to derive a new multilayer Saint-Venant model where the unknowns are a total height of water and an average velocity per layer. This model deals with the total height of water, which leads to a global continuity equations and allows mass exchanges between layers. Then the main properties of the multilayer model are presented, and a kinetic interpretation of this model leads to a effective numerical scheme with positivity and energy properties. Some numerical analysis are given.
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