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1 LM-Orsay - Laboratoire de Mathématiques d-Orsay 2 LMSSC - Laboratoire de Mécanique des Structures et des Systèmes Couplés

Abstract : We show that a hyperbolic system with a mathematical entropy can be discretized with vectorial lattice Boltzmann schemes using the methodology of kinetic representation of the dual entropy.
We test this approach for the shallow water equations in one and two spatial dimensions.
We obtain interesting results for a shock tube, reflection of a shock wave and non-stationary two-dimensional propagation.
This contribution shows the ability of vectorial lattice Boltzmann schemes to simulate strong nonlinear waves in non-stationary situations.


Keywords : hyperbolic conservation laws entropy shock wave shallow water equations





Author: François Dubois -

Source: https://hal.archives-ouvertes.fr/



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