Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes

François Dubois ()
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François Dubois: Conservatoire National des Arts et Métiers, Laboratoire de Mécanique des Structures et des Systèmes Couplés, F-75003, Paris, France;

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 12, 1-9

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 nonstationary two-dimensional propagation. This contribution shows the ability of vectorial lattice Boltzmann schemes to simulate strong nonlinear waves in nonstationary situations.

Keywords: Hyperbolic conservation laws; entropy; shock wave; shallow water equations; 02.70.Ns; 05.20.Dd; 47.10.+g; 47.11.+j (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0129183114410149

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