Simulation of strong nonlinear waves with vectorial lattice Boltzmann\n schemes

2014/01/02 by François Dubois, Dubois, François · 4 citations
Engineering · #Lattice Boltzmann Simulation Studies #Fluid Dynamics and Turbulent Flows #Computational Fluid Dynamics and Aerodynamics

paper · pdf · doi:10.48550/arxiv.1401.0427

Abstract

We show that an hyperbolic system with a mathematical entropy can be\ndiscretized with vectorial lattice Boltzmann schemes with the methodology of\nkinetic representation of the dual entropy. We test this approach for the\nshallow water equations in one and two space dimensions. We obtain interesting\nresults for a shock tube, reflection of a shock wave and unstationary\ntwo-dimensional propagation. This contribution shows the ability of vectorial\nlattice Boltzmann schemes to simulate strong nonlinear waves in unstationary\nsituations.\n

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