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Stable lattice Boltzmann scheme for a moving Burgers shock wave
François Dubois1

We follow the mathematical framework proposed by Bouchut in 2003 in order to derive equilibrium functions for D1Q3 lattice Boltzmann simulations of the Burgers equation. When a particular convexity property is satisfied, we observe for strong nonlinear shocks and rarefactions that the resulting scheme is numerically stable.
1:  LM-Orsay - Laboratoire de Mathématiques d'Orsay
Hyperbolic conservation laws – entropy – convex hull