Stable lattice Boltzmann scheme for a moving Burgers shock wave

Details Stable lattice Boltzmann scheme for a moving Burgers shock wave Stable lattice Boltzmann scheme for a moving Burgers shock wave

2010-12-09

arxiv.org/abs/1012.2094v1

Mathematics

Numerical Analysis

Scientific paper

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.

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