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Numerical hydrodynamics from gas-kinetic theory. (English) Zbl 0791.76059

We present a new hydrodynamics code, based on the solution of the Bhatnagar-Gross-Krook model of the Boltzmann equation. The basic idea is to construct an approximate, locally valid solution of a set of nonlinear integral equations for the equilibrium Maxwell-Boltzmann distribution, and use this solution to solve the BGK equation for the velocity distribution function at cell walls. Our code appears to behave as well as current high-order difference schemes at shocks and to give better results for rarefaction waves.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
76L05 Shock waves and blast waves in fluid mechanics

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