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Lattice Boltzmann method with regularized pre-collision distribution functions. (English) Zbl 1102.76056
Summary: An extended numerical scheme for the simulation of fluid flows by means of a lattice Boltzmann (LB) method is introduced. It is conceptually related to the lattice BGK scheme, which it enhances by a regularization step. The result is a numerical scheme that is both more accurate and more stable in the hydrodynamic regime.

MSC:
76M35 Stochastic analysis applied to problems in fluid mechanics
82C40 Kinetic theory of gases in time-dependent statistical mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
86-08 Computational methods for problems pertaining to geophysics
82D15 Statistical mechanics of liquids
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