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Finite difference lattice-BGK methods on nested grids. (English) Zbl 0976.76067
Summary: From a computational point of view, non-uniform grids can be efficient for computing fluid flows because the grid resolution can be adapted to the spatial complexity of flow problem. Here we present an extension of the finite difference lattice BGK method on nested grids. This approach is based on multiple nested lattices with increasing resolution. Basically, the discrete velocity Boltzmann equation is solved numerically on each sublattice, and interpolation between the interfaces is carried out in order to couple the sub-grids consistently. Preliminary results are given for the Taylor vortex benchmark problem.

MSC:
76M28 Particle methods and lattice-gas methods
76M20 Finite difference methods applied to problems in fluid mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
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