Grid refinement for lattice-BGK models

Lattice-Boltzmann models, proposed at the end of the 1980s as the noise-free version of lattice-gas models, are based on gas-kinetic representation of fluid flow. Their recent modifications, the lattice BGK models, provide especially simple, effective and stable algorithms for the solution of hydrodynamical problems. A local second-order grid refinement scheme for the lattice-BGK model is proposed in this work. The refinement scheme and a boundary-fitting scheme for complicated geometries are applied to simulate a benchmark problem of flow past a cylinder in a channel with small and moderate Reynolds numbers. (C) 1998 Academic Press.