Lattice-Boltzmann models, proposed at the end of the 1980s as the noise-free version of lattice-gas models are based on gas-kinetical-like representation of fluid flow. Their recent modifications, the lattice-BGK models, provide especially simple, effective and stable algorithms for the solution of incompressible flows. The boundary-fitting concept and local grid refinement proposed for the lattice-BGK model conserve the second order accuracy of the original algorithm for flows around complicated geometries in regions of small and moderate Reynolds numbers.
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Filippova et al. (1998) studied this question.
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