Some progress in lattice Boltzmann method .1. Nonuniform mesh grids

A new lattice Boltzmann algorithm is proposed to simulate the Navier-Stokes equation on arbitrary nonuniform mesh grids. The new algorithm retains the advantages of the lattice Boltzmann method: parallel of algorithm, ease of programming. and ability to incorporate microscopic interactions. A simulation of flow in a two-dimensional symmetric channel with sudden expansion is carried out using the new algorithm on a nonuniform mesh. The results of the simulation are in excellent agreement with previous experimental and numerical results. (C) 1996 Academic Press, Inc.