Finite-Difference Lattice-BGK methods on nested grids

From a computational point of view non uniform grids can be efficient for c omputing fluid flows because the grid resolution can be adapted to the spat ial complexity of the flow problem. In this contribution an extension of th e Finite-Difference Lattice-BGK method on nested grids is presented. This a pproach is based on multiple nested lattices with increasing resolution. Ba sically, the discrete velocity Boltzmann equation is solved numerically on each sub-lattice and interpolation between the interfaces is carried out in order to couple the sub-grids consistently. Preliminary results of the met hod applied on the Taylor vortex benchmark are presented. (C) 2000 Elsevier Science B.V. All rights reserved.