Acceleration of lattice-BGK schemes with grid refinement

The LBGK method with local grid refinement has been shown to be an efficien t and accurate tool for the simulation of incompressible, viscous flows ove r complex geometries. In the present study, further improvement of this con cept is proposed, enabling the use of smaller amount of time steps on refin ed grids without impairing the spatial or temporal accuracy. This extension of the LBGK method has been proved by analytical and numerical investigati ons. The gain in computational time was found to be significant. (C) 2000 A cademic Press.