Acceleration of Lattice-BGK Schemes with Grid Refinement

The LBGK method with local grid refinement has been shown to be an efficient and accurate tool for the simulation of incompressible, viscous flows over complex geometries. In the present study, further improvement of this concept is proposed, enabling the use of smaller amount of time steps on refined grids without impairing the spatial or temporal accuracy. This extension of the LBGK method has been proved by analytical and numerical investigations. The gain in computational time was found to be significant.