Simulations of Three-dimensional Cavity Flows with Multi Relaxation Time Lattice Boltzmann Method and Graphic Processing Units

Three-dimensional square cavity flows are simulated using multi-relaxation lattice Boltzmann method and graphic processing units. It was found that transition takes place between 1700 < Re < 2000. Parallel computations are conducted on a single node multi graphic processing unit (GPU) system, consisting of three nVIDIA M2070 or GTX560 devices using OpenMP. Results show that the speedup performance is strongly dependent on problem size and the precision adopted. For single precision computation with 2403 grid density, about 159 times speedup can be obtained, while for double precision computation, this is slightly degraded to 112. Both are achieved with three Tesla M2070.