Solving the Boltzmann equation on GPUs

We present algorithms specifically tailored for solving kinetic equations onto graphics processing units. Unlike particle methods, the proposed methods of solution are ideally suited for solving the unsteady low speed flows which typically occur in MEMS containing oscillating components. The efficiency of the algorithms is demonstrated by solving the two-dimensional low Mach number driven cavity flow of a monatomic gas. Computational results show that it is possible to cut down the computing time of the sequential codes up to two order of magnitudes. The algorithms can easily be extended to three-dimensional flows and to non-equilibrium flows of mixtures.