Solving model kinetic equations on GPUs

Solving Kinetic Equations on GPUs I: Model Kinetic Equations

We present an algorithm specifically tailored for solving kinetic equations onto GPUs. The efficiency of the algorithm is demonstrated by solving the one-dimensional shock wave structure problem and a two-dimensional low Mach number driven cavity flow. Computational results show that it is possible to cut down the computing time of the sequential codes of two order of magnitudes. The algorithm ...

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 cavit...

Introduction to Kinetic Model Equations

1 The BGK model 3 1.1 Basic Model Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Hydrodynamic limit of the BGKW Model . . . . . . . . . . . . . . . . . . 5 1.3 BGKW Model Applications . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.3.1 Normal shock profiles in a hard sphere gas . . . . . . . . . . . . . . 7 1.3.2 1-D heat flow in a rarefied hard sphere gas . ...

Shallow Water Equations Implemented on GPUs

On Fractional Kinetic Equations

R.K. SAXENA Department of Mathematics and Statistics, Jai Narain Vyas University Jodhpur 342001, INDIA A.M. MATHAI Department of Mathematics and Statistics, McGill University, 805 Sherbooke Street West, Montreal, CANADA H3A 2K6 H.J. HAUBOLD Office for Outer Space Affairs, United Nations, P.O. Box 500, A-1400 Vienna, AUSTRIA Abstract. The subject of this paper is to derive the solution of genera...