Presented is the Uniform Equilibrium Flux Method (UEFM) extended to second order spatial accuracy and applied to Graphics Processing Unit (GPU) computation. The UEFM is an approximation of the True Direction Equilibrium Method (TDEFM), in which higher-order extension through the inclusion of gradients in primitives is very challenging due to difficulty in integrating the exponential function over space when there are temperature gradients in the flow. Since UEFM does not directly employ exponential functions-instead replacing the equilibrium velocity probability distribution function with a series of uniform step (i.e. Heaviside) step functions, no such difficulties exist in its extension to higher order accuracy. Furthermore, due to the high locality of the UEFM, the method is readily applied to GPU acceleration. No communication with the host is required due to the exclusive use of the GPU for all flux and state computations. In increase in overall computational speed of approximately 9% is demonstrated with an approximate speedup of 81x when compared to a conventional single Xeon core. We also demonstrate that the UEFM solver has better dissipative properties when compared to the Quiet Direct Simulation (QDS) method.
|Number of pages||6|
|Publication status||Published - 2013|
|Event||25th International Conference on Parallel Computational Fluid Dynamics, ParCFD 2013 - Changsha, China|
Duration: 2013 May 20 → 2013 May 24
All Science Journal Classification (ASJC) codes