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Application of a Kinetic Theory Based Solver of the Euler Equations Using GPU

M. R. SMITH, F.-A. KUO, C.-Y. CHOU, J.-S. WU, H. M. CAVE


Presented is a modified form of the Quiet Direct Simulation (QDS) method [1] adapted for application of Graphics Processing Units (GPU) for flux calculation. Fluxes between source and destination cells calculated by QDS are flux-vector split and (on a regular Cartesian grid) a function of the source cell alone. The resulting advantage is the rapid calculation of fluxes between cells without the prior exchange of information between them, allowing highly efficient calculation using GPU. Various flow problems have been solved and consistent speed-ups of over 35 times (when compared to an equivalent single CPU code) are reported.

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