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Solving Kinetic Equations on GPUs I: Model Kinetic Equations

Aldo Frezzotti, Gian Pietro Ghiroldi, Livio Gibelli
Politecnico di Milano, Dipartimento di Matematica, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
arXiv:0903.4044 [physics.comp-ph] (24 Mar 2009)

@article{frezzotti2009solving,

   title={Solving Kinetic Equations on GPUs I: Model Kinetic Equations},

   author={Frezzotti, A. and Ghiroldi, G.P. and Gibelli, L.},

   journal={Arxiv preprint arXiv:0903.4044},

   year={2009}

}

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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 can easily be extended to three-dimensional flows and more general collision models.
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