Solving the Euler Equations on Graphics Processing Units

Trond Runar Hagen, Knut-Andreas Lie, Jostein R. Natvig
SINTEF, Dept. Applied Math., P.O. Box 124 Blindern, N-0314 Oslo, Norway
Computational Science – ICCS 2006, Lecture Notes in Computer Science, 2006, Volume 3994/2006, 220-227


   title={Solving the euler equations on graphics processing units},

   author={Hagen, T. and Lie, K.A. and Natvig, J.},

   journal={Computational Science–ICCS 2006},





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The paper describes how one can use commodity graphics cards (GPUs) as a high-performance parallel computer to simulate the dynamics of ideal gases in two and three spatial dimensions. The dynamics is described by the Euler equations, and numerical approximations are computed using state-of-the-art high-resolution finite-volume schemes. These schemes are based upon an explicit time discretisation and are therefore ideal candidates for parallel implementation.
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