Is GPU the future of Scientific Computing ?
Annales mathématiques Blaise Pascal, Volume 20 (2013) no. 1, pp. 75-99.

These past few years, new types of computational architectures based on graphics processors have emerged. These technologies provide important computational resources at low cost and low energy consumption. Lots of developments have been done around GPU and many tools and libraries are now available to implement efficiently softwares on those architectures.

This article contains the two contributions of the mini-symposium about GPU organized by Loïc Gouarin (Laboratoire de Mathématiques d’Orsay), Alexis Hérault (CNAM) and Violaine Louvet (Institut Camille Jordan). This mini-symposium was an opportunity to explore the upcoming role of hardware accelerators and how it will affect the way applications are designed and developed.

As the main issue of the mini-symposium was graphical cards, this document contains contributions about two feedbacks on the behavior of different numerical methods on GPU:

  • ones on particle method for transport equations,
  • the other on Lattice Boltzmann Methods for Navier–Stokes equations, Finite Volume schemes for Euler equations and particles methods for kinetic equations.

Ces dernières années, de nouveaux types d’architectures basés sur les processeurs graphiques ont émergés. Ces technologies fournissent d’importantes ressources computationelles à faible coût et faible consommation d’énergie. Les nombreux dévelopements effectués sur le GPU ont alors permis la création et l’implémentation de logiciels sur ce type d’architecture.

Cet article contient les deux contributions de ce mini-symposium GPU organisé par Loïc Gouarin (Laboratoire de Mathématiques d’Orsay), Alexis Hérault (CNAM) et Violaine Louvet (Institut Camille Jordan). La premiere concerne les méthodes particulaires pour les équations de transport, la seconde concerne la résolution des équations de Navier-Stokes et des équations d’Euler.

DOI: 10.5802/ambp.322
Classification: 35L05, 65M08, 76M25, 76N15, 76P05, 97N40
Keywords: GPU, méthode particulaire, EDP, Mécanique des Fluides, interaction, visualisation, calcul instantané, volumes finis, méthode Lattice Boltzmann, méthode particulaire, programmation multicœur
Mot clés : PDE, GPU, CFD, interaction, visualization, instant computation, finite volumes, Lattice Boltzmann method, particle method, multicore programming
Georges-Henri Cottet 1; Jean-Matthieu Etancelin 1; Franck Perignon 1; Christophe Picard 2; Florian De Vuyst 3; Christophe Labourdette 3

1 Laboratoire Jean Kuntzmann Université Joseph Fourier BP 53 38041, Grenoble Cedex 9 France
2 Laboratoire Jean Kuntzamnn Université Joseph Fourier BP 53 38041, Grenoble Cedex 9 France
3 Centre de Mathématiques et de leurs Applications CMLA CNRS UMR 8536 61, avenue du Président Wilson 94235 Cachan CEDEX FRANCE
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Georges-Henri Cottet; Jean-Matthieu Etancelin; Franck Perignon; Christophe Picard; Florian De Vuyst; Christophe Labourdette. Is GPU the future of Scientific Computing ?. Annales mathématiques Blaise Pascal, Volume 20 (2013) no. 1, pp. 75-99. doi : 10.5802/ambp.322.

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