ESAIM: Proceedings and Surveys (Jan 2018)

Task-Based Parallelization of an Implicit Kinetic Scheme★

  • Badwaik Jayesh,
  • Boileau Matthieu,
  • Coulette David,
  • Franck Emmanuel,
  • Helluy Philippe,
  • Klingenberg Christian,
  • Mendoza Laura,
  • Oberlin Herbert

DOI
https://doi.org/10.1051/proc/201863060
Journal volume & issue
Vol. 63
pp. 60 – 77

Abstract

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In this paper we present and implement the Palindromic Discontinuous Galerkin (PDG) method in dimensions higher than one. The method has already been exposed and tested in [4] in the one-dimensional context. The PDG method is a general implicit high order method for approximating systems of conservation laws. It relies on a kinetic interpretation of the conservation laws containing stiff relaxation terms. The kinetic system is approximated with an asymptotic-preserving high order DG method. We describe the parallel implementation of the method, based on the StarPU runtime library. Then we apply it on preliminary test cases.