English

Task-based parallelization of an implicit kinetic scheme

Analysis of PDEs 2017-02-02 v1 Numerical Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.1702.00169,
  title  = {Task-based parallelization of an implicit kinetic scheme},
  author = {Jayesh Badwaik and Matthieu Boileau and David Coulette and Emmanuel Franck and Philippe Helluy and Laura Mendoza and Herbert Oberlin},
  journal= {arXiv preprint arXiv:1702.00169},
  year   = {2017}
}
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