Volume 63, 2018CEMRACS 2016 - Numerical challenges in parallel scientific computing
|Page(s)||60 - 77|
|Published online||19 October 2018|
Task-Based Parallelization of an Implicit Kinetic Scheme★
Departement of Mathematics, Würzburg University, Germany
2 IRMA, University of Strasbourg, Inria TONUS, France
3 Max-Planck-Institut für Plasmaphysik, Garching, Germany
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  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.
© EDP Sciences, SMAI 2018
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