Geodesic
Task-Based Parallelization of an Implicit Kinetic Scheme
Jayesh Badwaik1 ; Matthieu Boileau2 ; David Coulette2 ; Emmanuel Franck2 ; Philippe Helluy2 ; Christian Klingenberg1 ; Laura Mendoza3 ; Herbert Oberlin3
1 Departement of Mathematics, Würzburg University, Germany
2 IRMA, University of Strasbourg, Inria TONUS, France
3 Max-Planck-Institut für Plasmaphysik, Garching, Germany
ESAIM. Proceedings, Tome 63 (2018), pp. 60-77.

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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.
DOI : 10.1051/proc/201863060

Jayesh Badwaik 1 ; Matthieu Boileau 2 ; David Coulette 2 ; Emmanuel Franck 2 ; Philippe Helluy 2 ; Christian Klingenberg 1 ; Laura Mendoza 3 ; Herbert Oberlin 3

1 Departement of Mathematics, Würzburg University, Germany
2 IRMA, University of Strasbourg, Inria TONUS, France
3 Max-Planck-Institut für Plasmaphysik, Garching, Germany 
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     title = {Task-Based {Parallelization} of an {Implicit} {Kinetic} {Scheme}},
     journal = {ESAIM. Proceedings},
     pages = {60--77},
     publisher = {mathdoc},
     volume = {63},
     year = {2018},
     doi = {10.1051/proc/201863060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201863060/}
}
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Jayesh Badwaik; Matthieu Boileau; David Coulette; Emmanuel Franck; Philippe Helluy; Christian Klingenberg; Laura Mendoza; Herbert Oberlin. Task-Based Parallelization of an Implicit Kinetic Scheme. ESAIM. Proceedings, Tome 63 (2018), pp. 60-77. doi : 10.1051/proc/201863060. http://geodesic.mathdoc.fr/articles/10.1051/proc/201863060/

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