München 2019 – scientific programme
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P: Fachverband Plasmaphysik
P 18: Postersitzung
P 18.8: Poster
Thursday, March 21, 2019, 16:30–18:30, Foyer Audimax
Parallel Low-Rank Vlasov Simulations — •Florian Allmann-Rahn1, Katharina Kormann2, and Rainer Grauer1 — 1Ruhr-Universität Bochum — 2Max-Planck-Institut für Plasmaphysik Garching
Kinetic Vlasov simulations are in many cases the most accurate and complete way to compute a plasma, but since they employ a full grid in phase space, they are expensive both computationally and memory-wise. This issue can be overcome by means of low-rank approximations (Kormann 2015; SIAM J. Sci. Computing 37,4) which can lead to massive performance gains. There, small singular values are discarded in order to obtain a compressed version of the plasma distribution function. For use on large computer clusters, we developed a parallel version of the low-rank Vlasov solver that is suitable for distributed memory. It employs a domain decomposition and boundary exchange in the hierarchical Tucker format. The parallel low-rank method is presented and the possibilities of fast high-resolution Vlasov simulations are demonstrated.