Numerical solution of the Vlasov-Poisson equations using a semi-Lagrangian WENO scheme implemented on GPU

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Abstract

A numerical method for solving the Vlasov-Poisson equations using a high-order semi-Lagrange conservative WENO scheme is developed. The Vlasov-Poisson equations govern evolution of the collisionless self-interacting medium and are widely used in plasma physics and astrophysics, in particular for modeling dynamics of galactic systems. The method is implemented for computations on Graphical Processing Units (GPUs). The GPU code is validated using an exact unsteady analytical solution describing nonlinear oscillations of a plane self-gravitating layer. The comparison with numerical results obtained with the serial CPU code show a significant, up to 50 times, speed-up of the computations.

Original languageEnglish
Article number012119
JournalJournal of Physics: Conference Series
Volume1404
Issue number1
DOIs
Publication statusPublished - 6 Dec 2019
Event16th All-Russian Seminar with International Participation on Dynamics of Multiphase Media, DMM 2019 - Novosibirsk, Russian Federation
Duration: 30 Sep 20195 Oct 2019

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