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High-Order accurate relativistic Vlasov simulations in up to 3D+3P

POSTER

Abstract

The cost of direct simulation of solutions to kinetic equations has meant that dimensionally reduced systems are often considered. For example, the LOKI code has previously been employed for Vlasov simulation in 2D+2P (2 physical and 2 momentum dimensions). In the present work, we present new capabilities in LOKI to allow configurations for all plausible dimensionalities ranging from 1D+1P to 3D+3P. In continuation from previous work, this includes relativistic capabilities. The code is verified by showing the expected 4th and 6th order convergence using the method of manufactured solutions. Finally, a comparison is made to analytic damping rates and frequencies for relativistic Landau damping in up to three momentum dimensions where the results show excellent agreement between theory and simulation.

Presenters

  • Jennifer K Gorman

    Rensselaer Polytechnic Institute, RPI, Troy, NY

Authors

  • Jennifer K Gorman

    Rensselaer Polytechnic Institute, RPI, Troy, NY

  • Jeffrey W Banks

    Rensselaer Polytehnic Institute, Rensselaer Polytechnic Institute, RPI, Troy, NY