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1 results

  • A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

  • John Loverich, Ammar Hakim, Uri Shumlak
  • Journal:
    Communications in Computational Physics / Volume 9 / Issue 2 / February 2011
    Published online by Cambridge University Press:
    20 August 2015, pp. 240-268
    Print publication:
    February 2011

  • A discontinuous Galerkin method for the ideal 5 moment two-fluid plasma system is presented. The method uses a second or third order discontinuous Galerkin spatial discretization and a third order TVD Runge-Kutta time stepping scheme. The method is benchmarked against an analytic solution of a dispersive electron acoustic square pulse as well as the two-fluid electromagnetic shock [1] and existing numerical solutions to the GEM challenge magnetic reconnection problem [2]. The algorithm can be generalized to arbitrary geometries and three dimensions. An approach to maintaining small gauge errors based on error propagation is suggested.