A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

• DOI: 10.4208/cicp.250509.210610a
• Publication Date: 2010-08-27T04:57:44Z
• Authors: John Loverich; Ammar Hakim; Uri Shumlak
• Keywords: Plasma Physics (physics.plasm-ph); 0103 physical sciences; Fluid Dynamics (physics.flu-dyn); FOS: Physical sciences; Physics - Fluid Dynamics; Computational Physics (physics.comp-ph); Physics - Computational Physics; 01 natural sciences; Physics - Plasma Physics

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