A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

作者：Loverich John^*; Hakim Ammar; Shumlak Uri

来源：Communications in Computational Physics, 2011, 9(2): 240-268.

DOI：10.4208/cicp.250509.210610a

• Plasma
• two-fluid
• 5 moment
• discontinuous Galerkin
• electrostatic shock
• electromagnetic shock
• magnetic reconnection

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.

• 出版日期2011-2