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A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

Published online by Cambridge University Press:  20 August 2015

John Loverich ,
Ammar Hakim  and
Uri Shumlak
John Loverich*
Affiliation:
Tech-X Corporation, 5621 Arapahoe Avenue Suite A, Boulder CO, 80303, USA
Ammar Hakim*
Affiliation:
Tech-X Corporation, 5621 Arapahoe Avenue Suite A, Boulder CO, 80303, USA
Uri Shumlak*
Affiliation:
University of Washington, Aerospace and Energetics Research Program, Seattle, WA 98195-2250, USA
*
Corresponding author.Email:loverich@txcorp.com
Email:ammar@txcorp.com
Email:shumlak@aa.washington.edu
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Abstract

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.

Keywords

35Q3535Q6165L60Plasmatwo-fluid5 momentdiscontinuous Galerkinelectrostatic shockelectromagnetic shockmagnetic reconnection
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 2 , February 2011 , pp. 240 - 268
Copyright
Copyright © Global Science Press Limited 2011

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