Volume 9, Issue 2
A Discontinuous Galerkin Method for Ideal Two-fluid Plasma Equations

John Loverich, Ammar Hakim & Uri Shumlak

Commun. Comput. Phys., 9 (2011), pp. 240-268.

Published online: 2011-09

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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.

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@Article{CiCP-9-240, author = {John Loverich, Ammar Hakim and Uri Shumlak}, title = {A Discontinuous Galerkin Method for Ideal Two-fluid Plasma Equations}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {2}, pages = {240--268}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.250509.210610a}, url = {http://global-sci.org/intro/article_detail/cicp/7499.html} }
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