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 = {}, 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} }
TY - JOUR T1 - A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations JO - Communications in Computational Physics VL - 2 SP - 240 EP - 268 PY - 2011 DA - 2011/09 SN - 9 DO - http://doi.org/10.4208/cicp.250509.210610a UR - https://global-sci.org/intro/article_detail/cicp/7499.html KW - AB -

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.

John Loverich, Ammar Hakim & Uri Shumlak. (2020). A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations. Communications in Computational Physics. 9 (2). 240-268. doi:10.4208/cicp.250509.210610a
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