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A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations
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Year:    2011

Communications in Computational Physics, Vol. 9 (2011), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.250509.210610a

Communications in Computational Physics, Vol. 9 (2011), Iss. 2 : pp. 240–268

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    29

Keywords:   

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