A comparison between the discontinuous galerkin method and the high resolution wave propagation method for the full two-fluid plasma system

2006 ◽  
Author(s):  
B. Srinivasan ◽  
A. Hakim ◽  
J. Loverich ◽  
U. Shumlak
Keyword(s):  
Wave Propagation ◽  
High Resolution ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Plasma System ◽  
Wave Propagation Method ◽  
Two Fluid ◽  
Two Fluid Plasma

scholarly journals A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

2011 ◽  
Vol 9 (2) ◽  
pp. 240-268 ◽  
Author(s):  
John Loverich ◽  
Ammar Hakim ◽  
Uri Shumlak
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Numerical Solutions ◽  
Three Dimensions ◽  
Third Order ◽  
Small Gauge ◽  
Electron Acoustic ◽  
Two Fluid ◽  
Two Fluid Plasma

AbstractA 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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