@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} }