@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 = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.250509.210610a},
url = {http://global-sci.org/intro/article_detail/cicp/7499.html}
}