TY - JOUR
T1 - A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations
AU - John Loverich, Ammar Hakim & Uri Shumlak
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 - <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>