@Article{CiCP-21-1429,
author = {Jun Ma, Wenfeng Guo and Zhi Yu},
title = {Simulating Magnetohydrodynamic Instabilities with Conservative Perturbed MHD Model Using Discontinuous Galerkin Method},
journal = {Communications in Computational Physics},
year = {2018},
volume = {21},
number = {5},
pages = {1429--1448},
abstract = {<p style="text-align: justify;">In magnetically confined plasma research, the understandings of small and
large perturbations at equilibrium are both critical for plasma controlling and steady
state operation. Numerical simulations using original MHD model can hardly give
clear picture for small perturbations, while non-conservative perturbed MHD model
may break conservation law, and give unphysical results when perturbations grow
large after long-time computation. In this paper, we present a nonlinear conservative
perturbed MHD model by splitting primary variables in original MHD equations into
equilibrium part and perturbed part, and apply an approach in the framework of discontinuous
Galerkin (DG) spatial discretization for numerical solutions. This enables
high resolution of very small perturbations, and also gives satisfactory non-smooth
solutions for large perturbations, which are both broadly concerned in magnetically
confined plasma research. Numerical examples demonstrate satisfactory performance
of the proposed model clearly. For small perturbations, the results have higher resolution
comparing with the original MHD model; for large perturbations, the non-smooth
solutions match well with existing references, confirming reliability of the model for
instability investigations in magnetically confined plasma numerical research.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0095},
url = {http://global-sci.org/intro/article_detail/cicp/11285.html}
}