## Asymptotic-Preserving methods and multiscale models for plasma physics

- Pierre Degond, Fabrice Deluzet
- J. Comput. Physics
- 2017

2 Excerpts

- Published 2012

This paper deals with the numerical study of a nonlinear, strongly anisotropic heat equation. The use of standard schemes in this situation leads to poor results, due to the high anisotropy. An Asymptotic-Preserving method is introduced in this paper, which is second-order accurate in both, temporal and spacial variables. The discretization in time is done using an L-stable Runge-Kutta scheme. The convergence of the method is shown to be independent of the anisotropy parameter 0 < ε < 1, and this for fixed coarse Cartesian grids and for variable anisotropy directions. The context of this work are magnetically confined fusion plasmas.

@inproceedings{Lozinski2012HA,
title={. Highly Anisotropic Temperature Balance Equation and Its Asymptotic-preserving Resolution},
author={Alexei Lozinski and Jacek Narski and Claudia Negulescu},
year={2012}
}