Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics
Numerical Analysis
2021-02-24 v1 Numerical Analysis
Computational Physics
Plasma Physics
Abstract
Fully adaptive computations of the resistive magnetohydrodynamic (MHD) equations are presented in two and three space dimensions using a finite volume discretization on locally refined dyadic grids. Divergence cleaning is used to control the incompressibility constraint of the magnetic field. For automatic grid adaptation a cell-averaged multiresolution analysis is applied which guarantees the precision of the adaptive computations, while reducing CPU time and memory requirements. Implementation issues of the open source code CARMEN-MHD are discussed. To illustrate its precision and efficiency different benchmark computations including shock-cloud interaction and magnetic reconnection are presented.
Cite
@article{arxiv.2102.11806,
title = {Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics},
author = {Anna Karina Fontes Gomes and Margarete Oliveira Domingues and Odim Mendes and Kai Schneider},
journal= {arXiv preprint arXiv:2102.11806},
year = {2021}
}
Comments
30 pages