An explicit scheme for ohmic dissipation with smoothed particle magneto-hydrodynamics
Solar and Stellar Astrophysics
2015-06-16 v2 Earth and Planetary Astrophysics
Instrumentation and Methods for Astrophysics
Abstract
In this paper, we present an explicit scheme for Ohmic dissipation with smoothed particle magneto-hydrodynamics (SPMHD). We propose a SPH discretization of Ohmic dissipation and solve Ohmic dissipation part of induction equation with the supertime-stepping method (STS) which allows us to take a longer time-step than Courant-Friedrich-Levy stability condition. Our scheme is second-order accurate in space and first-order accurate in time. Our numerical experiments show that optimal choice of the parameters of STS for Ohmic dissipation of SPMHD is {\nu}sts ~ 0.01 and Nsts ~ 5.
Keywords
Cite
@article{arxiv.1305.4436,
title = {An explicit scheme for ohmic dissipation with smoothed particle magneto-hydrodynamics},
author = {Yusuke Tsukamoto and Kazunari Iwasaki and Shu-ichiro Inutsuka},
journal= {arXiv preprint arXiv:1305.4436},
year = {2015}
}
Comments
10 pages, 9 figures, accepted for publication in MNRAS. We newly added gravitional collapse tests with and without Ohmic resistivity in this version