An explicit scheme for ohmic dissipation with smoothed particle magneto-hydrodynamics
arXiv:1305.4436 · doi:10.1093/mnras/stt1205
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 νsts ~ 0.01 and Nsts ~ 5.
10 pages, 9 figures, accepted for publication in MNRAS. We newly added gravitional collapse tests with and without Ohmic resistivity in this version
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