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An explicit scheme for ohmic dissipation with smoothed particle magneto-hydrodynamics

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.

preprint2013arXivOpen access
Yusuke TsukamotoKazunari IwasakiShu-ichiro Inutsuka
astro-ph.IMastro-ph.EPastro-ph.SR
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Yusuke TsukamotoKazunari IwasakiShu-ichiro Inutsuka

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