Journal Article

Smoothed particle magnetohydrodynamics with a Riemann solver and the method of characteristics

Kazunari Iwasaki and Shu-ichiro Inutsuka

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 418, issue 3, pages 1668-1688
Published in print December 2011 | ISSN: 0035-8711
Published online December 2011 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2011.19588.x
Smoothed particle magnetohydrodynamics with a Riemann solver and the method of characteristics

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In this paper, we develop a new method for magnetohydrodynamics (MHD) using smoothed particle hydrodynamics (SPH). To describe MHD shocks accurately, the Godunov method is applied to SPH instead of artificial dissipation terms. In the interaction between particles, we solve a non-linear Riemann problem with magnetic pressure for compressive waves and apply the method of characteristics for Alfvén waves. An extensive series of MHD test calculations is performed. In all test calculations, we compare the results of our SPH code with those of a finite-volume method with an approximate Riemann solver, and confirm excellent agreement.

Keywords: magnetic fields; MHD; methods: numerical

Journal Article.  7469 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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