Japan Geoscience Union Meeting 2016

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Poster

Symbol P (Space and Planetary Sciences) » P-EM Solar-Terrestrial Sciences, Space Electromagnetism & Space Environment

[P-EM17] Space Plasma Physics: Theory and Simulation

Tue. May 24, 2016 5:15 PM - 6:30 PM Poster Hall (International Exhibition Hall HALL6)

Convener:*Takayuki Umeda(Institute for Space-Earth Environmental Research, Nagoya University), Takanobu Amano(Department of Earth and Planetary Science, University of Tokyo), Yasuhiro Nariyuki(Faculty of Human Development, University of Toyama), Tadas Nakamura(Fukui Prefectural University), Tooru Sugiyama(Japan Agency for Marine-Earth Science and Technology Center for Earth Information Science and Technology)

5:15 PM - 6:30 PM

[PEM17-P08] Higher-order weighted compact nonlinear scheme for magnetohydrodynamics

*Takahiro Miyoshi1, Takashi Minoshima2, Yosuke Matsumoto3 (1.Graduate School of Science, Hiroshima University, 2.Department of Mathematical Science and Advanced Technology, Japan Agency for Marine-Earth Science and Technology, 3.Graduate School of Science, Chiba University)

Keywords:MHD, WCNS, approximate Riemann solver

Complex interactions between a magnetohydrodynamic (MHD) shock and turbulence play an important role in various space and astrophysical plasmas. For the last several decades, a number of approximate Riemann solvers for MHD have been developed. The HLLD approximate Riemann solver proposed by Miyoshi and Kusano [1] is adopted as a standard solver in many MHD software packages. In addition, the Riemann solver which is first-order accurate must be extended to higher-order in order to numerically solve the turbulence. A higher-order finite-volume method in which the numerical fluxes are evaluated using a nonlinear variable interpolation method such as MUSCL, WENO, or MP5 is often constructed as a higher-order MHD method [2,3,4]. However, it is difficult in general to construct higher-order finite-volume method in multidimensions and realize higher-order for multidimensional physics simulations.
In this study, we construct a higher-order MHD scheme by applying a finite-difference method which can simply be extended to multidimensions. Particularly, a shock capturing finite-difference method, so-called weighted compact nonlinear scheme (WCNS) [5,6], is adopted. The WCNS is composed of higher-order numerical fluxes evaluating from a weighted variable interpolation method and higher-order central finite-difference method. Combinations of 5th-order numerical fluxes and 4th or 6th-order central finite-difference method are applied for and comparatively investigated. We also discuss a divergence-free WCNS for multidimensinoal MHD in this report.
[1] T. Miyoshi, K. Kusano, J. Comput. Phys., 208, 315, 2005.
[2] A. G. Kritsuk, et al., Astrophys. J., 737:13, 2011.
[3] T. Minoshima, et al., Astrophys. J., 808:54, 2015.
[4] http://www.astro.phys.s.chiba-u.ac.jp/cans/
[5] X. G. Deng, H. Zhang, J. Comput. Phys., 165, 22, 2000.
[6] T. Nonomura, K. Fujii, Comput. Fluids, 85, 8 , 2013.