| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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A Modified Third-Order Semi-Discrete Central-Upwind Scheme for MHD Simulation |
| JI Zhen1,2**, ZHOU Yu-Fen1, HOU Tian-Xiang3
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1 State Key Laboratory of Space Weather, Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190
2 Graduate School, Chinese Academy of Sciences, Beijing 100049
3 China Meteorological Administration Training Centre, Beijing 100081
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| Cite this article: |
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JI Zhen, ZHOU Yu-Fen, HOU Tian-Xiang 2011 Chin. Phys. Lett. 28 075205 |
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Abstract The Kurganov scheme is a third-order semi-discrete central numerical algorithm. The high solution of the scheme is ensured by a piecewise quadratic non-oscillatory reconstruction which consists of the cell-average data. We employ a modification of the smooth limiter of reconstruction in a simple way. The modified limiter possesses rigorous positivity and the reformulation does not change the non-oscillatory property of reconstruction. In order to explore the potential capability of application of the modified Kurganov scheme to magnetohydrodynamics (MHD) and resistive magnetohydrodynamics (RMHD) equations, two numerical problems are simulated in two dimensions (2D). These numerical simulations demonstrate that the modified Kurganov scheme keeps high precision and has stable reliable results for MHD and RMHD applications.
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| Keywords:
52.30.Cv
95.30.Qd
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Received: 17 February 2011
Published: 29 June 2011
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| PACS: |
52.30.Cv
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(Magnetohydrodynamics (including electron magnetohydrodynamics))
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95.30.Qd
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(Magnetohydrodynamics and plasmas)
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