| Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics |
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| 作者姓名： | Huazhong |
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| 作者单位： | Huazhong Tang(CAPT & LMAM of School of Mathematical Sciences, Peking University, Beijing 100871, China);Kun Xu(Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong);Chunpei Cai(Department of Mechanical & Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003-8001, USA) |
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| 基金项目： | the National Basic Research Program，the National Natural Science Foundation of China，the Doctoral Program of the Education Ministry of China，the Program for New Century Excellent Talents in University，Hong Kong Research Grant Council，National Natural Science Foundation of China，National Key Basic Research Program |
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| 摘 要： | <正>The gas-kinetic theory based flux splitting method has been successfully proposed for solving one-and two-dimensional ideal magnetohydrodynamics by Xu et al. J.Comput.Phys.,1999;2000],respectively.This paper extends the kinetic method to solve three-dimensional ideal magnetohydrodynamics equations,where an adaptive parameter 17 is used to control the numerical dissipation in the flux splitting method. Several numerical examples are given to demonstrate that the proposed method can achieve high numerical accuracy and resolve strong discontinuous waves in three dimensional ideal MHD problems.
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| 关 键 词： | splitting method magnetohydrodynamics equations flux splitting numerical dissipation numerical accuracy three dimensional ideal control theory paper based high MHD |
Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics |
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| Huazhong.Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics[J].Numerical Mathematics A Journal of Chinese Universities English Series,2010,3(4). |
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| Authors: | Huazhong Tang Kun Xu Chunpei Cai |
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| Abstract: | The gas-kinetic theory based flux splitting method has been successfully proposed for solving one- and two-dimensional ideal magnetohydrodynamics by Xu et al.J. Comput. Phys., 1999; 2000], respectively. This paper extends the kinetic method to solve three-dimensional ideal magnetohydrodynamics equations, where an adaptive parameter η is used to control the numerical dissipation in the flux splitting method.Several numerical examples are given to demonstrate that the proposed method can achieve high numerical accuracy and resolve strong discontinuous waves in three dimensional ideal MHD problems. |
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| Keywords: | The kinetic BGK scheme magnetohydrodynamics divergence-free condition |
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