A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics
Tang, HZ; Xu, K
AbstractThis paper extends the gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics (MHD) equations (K. Xu, 1999, J. Comput. Phys. 153, 334) to multidimensional cases. The kinetic MHD scheme is constructed based on the direct splitting of the macroscopic Aux functions with the consideration of particle transport. At the same time, particle "collisions" are implemented in the free transport process to reduce the numerical dissipation. The high-order resolution of the scheme is achieved through the MUSCL-type initial reconstruction and the Runge-Kutta time-stepping method. The numerical tests include the spherical explosion, the Kelvin-Helmholtz instability, and the Orszag-Tang MHD turbulence problems. Numerical results validate the accuracy of the kinetic approach. (C) 2000 Academic Press.
Keywordmagnetohydrodynamics kinetic method
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000165423300004
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Document Type期刊论文
Corresponding AuthorTang, HZ
Affiliation1.Chinese Acad Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
2.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
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Tang, HZ,Xu, K. A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2000,165(1):69-88.
APA Tang, HZ,&Xu, K.(2000).A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics.JOURNAL OF COMPUTATIONAL PHYSICS,165(1),69-88.
MLA Tang, HZ,et al."A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics".JOURNAL OF COMPUTATIONAL PHYSICS 165.1(2000):69-88.
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