High order moment closure for Vlasov-Maxwell equations | |
Di, Yana ; Kou, Zhenzhong ; Li, Ruo | |
2015 | |
关键词 | Moment closure Vlasov-Maxwell (VM) equations Boltzmann equation extended magnetohydrodynamics REGULARIZATION SYSTEM NUMBER SCHEME |
英文摘要 | The extended magnetohydrodynamic models are derived based on the moment closure of the Vlasov-Maxwell (VM) equations. We adopt the Grad type moment expansion which was firstly proposed for the Boltzmann equation. A new regularization method for the Grad's moment system was recently proposed to achieve the globally hyperbolicity so that the local well-posedness of the moment system is attained. For the VM equations, the moment expansion of the convection term is exactly the same as that in the Boltzmann equation, thus the new developed regularization applies. The moment expansion of the electromagnetic force term in the VM equations turns out to be a linear source term, which can preserve the conservative properties of the distribution function in the VM equations perfectly.; National Magnetic Confinement Fusion Science Program [2011GB105003]; National Natural Science Foundation of China [11271358, 11325102, 91330205]; Sci-Tech Interdisciplinary Innovation and Cooperation Team Program of the Chinese Academy of Sciences; SCI(E); 中国科学引文数据库(CSCD); ARTICLE; yndi@lsec.cc.ac.cn; 5; 1087-1100; 10 |
语种 | 中文 |
出处 | SCI ; CSCD |
出版者 | FRONTIERS OF MATHEMATICS IN CHINA |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/416107] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Di, Yana,Kou, Zhenzhong,Li, Ruo. High order moment closure for Vlasov-Maxwell equations. 2015-01-01. |
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