Energy-conserving discontinuous Galerkin methods for the Vlasov–Maxwell system
作者: Yingda ChengAndrew J. ChristliebXinghui Zhong
作者单位: 1Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
刊名: Journal of Computational Physics, 2014, Vol.279 , pp.145-173
来源数据库: Elsevier Journal
DOI: 10.1016/j.jcp.2014.08.041
关键词: Vlasov–Maxwell systemEnergy conservationSymplectic integratorsDiscontinuous Galerkin methodsStreaming Weibel instability
原始语种摘要: Abstract(#br)In this paper, we generalize the idea in our previous work for the Vlasov–Ampère (VA) system (Y. Cheng, A.J. Christlieb, and X. Zhong (2014) [10]) and develop energy-conserving discontinuous Galerkin (DG) methods for the Vlasov–Maxwell (VM) system. The VM system is a fundamental model in the simulation of collisionless magnetized plasmas. Compared to Y. Cheng, A.J. Christlieb, and X. Zhong (2014) [10], additional care needs to be taken for both the temporal and spatial discretizations to achieve similar type of conservation when the magnetic field is no longer negligible. Our proposed schemes conserve the total particle number and the total energy at the same time, therefore can obtain accurate and physically relevant numerical solutions. The main components of our methods...
全文获取路径: Elsevier  (合作)
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影响因子:2.138 (2012)

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