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	SOLVING VLASOV EQUATIONS USING NRxx METHOD
	Cai, Zhenning ; Li, Ruo ; Wang, Yanli
	2013
关键词	Vlasov equations NRxx method Landau damping REGULARIZED MOMENT METHOD FINITE-ELEMENT CODE BGK EQUATION SIMULATION PLASMAS SYSTEM SPACE ORDER
英文摘要	In this paper, we propose a moment method to numerically solve the Vlasov equations using the framework of the NRxx method developed in [Z. Cai and R. Li, SIAM J. Sci. Comput., 32 (2010), pp. 2875-2907; Z. Cai, R. Li, and Y. Wang, J. Sci. Comput., 50 (2012), pp. 103-119] for the Boltzmann equation. Due to the same convection term for the Boltzmann equation and the Vlasov equations, the NRxx method can be naturally applied. The moment closure recently presented in [Z. Cai, Y. Fan, and R. Li, Comm. Math. Sci., 11 (2013), pp. 547-571] is applied to achieve the global hyperbolicity, and thus the high order moment approximation is accessible in the case of strong nonequilibrium, which appears very often in the solution of the Vlasov equations. In the moment equations, the acceleration in the velocity space appears to be a source term in the equations of macroscopic velocity, and thus it is not difficult to handle numerically. The numerical method we developed can keep both the mass and the momentum conserved. We carry out the simulations of both the Vlasov-Poisson equations and the Vlasov-Poisson-BGK equations to study the linear Landau damping. The damping is well captured and the numerical convergence is obvious. In the collisionless case, the damping rates of our prediction match the theoretical data perfectly.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000330028400017&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; SCI(E); EI; 3; ARTICLE; 6; A2807-A2831; 35
语种	英语
出处	SCI ; EI
出版者	siam journal on scientific computing
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314356]
专题	数学科学学院 工学院
推荐引用方式 GB/T 7714	Cai, Zhenning,Li, Ruo,Wang, Yanli. SOLVING VLASOV EQUATIONS USING NRxx METHOD. 2013-01-01.

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