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	NUMERICAL REGULARIZED MOMENT METHOD OF ARBITRARY ORDER FOR BOLTZMANN-BGK EQUATION
	Cai, Zhenning ; Li, Ruo
	2010
关键词	Boltzmann-BGK equation Grad&apos regularized moment-equations 13-MOMENT EQUATIONS BOUNDARY-CONDITIONS VELOCITY SPACE MODEL GAS DISCRETIZATION FLOWS s moment method
英文摘要	We introduce a numerical method for solving Grad's moment equations or regularized moment equations for an arbitrary order of moments. In our algorithm, we do not explicitly need the moment equations. Instead, we directly start from the Boltzmann equation and perform Grad's moment method [H. Grad, Commun. Pure Appl. Math., 2 (1949), pp. 331-407] and the regularization technique [H. Struchtrup and M. Torrilhon, Phys. Fluids, 15 (2003), pp. 2668-2680] numerically. We define a conservative projection operator and propose a fast implementation, which makes it convenient to add up two distributions and provides more efficient flux calculations compared with the classic method using explicit expressions of flux functions. For the collision term, the BGK model is adopted so that the production step can be done trivially based on the Hermite expansion. Extensive numerical examples for one-and two-dimensional problems are presented. Convergence in moments can be validated by the numerical results for different numbers of moments.; Mathematics, Applied; SCI(E); EI; 22; ARTICLE; 5; 2875-2907; 32
语种	英语
出处	EI ; SCI
出版者	siam journal on scientific computing
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314500]
专题	数学科学学院 工学院
推荐引用方式 GB/T 7714	Cai, Zhenning,Li, Ruo. NUMERICAL REGULARIZED MOMENT METHOD OF ARBITRARY ORDER FOR BOLTZMANN-BGK EQUATION. 2010-01-01.

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