A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK   Models

doi:10.4208/aamm.2014.m559

CORC > 北京大学 > 工学院

	A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models
	Chen, Songze ; Xu, Kun ; Cai, Qingdong
刊名	ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
	2015
关键词	Kinetic models unified gas kinetic scheme rarefied flow GAS-KINETIC SCHEME GROSS-KROOK MODEL PRANDTL NUMBER RAREFIED FLOWS CONTINUUM BOLTZMANN EQUATIONS
DOI	10.4208/aamm.2014.m559
英文摘要	The Ellipsoidal Statistical model (ES-model) and the Shakhov model (S-model) were constructed to correct the Prandtl number of the original BGK model through the modification of stress and heat flux. With the introduction of a new parameter to combine the ES-model and S-model, a generalized kinetic model can be developed. This new model can give the correct Navier-Stokes equations in the continuum flow regime. Through the adjustment of the new parameter, it provides abundant dynamic effect beyond the ES-model and S-model. Changing the free parameter, the physical performance of the new model has been tested numerically. The unified gas kinetic scheme (UGKS) is employed for the study of the new model. In transition flow regime, many physical problems, i.e., the shock structure and micro-flows, have been studied using the generalized model. With a careful choice of the free parameter, good results can be achieved for most test cases. Due to the property of the Boltzmann collision integral, the new parameter in the generalized kinetic model cannot be fully determined. It depends on the specific problem. Generally speaking, the S-model predicts more accurate numerical solutions in most test cases presented in this paper than the ES-model, while ES-model performs better in the cases where the flow is mostly driven by temperature gradient, such as a channel flow with large boundary temperature variation at high Knudsen number.; Hong Kong Research Grant Council [621011, 620813]; HKUST [SRFI11SC05]; National Natural Science Funds for Distinguished Young Scholar group [11221061]; SCI(E); ARTICLE; jacksongze@pku.edu.cn; makxu@ust.hk; caiqd@pku.edu.cn; 2; 245-266; 7
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/420603]
专题	工学院
推荐引用方式 GB/T 7714	Chen, Songze,Xu, Kun,Cai, Qingdong. A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2015.
APA	Chen, Songze,Xu, Kun,&Cai, Qingdong.(2015).A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS.
MLA	Chen, Songze,et al."A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS (2015).