Evaluation of BGK-type Models of the Boltzmann Equation

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	Evaluation of BGK-type Models of the Boltzmann Equation
	Gao W(高巍); Sun QH(孙泉华)
	2014-12
会议名称	the 29th International Symposium on Rarefied Gas Dynamics
会议日期	July13-18，2014
会议地点	Xi'an, China
页码	84
中文摘要	A BGK-type model is a simplified model to the Boltzmann equation where the complicated collision integral is approximated using a simple relaxation term. In this paper, a generalized BGK-type model is proposed by combining the original BGK, Shakhov and ellipsoidal statistical models. To verify the new model, theoretical and numerical analysis is performed. The Chapman-Enskog expansion shows that the generalized model can recover the Navier-Stokes-Fourier and Burnett equations by choosing properly the introduced parameters. In addition, the collision term of the model is evaluated for several designed relaxation problems. Results show that the new model can match the results of third-order moments obtained with DSMC method by adjusting the free parameters.
会议网址	http://dx.doi.org/10.1063/1.4902578
会议录	AIP Conf. Proc. 1628
语种	英语
内容类型	会议论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49428]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	Gao W,Sun QH. Evaluation of BGK-type Models of the Boltzmann Equation[C]. 见:the 29th International Symposium on Rarefied Gas Dynamics. Xi'an, China. July13-18，2014.http://dx.doi.org/10.1063/1.4902578.