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Evaluation of BGK-type Models of the Boltzmann Equation
Gao W(高巍); Sun QH(孙泉华)
Source PublicationAIP Conf. Proc. 1628
Conference Namethe 29th International Symposium on Rarefied Gas Dynamics
Conference DateJuly13-18,2014
Conference PlaceXi'an, China
AbstractA 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.
Document Type会议论文
Recommended Citation
GB/T 7714
Gao W,Sun QH. Evaluation of BGK-type Models of the Boltzmann Equation[C]AIP Conf. Proc. 1628,2014:84.
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