An Efficient NRxx Method for Boltzmann-BGK Equation

Authors:
Zhenning Cai;Ruo Li;Yanli Wang
Affiliations:
School of Mathematical Sciences, Peking University, Beijing, China;CAPT, LMAM & School of Mathematical Sciences, Peking University, Beijing, China;School of Mathematical Sciences, Peking University, Beijing, China
Venue:
Journal of Scientific Computing
Year:
2012

Citing 4
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Abstract

In Cai and Li (SIAM J. Sci. Comput. 32(5):2875---2907, 2010), we proposed a numerical regularized moment method of arbitrary order (abbreviated as NRxx method) for Boltzmann-BGK equation, which makes numerical simulation using very large number of moments possible. In this paper, we are further exploring the efficiency of the NRxx method with techniques including the 2nd order HLL flux with linear reconstruction to improve spatial accuracy, the RKC schemes to relieve the time step length constraint by the regularization terms, and the revised Strang splitting to calculate convective and diffusive terms only once without loss of accuracy. It is validated by the numerical results that the overall efficiency is significantly improved and the convergence order is kept well.