Dimension-Reduced Hyperbolic Moment Method for the Boltzmann Equation with BGK-Type Collision  

作　　者：Zhenning Cai Yuwei Fan Ruo Li Zhonghua Qiao 

机构地区：[1]School of Mathematical Sciences,Peking University,Beijing 100871,China [2]CAPT,LMAM&School of Mathematical Sciences,Peking University,Beijing 100871,China [3]Department of Applied Mathematics,The Hong Kong Polytechnic University,Hung Hom,Hong Kong.

出　　处：《Communications in Computational Physics》2014年第5期1368-1406,共39页计算物理通讯（英文）

基　　金：supported in part by the National Basic Research Program of China(2011CB309704);the National Natural Science Foundation of China(NSFC91330205);supported by the Hong Kong Research Council GRF grant(PolyU 2021/12P);the Hong Kong Polytechnic University grant(A-PL61);supported by the Hong Kong RGC grant PolyU 2017/10P during their visits to the Hong Kong Polytechnic University。

摘　　要：We develop the dimension-reduced hyperbolic moment method for the Boltzmann equation,to improve solution efficiency using a numerical regularized moment method for problems with low-dimensional macroscopic variables and highdimensional microscopic variables.In the present work,we deduce the globally hyperbolic moment equations for the dimension-reduced Boltzmann equation based on the Hermite expansion and a globally hyperbolic regularization.The numbers of Maxwell boundary condition required for well-posedness are studied.The numerical scheme is then developed and an improved projection algorithm between two different Hermite expansion spaces is developed.By solving several benchmark problems,we validate the method developed and demonstrate the significant efficiency improvement by dimension-reduction.

关 键 词：Dimension-reduction moment system NRxx global hyperbolicity boundary condition MICROFLOW 

分 类 号：O17[理学—数学]