On-node lattices construction using partial Gauss–Hermite quadrature for the lattice Boltzmann method

作     者：Huanfeng Ye Zecheng Gan Bo Kuang Yanhua Yang 叶欢锋;干则成;匡波;杨燕华

作者机构：School of Nuclear Science and Engineering Shanghai Jiao Tong University Department of Mathematics University of Michigan National Energy Key Laboratory of Nuclear Power Software 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2019年第28卷第5期

页      面：175-180页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Project supported by the National Science and Technology Major Project China(Grant No.2017ZX06002002) 

主　　题：equilibrium distribution discretization partial Gauss–Hermite quadrature 

摘      要：A concise theoretical framework,the partial Gauss–Hermite quadrature(pGHQ),is established to construct on-node lattices of the lattice Boltzmann(LB)method under a Cartesian coordinate *** with the existing approaches,the pGHQ scheme has the following advantages:extremely concise algorithm,unifies the constructing procedure for symmetric and asymmetric on-node lattices,and covers a full-range quadrature degree of a given discrete velocity *** employ the pGHQ scheme to search the local optimal and asymmetric lattices for{n=3,4,5,6,7}moment degree equilibrium distribution discretization on the range[-10,10].The search reveals a surprising abundance of available *** a brief analysis,the discrete velocity set shows a significant influence on the positivity of equilibrium distributions,which is considered as one of the major impacts of the numerical stability of the LB ***,the results of the p GHQ scheme lay a foundation for further investigations to improve the numerical stability of the LB method by modifying the discrete velocity *** is also worth noting that pGHQ can be extended into the entropic LB model,even though it was proposed for the Hermite polynomial expansion LB theory.