反演分布函数的多块网格LBM局部加密方法  

Multi-block Local Mesh Refinement Method for LBM with Inversion of Distribution Function

作　　者：魏如普 丁鹏[1] Rupu WEI;Peng DING(School of New Energy,China University of Petroleum(East China),Qingdao,Shandong 266580,China)

机构地区：[1]中国石油大学(华东)新能源学院,山东青岛266580

出　　处：《计算物理》2024年第5期643-650,共8页Chinese Journal of Computational Physics

摘　　要：针对格子玻尔兹曼方法(LBM)局部加密复杂的耦合计算,提出从宏观物理量反演得到粒子分布函数以避免进行分布函数转换的思路。通过重写Boltzmann方程推导得到分布函数内部关于Knudsen数的关系式,给出分布函数的反演计算方法,以此为基础设计新的多块网格加密算法,并将该算法应用于算例中验证其性能。结果表明:该算法能够较好地展现不同Reynolds数下流场的数值特征,流线图连续完整,得到的流场中涡旋的中心坐标与文献数据相符,可以用于流场模拟计算,为局部加密方法的发展提供指导。In response to the complex coupling calculation of LBM(lattice Boltzmann method)local mesh refinement,a method of inverting macroscopic physical quantities to obtain particle distribution functions is proposed to avoid conversion of distribution functions.By rewriting the Boltzmann equation,the relationship(depends on Knudsen number)inside the distribution function is derived,and the inversion calculation equation of the distribution function is given.Based on this,a new multi-block mesh refinement algorithm is designed,and its performance is verified by applying the algorithm to an example.The results show that the algorithm can display the numerical characteristics of the flow field under different Reynolds numbers,and the streamline graph is continuous and complete.The position of the vortex center in the flow field obtained is consistent with literature data.This algorithm can be used for flow field simulations and provides guidance for the development of local mesh refinement.

关 键 词：格子玻尔兹曼方法 多块网格 分布函数反演 局部加密 

分 类 号：O351.3[理学—流体力学]