用于可压缩Navier-Stokes方程的多速度级与多能级格子Boltzmann模型  

A Multi-speed-level and Multi-energy-level Lattice Boltzmann Model for Compressible Navier-Stokes Equations

作　　者：张建影[1] 闫广武[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2006年第5期741-744,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学重大项目基金(批准号:90305013);国家自然科学基金(批准号:10072023);吉林大学创新基金(批准号:2004CX041)

摘　　要：构造了用于可压缩Navier-Stokes方程的25-bit格子Boltzmann模型,它具有3个速度级和3个能级.令其局部平衡态分布函数具有质量、动量和能量守恒,同时假设平衡态分布函数满足高阶矩条件,得到了具有二阶截断误差的可压缩Navier-Stokes方程.数值模拟表明,所得结果比一阶模型的结果有较高的精度与分辨率.We proposed a 25-bit lattice Boltzmann model for the compressible Navier-Stokes equations. It is based on three-speed-level and three-energy-level. We used the conservation laws of the mass, momentum and energy, and the method of higher moments of the equilibrium distribution functions to get the compressible Navier-Stokes equations with the second accuracy of the truncation errors. The numerical result shows the model has a higher accuracy and resolution than the first accuracy model.

关 键 词：格子Bohzmann方法 可压缩NAVIER-STOKES方程 Sod问题 多能级格子Bohzmann模型 

分 类 号：O354[理学—流体力学]