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

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.