13-Bit多速格子气自动机模型的理论分析及模拟

Theoretical Analysis on 13-Bit Lattice Gas Automata Model with Poly-velocity and its Simulation

运用流体离散运动论方法对 13-Bit多速正六边形格子气自动机模型进行了理论分析 ,在由格子Boltzmann方程求得矩方程的基础上 ,根据Chapman -Enskog展开方法 ,导出了该模型的宏观热流体力学方程 ,从理论上证明了所建模型对于热流体力学问题描述的正确性。并给出了平板非等温流体绕流流动现象的模拟结果。

An 13 bit lattice gas automata model has been investigated from fluid discrete dynamics. By gaining the moment equations from lattice Boltzmann equation and using Chapman Enskog expansion, the fluid dynamics equation and energy equation of 13 bit lattice gas automata model with polyvelocity have been deduced. The validity of the model using for non isothermal fluid dynamics has been proved . Finally, simulation results for non isothermal flow pass plate have been shown