模拟可压缩流体的一维格子Boltzmann模型

Lattice Boltzmann Models for One-dimensional Compressible Fluids

通过对Renda模型中的平衡态分布函数增加约束,修正了其模型对应的宏观方程。修正后的模型在一阶精度上得到了正确的Euler方程,并保持了原模型的稳定性范围。使用修正后的模型对激波管问题进行了数值模拟,计算结果与Renda模型的结果以及理论解进行了比较,结果表明改进后的模型与理论解吻合很好。

By adding extra constrain to the equilibrium distributions a simple modification is proposed to correct macroscopic equations .The modified model can derive the correct Euler Equations at leading order and maintains the stable region. Shock tube problem has perormed using the modified model and the results have compared with the results of Renda＇s model and the analytical solutions. The results verify that the modified model shows a more good agreement with the theoretical predictions.