一类特殊的9-bit格子Boltzmann模型

Special 9-Bit Lattice Boltzm ann Model

基于传统流体力学的斯托克斯假设,对可压缩流体的Navier-Stokes方程的特点进行了分析.在此基础上,建立了既符合斯托克斯假设,又能模拟可压缩流体的9-bit格子Boltzmann模型,并运用格子Boltzmann模型的相关理论确定了模型参数.最后,通过对尾流现象的模拟,验证了模型的可行性.

Based on the Stokes hypothesis, the characteristics of the Navier-Stokes equation for compressible liquids were analyzed. Through the above analysis, a special 9-bit lattice Bohzmann model was set up. The proposed model not only satisfies the Stokes hypothesis but also can simulate compressible liquids. In addition, the parameters in this model were determined through using the relative theory of the lattice Boltzmann method. At last, the feasibility of the proposed model was proved through simulating the tail flow problem.