摘要
在简单声速可调模型的基础上，通过在演化方程中引入一个吸引势来降低有效声速从而提高 Ｍａｃｈ 数，建立高 Ｍａｃｈ 数下的可压缩格子 Ｂｏｌｔｚｍａｎｎ 模型．利用 Ｃｈａｐ ｍａｎ Ｅｎｓｋｏｇ 渐进展开法推导相应的宏观流体力学方程．与粘滞流体的 Ｎａｖｉｅｒ Ｓｔｏｋｅｓ 方程比较表明，该模型有降低声速的功能．模拟结果表明，该模型可将 Ｍａｃｈ 数提高到３ 以上，且与理论值符合．该模型的建立为用格子气模拟可压缩流体打开广阔前景．
We present a Lattice Boltzmann model to simulate compressible flows by introducing an attractive potential based on the simple selectable sound speed model. The corresponding macro\|dynamical equation from Chapman\|Enskog expansion shows that this model has the advantage to soften sound speed effectively and then the Mach number is raised greatly(up to more than 3). Simulations of March cone and the comparison between theoretical expectations and simulations demonstrate that the scheme is effective in simulation of compressible flows with high Mach numbers, which would open many new applications. PACC: 4720N; 4720; 0270; 5110
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1999年第8期1470-1476,共7页
Acta Physica Sinica
