高Mach数格子Boltzmann模型

基金项目:

国家自然科学基金资助项目(10072004)

北京市自然科学基金资助项目(1982002)

北京市青年科技骨干培养基金资助项目

详细信息

Lattice Boltzmann Model for High Mach-number Flows

1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China;
2. College of Applied Sciences, Beijing Polytechnic University. Beijing 100022, China;
3. Department of Physics, Zhejiang Normal University, Jinhua 321004, China

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粒子吸引项,建立了高Mach数格子Boltzmann模型.利用Chapman-Enskog渐进展开法推导相应的宏观流体力学方程.模拟结果表明,该模型可降低声速,将Mach数提高到5以上,且与理论值吻合.
- 粒子吸引项 /
- 高Mach数流动 /
- 格子Boltzmann方程
Abstract: The authors present a LB model to simulate high Mach-number flows by introducing an attractive force 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 greafly(up to more than 5); The establishment of the model will open the wide vista in simulating high Mach-number flows by means of lattice.
- attractive force /
- high Mach-number flows /
- lattice Boltzmann equation