Lattice-Boltzmann models for high speed flows
Lattice-Boltzmann models for high speed flows
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DOI：
10.1103/physreve.58.7283
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发表时间：
1998-12
影响因子：
2.4
通讯作者：
Chenghai Sun
中科院分区：
文献类型：
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作者：
Chenghai Sun
我们建立了一个晶格玻尔兹曼模型来求解超声速流动。粒子速度由平均速度和内能决定。粒子速度的自适应特性使平均流具有较高的马赫数。粒子势能的引入使模型适用于具有任意比热比的理想气体。用Chapman-Enskog方法推导了宏观守恒方程。模拟是在六边形晶格上进行的。然而，扩展到二维和三维方形晶格是很简单的。作为初步试验，我们提出了Sod激波管模拟和二维激波反射模拟。
We formulate a lattice Boltzmann model to solve supersonic flows. The particle velocities are determined by the mean velocity and internal energy. The adaptive nature of particle velocities permits the mean flow to have a high Mach number. The introduction of a particle potential energy causes the model to be suitable for a perfect gas with an arbitrary specific heat ratio. The macroscopic conservation equations are derived by the Chapman-Enskog method. The simulations were carried out on the hexagonal lattice. However, the extension to both two-and three-dimensional square lattices is straightforward. As preliminary tests, we present the Sod shock-tube simulation and the two-dimensional shock reflection simulation.