Simulations of Compressible Flows with Strong Shocks by an Adaptive Lattice Boltzmann Model
Simulations of Compressible Flows with Strong Shocks by an Adaptive Lattice Boltzmann Model
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DOI：
10.1006/jcph.2000.6487
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发表时间：
2000-06
影响因子：
4.1
通讯作者：
Chenghai Sun
中科院分区：
文献类型：
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作者：
Chenghai Sun
提出了一种可压缩流动的自适应格子Boltzmann模型。粒子速度集是如此之大，以至于平均流可能具有高速度。平衡分布函数的支撑集很小，并且随着平均速度和内能而变化。该支撑集的自适应性使得模型可以在较高的马赫数下求解平均流场，同时也使模型简单实用。该模型适用于具有任意比热比的理想气体。纳维尔？Stokes方程是由Chapman？BGK玻尔兹曼方程的Enskog方法。当粘性项和扩散项被视为离散误差时，该方程组就成为无粘欧拉方程组。在六角网格上进行了几次强激波流动的模拟，包括前台阶试验、双马赫反射试验和马赫数为5.09的强激波绕角绕射试验，显示了该模型模拟强激波传播的能力。
An adaptive lattice Boltzmann model for compressible flows is presented. The particle-velocity set is so large that the mean flow may have a high velocity. The support set of the equilibrium-distribution function is quite small and varies with the mean velocity and internal energy. The adaptive nature of this support set permits the mean flows to have high Mach number, meanwhile, it makes the model simple and practicable. The model is suitable for perfect gases with an arbitrary specific heat ratio. Navier?Stokes equations are derived by the Chapman?Enskog method from the BGK Boltzmann equation. When the viscous terms and the diffusion terms are considered as a discretion error this system becomes an inviscid Euler system. Several simulations of flows with strong shocks, including the forward-facing step test, double Mach reflection test, and a strong shock of Mach number 5.09 diffracting around a corner, were carried out on hexagonal lattices, showing the model's capability of simulating the propagation of strong shock waves.