论文标题
改进了亚音速和超音速流的标准晶格的可压缩混合晶格玻尔兹曼方法
Improved compressible Hybrid Lattice Boltzmann Method on standard lattice for subsonic and supersonic flows
论文作者
论文摘要
提出了D2Q9混合晶格Boltzmann方法（HLBM），以模拟可压缩亚音速和超音速流。该HLBM是Feng等人的模型的扩展：[12]，通过不同的测试用例发现，对于超音速制度而言，它是不稳定的。改进包括：（1）晶格闭合校正项的新离散化，使得可以正确模拟超音速流，（2）考虑到多原子气体的校正后粘性应力张量，以及（3）对粘性热量生产术语的新型离散化，使粘性热量拟合拟合正式形式。结果是一种混合方法，该方法可以用LBM算法解析质量和动量方程，并使用有限的体积方法解析基于熵的能量方程。这种方法完全恢复了Navier-Stokes Quier方程的物理，并具有理想的状态气体方程，并且从亚音速到超音速制度有效。然后，它通过涉及冲击的平滑流和流量成功评估。所提出的模型被证明是经典Navier-Stokes方法的有效，准确且可靠的替代品，用于模拟可压缩流量
A D2Q9 Hybrid Lattice Boltzmann Method (HLBM) is proposed for the simulation of both compressible subsonic and supersonic flows. This HLBM is an extension of the model of Feng et al: [12], which has been found, via different test cases, to be unstable for supersonic regimes. The improvements consist of: (1) a new discretization of the lattice closure correction term making possible to properly simulate supersonic flows, (2) a corrected viscous stress tensor that takes into account polyatomic gases, and (3) a novel discretization of the viscous heat production term fitting with the regularized formalism. The result is a hybrid method that resolves the mass and momentum equations with an LBM algorithm, and resolves the entropy-based energy equation with a finite volume method. This approach fully recovers the physics of the Navier-Stokes-Fourier equations with the ideal gas equation of state, and is valid from subsonic to supersonic regimes. It is then successfully assessed with both smooth flows and flows involving shocks. The proposed model is shown to be an efficient, accurate, and robust alternative to classic Navier-Stokes methods for the simulation of compressible flows
