Lattice BGK Models for the Navier-Stokes Equation: Nonlinear Deviation in Compressible Regimes
Lattice BGK Models for the Navier-Stokes Equation: Nonlinear Deviation in Compressible Regimes
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DOI：
10.1209/0295-5075/21/3/001
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发表时间：
1993-01
期刊：
影响因子：
1.8
通讯作者：
Y. Qian;S. Orszag
中科院分区：
文献类型：
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作者：
Y. Qian;S. Orszag
在这封信中，从最近提出的LBGK模型中得到了与Navier-Stokes方程的非线性偏差，这些模型被设计为晶格气体或晶格Boltzmann方程的替代。推广了经典的Chapman-Enskog方法，得到了非线性偏差项及其系数。由于LBGK模型的简单性，首次导出了它们的解析表达式。给出了激波型线的数值模拟结果。讨论了修正对可压缩流动动力学的影响。包括温度在内的完整的热力学分析将在别处公布。
In this letter, a nonlinear deviation from the Navier-Stokes equation is obtained from the recently proposed LBGK models, which are designed as an alternative to lattice gas or lattice Boltzmann equation. The classical Chapman-Enskog method is extended to derive the nonlinear-deviation term as well as its coefficient. Their analytical expression is derived for the first time, thanks to the simplicity of the LBGK models. A numerical simulation of a shock profile is presented. The influence of the correction on the kinetics of compressible flow is discussed. A complete analysis of the thermodynamics including the temperature will be presented elsewhere.