Xu K, Lui S H
Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Jul;60(1):464-70. doi: 10.1103/physreve.60.464.
In this paper, a gas-kinetic Bhatnagar-Gross-Krook (BGK) model is constructed for the Rayleigh-Bénard thermal convection in the incompressible flow limit, where the flow field and temperature field are described by two coupled BGK models. Since the collision times in the corresponding BGK models can be different, the Prandtl number can be changed to any value instead of a fixed Pr=1 in the original BGK model [P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. 94, 511 (1954)]. The two-dimensional Rayleigh-Bénard thermal convection is studied and numerical results are compared with theoretical ones as well as other simulation results.
本文针对不可压缩流极限下的瑞利 - 贝纳德热对流构建了一种气体动力学的 Bhatnagar - Gross - Krook（BGK）模型，其中流场和温度场由两个耦合的 BGK 模型描述。由于相应 BGK 模型中的碰撞时间可以不同，普朗特数可以改变为任意值，而不是原始 BGK 模型 [P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. 94, 511 (1954)] 中固定的 Pr = 1。研究了二维瑞利 - 贝纳德热对流，并将数值结果与理论结果以及其他模拟结果进行了比较。
