A novel two-dimensional coupled lattice Boltzmann model for thermal incompressible flows
A novel two-dimensional coupled lattice Boltzmann model for thermal incompressible flows
复制标题
热不可压缩流的新型二维耦合晶格玻尔兹曼模型
DOI：
10.1016/j.amc.2018.07.047
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发表时间：
2018-12-15
影响因子：
4
通讯作者：
Qian, Yuehong
中科院分区：
文献类型：
--
作者：
Wei, Yikun;Yang, Hui;Qian, Yuehong
建立了一种新的二维耦合格子Boltzmann模型，用于描述热不可压缩流体流动。在本模型中提出了一个修正的平衡分布函数。基于Boussinesq近似，将介观离散力耦合到修正的平衡分布函数中。该模型保留了标准格子Boltzmann方法的突出优点，同时具有较好的数值稳定性。通过对自然对流和Rayleigh-Benard对流的数值模拟，在较宽的Rayleigh数范围内验证了该模型的有效性。结果表明，该模型是求解自然对流和Rayleigh-Benard对流的一种有效的数值方法。此外，本模型也成功地评估考虑瑞利-泰勒不稳定性。与以往的热模型相比，该模型实现起来更加简单方便。(C)2018由Elsevier Inc.出版
A novel two-dimensional coupled lattice Boltzmann model is developed for thermal incompressible fluid flows. A modified equilibrium distribution function is proposed in the present model. A mesoscopic discrete force is coupled into the modified equilibrium distribution function based on the Boussinesq approximation. The outstanding advantages of the standard lattice Boltzmann method are retained in present model besides better numerical stability. The present model is validated by the numerical simulation of the natural and Rayleigh-Benard convection at a wide range of Rayleigh numbers. Excellent agreement between the present results and previous lattice Boltzmann method or theoretical prediction demonstrates that present model is an efficient numerical method for natural and Rayleigh-Benard convection. Further, present model is also successfully assessed considering Rayleigh-Taylor instability. It is also easier and convenient to be implemented as compared with the previous thermal models. (C) 2018 Published by Elsevier Inc.