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首页> 外文期刊>Journal of Computational Physics >An immersed boundary-thermal lattice Boltzmann method using an equilibrium internal energy density approach for the simulation of flows with heat transfer
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An immersed boundary-thermal lattice Boltzmann method using an equilibrium internal energy density approach for the simulation of flows with heat transfer

机译：使用平衡内部能量密度方法的浸入边界热格Boltzmann方法，用于模拟传热流动

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摘要

In present paper, a novel immersed boundary-thermal lattice Boltzmann method by the name of "an equilibrium internal energy density approach" is proposed to simulate the flows around bluff bodies with the heat transfer. The main idea is to combine the immersed boundary method (IBM) with the thermal lattice Boltzmann method (TLBM) based on the double population approach. The equilibrium internal energy density approach based on the equilibrium velocity approach [X. Shan, H. Chen, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E 47 (1993) 1815] is used to combine IBM with TLBM. The idea of the equilibrium internal energy density approach is that the satisfaction of the energy balance between heat source on the immersed boundary point and the amount of change of the internal energy density according to time ensures the temperature boundary condition on the immersed boundary. The advantages of this approach are the simple concept, easy implementation and the utilization of original governing equation without modification. The simulation of natural convection in a square cavity with various body shapes for different Rayleigh numbers has been conducted to validate the capability and the accuracy of present method on solving heat transfer problems. Consequently, the present results are found to be in good agreement with those of previous studies.
机译：在本文中，提出了一种新的名为“平衡内部能量密度法”的浸入式边界热晶格玻尔兹曼方法，以模拟在钝体周围的热传递。主要思想是将基于双重填充方法的沉浸边界方法（IBM）与热晶格玻尔兹曼方法（TLBM）相结合。基于平衡速度法的平衡内部能量密度法[X． Shan，H. Chen，Lattice Boltzmann模型，用于模拟具有多相和多组分的流动。修订版E 47（1993）1815]用于将IBM与TLBM合并。平衡内部能量密度方法的思想是，满足浸入边界点上的热源与内部能量密度随时间的变化量之间的能量平衡，可以确保浸入边界上的温度边界条件。这种方法的优点是概念简单，易于实现以及无需修改即可使用原始控制方程。为了验证本方法解决传热问题的能力和准确性，对具有不同瑞利数的不同体形方腔内自然对流进行了仿真。因此，发现目前的结果与以前的研究非常吻合。

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