多孔介质对流换热REV尺度三维多弛豫格子Boltzmann模型
Three-dimensional multiple-relaxation-time lattice Boltzmann model for convection heat transfer in porous media at the REV scale
摘要：
本文提出了一个三维多弛豫时间格子Boltzmann模型，用于多孔介质对流换热的REV尺度。该模型是在双分布函数（DDF）方法的框架下发展起来的：在广义非达西模型的基础上，提出了D3 Q19格点（或D3 Q15格点）密度分布函数的MRT-LB模型来模拟流场，提出了D3 Q7格点温度分布函数的MRT-LB模型来模拟温度场。利用该模型模拟了多孔通道内的混合对流流动和多孔空腔内的自然对流流动。数值计算结果表明了该模型在求解三维多孔介质对流换热问题中的有效性和准确性。数值结果表明，该模型在空间上具有近似二阶精度。此外，本文还提出了一个三维固液相变多孔介质对流换热的DDF-MRT模型。
英文摘要：
In this paper, a three-dimensional (3D) multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is presented for convection heat transfer in porous media at the representative elementary volume (REV) scale. The model is developed in the framework of the double-distribution-function (DDF) approach: an MRT-LB model of the density distribution function with the D3Q19 lattice (or D3Q15 lattice) is proposed to simulate the flow field based on the generalized non-Darcy model, while an MRT-LB model of the temperature distribution function with the D3Q7 lattice is proposed to simulate the temperature filed. The present model is employed to simulate mixed convection flow in a porous channel and natural convection in a cubical porous cavity. The numerical results demonstrate the effectiveness and accuracy of the present model in solving 3D convection heat transfer problems in porous media. The numerical results also demonstrate that the present model is approximately second-order accuracy in space. In addition, an enthalpy-based DDF-MRT model for 3D solid-liquid phase change with convection heat transfer in porous media is also presented.
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