中文摘要：

采用Brinkmann-Forchheimer-Darcy方程描述多孔介质内流动过程,并通过选择合适的平衡态分布函数及非线性源项形式构建出表征融化相变温度场的分布函数演化方程。应用格子Boltzmann模型模拟了方腔内无多孔介质以及填充多孔介质自然对流融化传热过程,模拟结果与其他文献结果吻合较好,模型的正确性得到了一定的验证。模拟结果还表明液相的自然对流对融化传热过程有着重要的影响,并且在高Rayleigh数或高Darcy数情况下作用更强。在高Darcy数情况下由于非Darcy效应的存在,增大Rayleigh数以强化融化传热的效应要大于提高同样倍数Darcy数的效应。

英文摘要：

The Brinkmann-Forchheimer-Darcy equation is used to characterize the flow in porous media.An evolution equation of the temperature distribution function is developed through selecting the equilibrium distribution function and nonlinear source term properly.The melting with natural convection in a cavity with and without porous matrix is simulated using the present model.Numerical results agree well with previous solutions,so the accuracy of the present model is verified.The simulation results indicate that the effect of natural convection on the melting process becomes much stronger with the increases of the Rayleigh number and the Darcy number.Under the conditions with high Darcy number,the effect of increasing the Rayleigh number on heat transfer is greater than that of increasing the Darcy number,due to non-Darcy effect.