中文摘要：

建立自然对流作用下融化的格子Boltzmann双分布函数模型,根据非线性对流扩散方程的格子Boltzmann模型理论提出一个新的表征融化温度场的分布函数演化方程,并通过变松弛时间方法处理固液两相变热物性传热问题.应用模型对热传导融化及自然对流融化特别固液变热物的融化过程进行模拟.模拟结果与分析解、经典的关联式结果吻合较好,模型的正确性得到了验证.模拟结果表明,自然对流对融化传热过程有着重要的影响,此外固相热传导也对融化传热、融化速率及固液两相温度分布都有一定影响.

英文摘要：

A lattice Boltzmann model is developed to simulate melting with natural convection.In a lattice Boltzmann model for non-linear convection diffusion equations,an evolution equation of temperature distribution is constructed with selecting an equilibrium distribution function and a nonlinear source term properly.Thermal properties of solid phase and liquid phase are accomplished by using an adjustable relaxation time.Simulation results agree well with analytical solution and correlation in previous studies.It indicates that natural convection has importanct influence on total heat transfer,and heat conduction of solid phase affects total heat transfer,melting velocity and temperature distribution.