中文摘要：

建立融化和自然对流耦合的格子Boltzmann双分布函数模型,采用焓法迭代求解相变非线性源项,并通过变松弛时间方法处理固液两相变热物性问题。热传导融化过程的计算值与分析解的对比分析说明该模型能够准确地模拟融化过程。自然对流条件下融化过程的模拟结果表明自然对流在一定程度上影响了融化传热及融化速率等,体现出与热传导融化不同的物理机制。

英文摘要：

A double distribution lattice Boltzmann model is developed and analysed to study the melting problem with the natural convection.An iterative enthalpy-based method is utilized to solve the nonlinear source term.The solid-liquid conjugate heat transfer is simulated based on an adjustable relaxation time.For conduction-dominated melting,the results of lattice Boltzmann simulation is consistent with the analytical solution.Due to the distinction between the convection-dominated melting and conduction-dominated melting,the natural convection has a profound influence on the heat transfer and melting velocity.