中文摘要：

基于双分布格子Boltzmann模型,建立了适合于流体流动和换热的热格子Boltzmann模型.温度分布函数中采用D2Q9离散速度模型.以热格子Boltzmann模型,模拟了方腔内自然对流的形成及其演化,通过与相关文献的计算结果对比可以发现,热格子Boltzmann模型在处理流体流动与传热方面存在着独特的优点,文中建立的数值模拟计算方法和程序是切实有效的.

英文摘要：

This paper established the thermal Lattice Boltzmann model of fluid flow and heat transfer,which is based on double lattice Boltzmann distribution model[1]. The temperature distribution adopted D2Q9 velocity model. Based on this thermal lattice Boltzmann model,this paper simulated the formation and evolution of the natural convection of the square cavity. Comparing the simulation results with the traditional calculation results, it can be found that the thermal lattice Boltzmann model on fluid flow and heat transfer has the unique advantage, and the methods and procedures established in this paper are effective.