封闭方腔自然对流的格子-Boltzmann方法动态模拟

double distribution thermal lattice-Boltzmann model, using pressure distribution and energy distribution, is presented in this paper to overcome the weak compressibility at low Mach number of the model proposed by He Xiaoyi et al. Excellent agreement is obtained with the previous numerical solutions, when it is used to simulate the natural convection in a square cavity. The real-time development of the flow and heat transfer is reported and discussed in order to find some fundamental mechanisms of the enclosure natural convection. From the viewpoint of the movement and the interaction of vortex, we found it a complicated heat transfer and flow coupled phenomena, which is the complex result from the natural convection flow, pressure forced flow and the restriction of the cavity.