格子波尔兹曼方法模拟外掠圆管的流动与换热

Simulation of fluid flow and heat transfer around a cylinder by lattice Boltzmann method

运用格子波尔兹曼方法(LBM)对流体外掠圆管的流动和换热进行了数值模拟,分析了不同雷诺数下流场和温度场的分布特点,并将Re为0.8时中心线速度分布的模拟结果以及Re为34时y方向上速度分布的模拟结果与Oseen理论解和实验数据分别进行了对比,具有很好的吻合度。此外,对曲面边界提出了固体内部节点选取方法,节点温度差分数值求解方法,使模拟方法具有良好的数值稳定性和精确性。数值计算结果表明格子波尔兹曼方法能有效模拟外掠圆管流体流动现象。

The fluid flow and heat transfer around a circular cylinder were numerically simulated by using lattice Bohzmann method （LBM）. The fluid velocity and temperature profiles at different Reynolds numbers were calculated numerically and compared with the analytical solution and experimental data. It shows that the simulation results of velocity profiles at Re = 0.8 and Re = 34 are in good agreement with Oseen analytical solution and the experimental data. Moreover, the method for selecting the inner nodes inside the solid and the method of temperature difference calculation were proposed for the curved boundary, which leads to better numerical accuracy and stability. The numerical simulations demonstrate that the lattice Bohzmann method is a simple and accurate numerical algorithm for fluid flow and heat transfer around a cylinder.