中文摘要：

提出一种新的基于投影法的隐式有限差分算法,用于计算速度场和压力。这种方法的特点是将计算区域根据雷诺数分成几个区域;对于远离壁面的区域,热金属流按牛顿流计算;对于贴近壁面的区域,热金属流按非牛顿流计算。通过非参数统计和实验的方法证明新算法的正确性。数值模拟结果表明,新算法的计算速度要快于基于SOLA-VOF法的显式有限差分方法。

英文摘要：

A new algorithm based on the projection method with the implicit finite difference technique was established to calculate the velocity fields and pressure.The calculation region can be divided into different regions according to Reynolds number.In the far-wall region,the thermal melt flow was calculated as Newtonian flow.In the near-wall region,the thermal melt flow was calculated as non-Newtonian flow.It was proved that the new algorithm based on the projection method with the implicit technique was correct through nonparametric statistics method and experiment.The simulation results show that the new algorithm based on the projection method with the implicit technique calculates more quickly than the solution algorithm-volume of fluid method using the explicit difference method.