给出了格子Boltzmann方法(LBM)密度分布函数和温度分布函数的两个重构算子,解决了LBM与其它方法耦合的关键难题。构造了LBM与有限容积法(FVM)以及LBM与分子动力模拟方法(MD)的两个耦合模型。通过方腔自然对流以及平板通道内的泊肃叶流动对耦合模型进行验证。结果表明,基于重构算子的耦合模型可以正确地应用于LBM与其它方法的耦合计算中。
Two analytic expressions have been proposed to solve the key difficulty of coupling LBM with other methods.These are called density distribution reconstruction operator and temperature distribution reconstruction operator.The mesoscopic LBM is coupled upward with macroscopic FVM and downward with microscopic MD.FVM-LBM coupled model is validated by 2D natural convection in a square cavity.LBM-MD coupled model is applied to simulate Poiseuille flows.The results are in good agreement with benchmark results,which verifies the validation of the coupled models based on the reconstruction operators.