格子玻尔兹曼模拟方法(Lattice Boltzmann Method，LBM)被广泛应用于流体力学问题的研究中，本文采用LBM 方法对牛顿流体和非牛顿流体的泊肃叶流动进行了模拟，还通过模拟圆柱绕流问题演示了层流和湍流现象并阐明了雷诺数的概念. 将LBM 模拟结果与大学物理的相关流体力学知识相联系，不仅可以直观地解释抽象的流体力学概念，而且能够培养学生采用计算物理学手段解决实际问题的思维方式.

Based on the Boit-Savart law，the concepts of effective radius，effective spatial location and effective spatial orientation are introduced by comparing the far-field approximate calculation of charged current loops and the dipole magnetic field with the strict calculation of the magnetic field of the solenoids. By optimizing the solenoid structure and rebuilding，the computing model can overcome the limited length effect of the spatial magnetic field brought by the solenoid itself effectively. By simulating the system within the effective region，the result shows that the far-field approximate calculation of the dipole magnetic field not only meets the accuracy in magnetic field calculation but also has very fast calculation speed. The method can realize the magnetic calculation with the complex structure from many solenoids in real time and satisfy the real-time requirement of spatial positioning and electromagnetic navigation.