本文从解析模型与数值模拟两方面探究了超导体中涡旋的动力学过程．首先建立了涡旋动力学模型，求出解析解并绘图；然后在此基础上加入对涡旋相互作用力的考虑，结合牛顿法利用MATLAB进行数值模拟，探究了洛伦兹力大小、周期时长、涡旋数目对涡旋整体运动效果的影响；最后利用Ornstein-Uhlenbeck过程模拟热噪声，并借助Splitting method求朗之万方程数值解并绘制速度-周期图像，实现对超导体中涡旋动力学过程的简单模拟．

In this paper, the dynamics of vortices in superconductors is investigated by analytical model and numerical simulation. Firstly, the vortex dynamics model is established, and the analytical solution is obtained and plotted. Then, on this basis, the interaction force of vortices is considered, and the influence of Lorentz force, cycle length and number of vortices on the overall motion effect of vortices is explored by MATLAB numerical simulation combined with Newton method. Finally, the Ornstein-Uhlenbeck process is used to simulate the thermal noise, and the numerical solution of Langevin equation is obtained by Splitting method and the velocity-period image is drawn, so as to realize the simple simulation of vortex dynamics in superconductor.