In this paper, we study the vortex dynamics of the open superconducting square tubes in the presence of external magnetic field by the time-dependent Ginzburg-Landau (TDGL) equations coupling with heat dissipation equation. The influences of geometry and the environment temperature are considered. It is found that the size and location of the hole have a significant effect on the vortex dynamics and configuration in the magnetic field increasing with time. However, they are more preferring to enter the samples with square hole due to the much larger current density at the inner corner, while the vortices can penetrate into the samples with circle hole along special directions such as the horizontal axes from the inner surface. When the thermal effect and the energy dissipation are considered, the energy dissipation caused by the vortex motion leads to a more concentrated distribution of the vortices and a local temperature rise which can attract the following vortices. And when the sample is in the constant magnetic field, the thermal effect also has an obvious effect on the vortex configuration and causes a large jump in number of vortices under the relatively high field.

在本文中，我们通过时间相关的吉恩茨堡-朗道（TDGL）方程和散热方程，研究了在存在外部磁场的情况下开放式超导方管的涡旋动力学。考虑几何形状和环境温度的影响。发现孔的大小和位置对涡旋动力学和磁场中的构型具有显着的影响，其随时间增加。但是，由于内角处的电流密度大得多，因此他们更倾向于使用方孔样品，而旋涡可以沿着特殊方向（例如从内表面开始的水平轴）穿透带有圆孔的样品。当考虑热效应和能量耗散时，涡旋运动引起的能量耗散导致涡旋的分布更加集中，并且局部温度升高会吸引随后的涡旋。而且，当样品处于恒定磁场中时，热效应也对旋涡构型有明显影响，并且在相对高的磁场下会导致旋涡数出现较大的跳跃。