高温超导体磁通跳跃数值模拟

Numerical simulation on flux jump at high superconductor

文中基于超导磁通动力学理论,考虑电磁力与热激活对磁通运动的影响,基本物理模型由等效电阻率随超导体温度和磁场变化的磁通扩散方程,以及比热随超导体温度变化的热传导方程组成。在此基础上,用差分法数值求解了这一复杂非线性系统的磁热耦合控制方程,得到了与实验观测结果基本一致的数值模拟结果。结果还表明：外加磁场变化速度、超导体初始温度以及超导尺寸对于磁通跳跃均产生明显的影响。

Based on the superconducting flux dynamical theory with considering thermal activate and electromagnet force, the fundamental model is composed of magnetic diffusion equation, which the equivalent resistivity varies with the temperature and magnetic flux in the superconductor,and heat diffusion equation, which the specific heat varies with the temperature in the superconductor. The complex nonlinear control equations of magnetothermal couple are resolved in the method of finite difference. The numerical results are qualitative agreement with the experimental ones. The results show applied sweep rates, ambient temperature and dimension of superconductor effect occurrence of magnetic flux jumps.