用时域有限差分法实现金属支撑杆的计算机模拟

Using finite-difference time-domain method to realize computer simulation of strut

在三维Yee网格模型以及蛙跳模型的基础上建立了支撑杆的数学模型,推导了支撑杆在三维直角坐标系下的电流及单位长度上电感的计算公式.讨论了二维、三维空间网格上不同支撑杆取向及不同坐标系下的实现方法,同时也给出了支撑杆在时域有限差分主迭代循环中的子迭代方法.以磁绝缘线振荡器为例,从其粒子运动及输出功率方面验证了模拟的正确性.

The mathematic model of strut was established on the model of Yee grid in three-dimensional space and on the model of leapfrog in time-domain. The formula of strut current and inductance per unit length in three-dimensional Cartesian coordinates were deduced. The realization of struts in different orientations and different coordinate systems in two-dimensional and three- dimensional space was discussed. At the same time the iterative process under main finite-differential time-domain iteration of strut was given. Finally, magnetically insulated transmission line oscillator was used as an example to validate the simulation for output power and particle movement.