两种数值格式对电磁轨道炮速度趋肤效应的计算与分析  

Calculation and Analysis of Velocity Skin-effect of Electromagnetic Railgun by Two Numerical Forms

作　　者：周鹏飞 栗保明[1] ZHOU Pengfei;LI Baoming(National Key Laboratory of Transient Physics,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]南京理工大学瞬态物理国家重点实验室,南京210094

出　　处：《高电压技术》2022年第6期2418-2424,共7页High Voltage Engineering

摘　　要：为了高效计算轨道炮速度趋肤现象,使用有限差分显式与隐式两种数值格式对其进行了数值仿真。对速度为0、20、40和60 m/s的情况使用了显式求解法;对速度为0、400、800和1 200 m/s的情况使用了隐式求解法;并对两种算法在低速与高速下的仿真结果进行了对比分析。结果表明:随着速度的增加趋肤现象逐渐加剧,在高速下磁扩散减弱,轨道内侧电流密度增大,x方向上电流密度梯度减小,将会均匀加剧整体轨道烧蚀;对比发现两种算法都可以在低速下得到较好的收敛,在高速下显式算法失稳,隐式算法收敛性不受速度影响,但空间步长较大时会导致数值振荡。In order to calculate the velocity skin effect of railgun efficiently, the explicit and implicit numerical algorithms of finite difference method are used to simulate it. The explicit method is used under the conditions of the velocity of 0,20, 40 and 60 m/s and the implicit method is used under the conditions of the velocity of 0, 400, 800 and 1 200 m/s. The simulation results of the two algorithms at low velocity and high velocity are compared and analyzed. The results show that, with the increase of the velocity, the skin effect gradually intensifies. At high velocity, the magnetic diffusion weakens, the current density inside the rail increases, and the current density gradient in the X direction decreases, which will uniformly aggravate the whole rail ablation. It is found that the two algorithms can achieve good convergence at low velocity. The explicit algorithm is unstable at high velocity. The convergence of implicit algorithm is not affected by the velocity, whereas the large space step will lead to numerical oscillation.

关 键 词：有限差分 趋肤效应 隐式 显式 电流密度 磁扩散 

分 类 号：TJ866[兵器科学与技术—武器系统与运用工程]