Computational study of three-dimensional magnetohydrodynamic equilibria in toroidal helical systems
Computational study of three-dimensional magnetohydrodynamic equilibria in toroidal helical systems
复制标题
环形螺旋系统三维磁流体动力学平衡的计算研究
DOI：
10.1016/0021-9991(89)90069-7
复制
发表时间：
1987
影响因子：
4.1
通讯作者：
Tetsuya Sato
中科院分区：
文献类型：
--
作者：
K. Harafuji;Takaya Hayashi;Tetsuya Sato
计算方法的基础上的时间依赖性松弛技术获得有限的β仿星器平衡，没有净电流进行说明。计算网格为欧拉网格，对应于空间固定的非正交螺旋坐标。由矩形网格构成的极向截面沿环向方向以与外部螺旋导体沿着相同的节距旋转。通过这种选择，可以处理复杂的现场拓扑结构并节省计算机内存。与柱坐标系下的计算结果相比，数值收敛性有了很大的提高。所开发的代码被应用到一个典型的低shp =2仿星器（温德尔斯坦VII-A）。此外，还给出了在低长径比为2的Torsatron中，由于有限β效应引起的磁面破碎。
Computational methods based on the time-dependent relaxation technique for obtaining finite beta stellarator equilibria with no net current are described. The computation grid is Eulerian corresponding to space-fixed non-orthogonal helical coordinates. The poloidal cross section, which is composed of rectangular grids, rotates with the same pitch as that of external helical conductors along the toroidal direction. By this choice, it is possible to handle complicated field topologies and to economize the computer memory. Also, numerical convergence is greatly improved compared with that in cylindrical coordinates. The developed code is applied to a typical low shearl=2 stellarator (Wendelstein VII-A). Furthermore, breaking up of magnetic surfaces due to finite β effect in a low aspect ratiol=2 torsatron is shown.