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无导体壁时无穷远边界自由界面磁面方程求解的一个新方法

沈解伍 周玉美 庆承瑞

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无导体壁时无穷远边界自由界面磁面方程求解的一个新方法

沈解伍, 周玉美, 庆承瑞

A NEW METHOD FOR SOLVING THE FREE-BOUNDARG MAGNETIC SURFACE EQUATION WITHOUT CONDUCTING SHELLS

SHEN JIE-WU, ZHOU YU-MEI, QING CHENG-RUI
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  • 本文将文献[1]中求解有导体壁的自由界面磁面方程的迭代计算方法推广到无导体壁的无穷远区域中。为此,引进坐标变换x′=x/(1+x),这样既可以在等离子体所在区域保持足够的精度,又可以在真空区大大加大步长。然后,对等离子体电流存在的径向范围作出限制后,用文献[1]中同样的迭代序列,可以找到经过外侧径向限制器的等离子体平衡解。文中以一维模型为例,用这种方法得到数值解后,和严格的解析解作了比较,讨论了解的特点。这种方法,可以毫无困难地推广到二维的情况。
    The iteration method for solving the free-boundary magnetic surface equation with conducting shells has been generalized to the case of infinite region with external currents and without conducting shells. In order to do this a coordinate transformation of the form x′=x/(1+x) is carried out which enables to get a sufficient accuracy inthe region of plasmas while the meshes in the region of vacuum would not be increased. After restricting the radial region of the plasma currents the iteraction series described in [1] can be used to find the equilibrium solution of magnetic surface equation. The numerical solution of this equation in one dimension is obtained and compared with the result obtained analytically. The method described above can effectively be used in cases of two-dimension without difficulties.
  • [1]
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  • 文章访问数:  7978
  • PDF下载量:  431
  • 被引次数: 0
出版历程
  • 收稿日期:  1978-10-25
  • 刊出日期:  1980-04-05

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