Open AccessA NEW METHOD FOR SOLVING THE FREE-BOUNDARG MAGNETIC SURFACE EQUATION WITHOUT CONDUCTING SHELLS
Author(s) -
Shen Jie-Wu,
Zhou Yu-Mei,
Qing Cheng-Rui
Publication year - 1980
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.29.1058
Subject(s) - surface (topology) , dimension (graph theory) , transformation (genetics) , physics , plasma , coordinate system , boundary (topology) , mathematical analysis , boundary value problem , series (stratigraphy) , magnetic field , geometry , mathematics , quantum mechanics , paleontology , biochemistry , chemistry , biology , pure mathematics , gene
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.