Toroidal equilibria in spherical coordinates

被引：4
|
作者：
Tsui, K. H. [1 ]
机构：
[1] Univ Fed Fluminense, Inst Fis, BR-24210346 Niteroi, RJ, Brazil
来源：
PHYSICS OF PLASMAS | 2008年 / 15卷 / 11期
关键词：
plasma toroidal confinement;
D O I：
10.1063/1.3006340
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The standard Grad-Shafranov equation for axisymmetric toroidal plasma equilibrium is customary expressed in cylindrical coordinates with toroidal contours, and through which benchmark equilibria are solved. An alternative approach to cast the Grad-Shafranov equation in spherical coordinates is presented. This equation, in spherical coordinates, is examined for toroidal solutions to describe low beta Solovev and high beta plasma equilibria in terms of elementary functions.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] Some problems of axisymmetric toroidal equilibria in orthogonal flux coordinates
    V. V. Arsenin
    A. A. Skovoroda
    Plasma Physics Reports, 2014, 40 : 489 - 504
  • [2] Some problems of axisymmetric toroidal equilibria in orthogonal flux coordinates
    Arsenin, V. V.
    Skovoroda, A. A.
    PLASMA PHYSICS REPORTS, 2014, 40 (07) : 489 - 504
  • [3] STRINGLIKE SOLITONS IN TOROIDAL COORDINATES
    WILLIAMS, JG
    CANADIAN JOURNAL OF PHYSICS, 1979, 57 (04) : 590 - 592
  • [4] Topological coordinates for toroidal structures
    László, I
    Rassat, A
    Fowler, PW
    Graovac, A
    CHEMICAL PHYSICS LETTERS, 2001, 342 (3-4) : 369 - 374
  • [5] EQUILIBRIUM CONDITION OF AN AXISYMMETRIC TOROIDAL PLASMA COLUMN IN TOROIDAL COORDINATES
    MARCILHACY, MG
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE B, 1976, 282 (08): : 177 - 179
  • [6] Fixed boundary toroidal plasma equilibria with toroidal flows
    Hu, Yanqiang
    Hu, Yemin
    Xiang, Nong
    PHYSICS OF PLASMAS, 2016, 23 (04)
  • [7] Choice of coordinates on a toroidal magnetic surface
    Skovoroda, A. A.
    PLASMA PHYSICS REPORTS, 2008, 34 (11) : 887 - 894
  • [8] RAY TRACING IN AXISYMMETRIC TOROIDAL COORDINATES
    GRALNICK, SL
    DALHED, HE
    NUCLEAR SCIENCE AND ENGINEERING, 1977, 64 (02) : 373 - 378
  • [9] Choice of coordinates on a toroidal magnetic surface
    A. A. Skovoroda
    Plasma Physics Reports, 2008, 34 : 887 - 894
  • [10] A space-time in toroidal coordinates
    Krisch, JP
    Glass, EN
    JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (07) : 3046 - 3058
12345