DIRECT VARIATIONAL SOLUTIONS TO THE GRAD-SCHLUTER-SHAFRANOV EQUATION

被引：11

作者：

LUDWIG, GO ^{[1
]}

机构：

[1] INST NACL PESQUISAS ESPACIAIS,BR-12201970 S JOSE CAMPOS,SP,BRAZIL

来源：

PLASMA PHYSICS AND CONTROLLED FUSION | 1995年 / 37卷 / 06期

关键词：

D O I：

10.1088/0741-3335/37/6/003

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：

A direct variational method based on an energy principle is applied to obtain approximate magnetohydrodynamic equilibria for tokamak plasmas. The geometry of the nested magnetic flux surfaces is specified by a model that includes displacement, elongation and triangularity effects. The radial dependence in flux coordinates is described by a consistent set of trial functions which allows analytical calculation of the flux-surface averaged internal energy density of the plasma. Approximate solutions of the variational problem are obtained for arbitrary aspect-ratio tokamaks using a one-parameter optimization procedure.

引用

页码：633 / 646

页数：14

共 10 条

[1] SOME NEW VARIATIONAL PROPERTIES OF HYDROMAGNETIC EQUILIBRIA [J].

GRAD, H .

PHYSICS OF FLUIDS, 1964, 7 (08) :1283-1292

[2]

GRAD H, 1958, 2 P INT C PEAC US, V31, P190

[3]

KHAIT VD, 1980, SOV J PLASMA PHYS, V6, P476

[4] EQUILIBRIUM OF A MAGNETICALLY CONFINED PLASMA IN A TOROID [J].

KRUSKAL, MD ;

KULSRUD, RM .

PHYSICS OF FLUIDS, 1958, 1 (04) :265-274

[5] VARIATIONAL MOMENT SOLUTIONS TO THE GRAD-SHAFRANOV EQUATION [J].

LAO, LL ;

HIRSHMAN, SP ;

WIELAND, RM .

PHYSICS OF FLUIDS, 1981, 24 (08) :1431-1441

[6]

LUST R, 1957, Z NATURFORSCH A, V12, P85

[7]

SHAFRANOV VD, 1958, ZH EKSP TEOR FIZ, V6, P545

[8]

WEITZNER H, 1981, PHYS FLUIDS, V24, P1431

[9]

ZHAKHAROV LE, 1986, REV PLASMA PHYSICS, V11, P153

[10]

1992, MATHEMATICA

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