Hyper singular boundary element formulation for the Grad-Shafranov equation as an axisymmetric problem

被引：5

作者：

Itagaki, Masafumi ^{[1
]}

Shimoda, Hiroshi ^{[1
]}

机构：

[1] Hokkaido Univ, Grad Sch Engn, Kita Ku, Sapporo, Hokkaido 0608628, Japan

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2009年 / 33卷 / 06期

关键词：

Nuclear fusion; Plasma; Axisymmetric; Grad-Shafranov equation; Complete elliptic integrals; Hyper singular boundary integral equation; Cauchy principal value integral; INTEGRAL-EQUATION; POLYNOMIAL EXPANSION; PROFILE; SOLVE;

D O I：

10.1016/j.enganabound.2008.11.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Grad-Shafranov equation describes the magnetic flux distribution of plasma in an axisymmetric system such as a tokamak-type nuclear fusion device. This paper presents a scheme to solve the hyper singular boundary integral equation (HBIE) corresponding to this Grad-Shafranov equation. All hyper and strong singularities caused by differentials of the complete elliptic integrals have been regularized up to the level of the Cauchy principal value integral. Test calculations commonly using discontinuous boundary elements have been made to compare the HBIE solutions with the solutions of the standard boundary integral equation (SBIE). (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：845 / 857

页数：13

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