Boundary element modelling to solve the Grad–Shafranov equation as an axisymmetric problem

Itagaki, Masafumi; Fukunaga, Takaaki

Boundary element modelling to solve the Grad–Shafranov equation as an axisymmetric problem

Itagaki, Masafumi; Fukunaga, Takaaki

Engineering Analysis with Boundary Elements, 2006, 30(9), 746-757

Permalink : https://hdl.handle.net/2115/14922

このアイテムのアクセス数:1,415件（2026-03-05 19:51 集計）

閲覧可能ファイル

ファイル	フォーマット	サイズ	閲覧回数	説明
EABE30-9	pdf	627 KB	1,791

論文情報

ファイル出力 EndNote Basic出力 Mendeley出力

アクセス権	open access
URI	https://hdl.handle.net/2115/14922
タイトル	Boundary element modelling to solve the Grad–Shafranov equation as an axisymmetric problem
著者	e-Rad_Researcher 30281786 著者名 Itagaki, Masafumi
著者	著者名 Fukunaga, Takaaki
言語	英語
キーワード	Nuclear fusion
	Grad–Shafranov equation
	Axisymmetric problem
	Polynomial expansion
	Singularity
	Eigenvalue
発行日	2006-09
出版者	Elsevier
収録物名	Engineering Analysis with Boundary Elements
巻(号)	30(9)
ページ	746-757
抄録	The Grad–Shafranov equation describes the magnetic flux distribution of plasma in an axisymmetric system like a tokamak-type nuclear fusion device. The equation is transformed into an equivalent boundary integral equation by expanding the inhomogeneous term related to the plasma current into a polynomial. In the present research, the singularity of the fundamental solution, which consists of two elliptic integrals, and the properties of singular integrals have been minutely investigated. The discontinuous quadratic boundary elements have been introduced to give an accurate solution with a small number of boundary elements. Ampere's circuital law has been applied to estimate the total plasma current from the boundary integral of the poloidal field, and based on this idea, a new scheme to calculate the eigenvalue has also been proposed.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
PISSN	0955-7997
関連情報	URI http://www.sciencedirect.com/science/journal/09557997
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.enganabound.2006.04.003