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

Itagaki, Masafumi; Shimoda, Hiroshi

Engineering Analysis with Boundary Elements, 2009, 33(6), 845-857

Permalink : https://hdl.handle.net/2115/39402

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アクセス権	open access
URI	https://hdl.handle.net/2115/39402
タイトル	Hyper singular boundary element formulation for the Grad-Shafranov equation as an axisymmetric problem
著者	e-Rad_Researcher 30281786 著者名 Itagaki, Masafumi
著者	著者名 Shimoda, Hiroshi
言語	英語
キーワード	nuclear fusion
	plasma
	axisymmetric
	Grad-Shafranov equation
	complete elliptic integrals
	hyper singular boundary integral equation
	Cauchy principal value integral
発行日	2009-06
出版者	Elsevier Ltd.
収録物名	Engineering Analysis with Boundary Elements
巻(号)	33(6)
ページ	845-857
抄録	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).
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 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.enganabound.2008.11.003