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

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タイトル: Hyper singular boundary element formulation for the Grad-Shafranov equation as an axisymmetric problem
著者: Itagaki, Masafumi 著作を一覧する
Shimoda, Hiroshi 著作を一覧する
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年 6月
出版者: Elsevier Ltd.
誌名: Engineering Analysis with Boundary Elements
巻: 33
号: 6
開始ページ: 845
終了ページ: 857
出版社 DOI: 10.1016/j.enganabound.2008.11.003
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).
資料タイプ: article (author version)
URI: http://hdl.handle.net/2115/39402
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 板垣 正文

 

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