Quasi-radial basis functions applied to boundary element solutions for the Grad-Shafranov equation

Itagaki, Masafumi; Nakada, Kenji; Tanaka, Hisataka; Wakasa, Arimitsu

Quasi-radial basis functions applied to boundary element solutions for the Grad-Shafranov equation

Itagaki, Masafumi; Nakada, Kenji; Tanaka, Hisataka et al.

Engineering Analysis with Boundary Elements, 2009, 33(11), 1258-1272

Permalink : https://hdl.handle.net/2115/39401

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アクセス権	open access
URI	https://hdl.handle.net/2115/39401
タイトル	Quasi-radial basis functions applied to boundary element solutions for the Grad-Shafranov equation
著者	Itagaki, Masafumi ; Nakada, Kenji ; Tanaka, Hisataka ; Wakasa, Arimitsu
e-Rad_Researcher 30281786 著者名 Itagaki, Masafumi
著者名 Nakada, Kenji
著者名 Tanaka, Hisataka
著者名 Wakasa, Arimitsu
言語	英語
キーワード	Nuclear fusion
	Plasma
	Axisymmetric
	Grad-Shafranov equation
	Boundary integral equation
	Quasi-radial basis function
	Gaussian function
	Scaling factor
	Nonlinear optimization
発行日	2009-11
出版者	Elsevier Ltd.
収録物名	Engineering Analysis with Boundary Elements
巻(号)	33(11)
ページ	1258-1272
抄録	The Grad-Shafranov equation for axisymmetric fusion plasma has been transformed into a boundary integral equation by expanding the inhomogeneous current density term into a set of 'quasi' radial basis functions (RBFs). These quasi RBFs are derived in such a way that a particular solution for the Grad-Shafranov equation will be a simple Gaussian function. Two or three stages of eigenvalue iterations are required together with a nonlinear optimization to update the scaling factor of each quasi RBF It has been found that excellent accuracy of the boundary element solution can be realized with a small number of quasi RBFs when adopting RBF-dependent scaling factors.
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.2009.05.003