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

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

doi:10.1016/j.enganabound.2009.05.003


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

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/39401

Title:	Quasi-radial basis functions applied to boundary element solutions for the Grad-Shafranov equation
Authors:	Itagaki, Masafumi Browse this author →KAKEN DB
	Nakada, Kenji Browse this author
	Tanaka, Hisataka Browse this author
	Wakasa, Arimitsu Browse this author
Keywords:	Nuclear fusion
	Plasma
	Axisymmetric
	Grad-Shafranov equation
	Boundary integral equation
	Quasi-radial basis function
	Gaussian function
	Scaling factor
	Nonlinear optimization
Issue Date:	Nov-2009
Publisher:	Elsevier Ltd.
Journal Title:	Engineering Analysis with Boundary Elements
Volume:	33
Issue:	11
Start Page:	1258
End Page:	1272
Publisher DOI:	10.1016/j.enganabound.2009.05.003
Abstract:	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.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/39401
Appears in Collections:	工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 板垣正文

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