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

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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
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)
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)

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