open access

https://hdl.handle.net/2115/58433

Boundary-only integral equation approach based on polynomial expansion of plasma current profile to solve the Grad–Shafranov equation

英語

boundary-only integral

2004-03

IOP Publishing

Nuclear Fusion

44(3)

427-437

A new type of boundary element method (BEM) has been applied to solve the Grad–Shafranov equation and to give a distribution of magnetic flux function in a tokamak nuclear fusion device. The quantity μ0rjphiv related to the plasma current profile is expanded into a two-dimensional polynomial. Using the particular solution of the Grad–Shafranov equation with this inhomogeneous polynomial source and applying Green's second identity, the domain integral related to the plasma current is transformed into an equivalent boundary integral. Domain discretization is not required in this formulation, thus preserving all the advantages of the BEM. Numerical computations of all boundary integrals are only required in the initial stage of the eigenvalue iteration, so that the number of eigenvalue iterations does not hamper the total computing time. Test calculations demonstrated that the present method provides stable and accurate solutions.

学術雑誌論文

Accepted Manuscript

© 2004 IOP Publishing Ltd.　This is an author-created, un-copyedited version of an article accepted for publication in Nuclear Fusion. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/0029-5515/44/3/008

0029-5515

1741-4326