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Hyper singular boundary element formulation for the Grad-Shafranov equation as an axisymmetric problem
| Title: | Hyper singular boundary element formulation for the Grad-Shafranov equation as an axisymmetric problem |
| Authors: | Itagaki, Masafumi Browse this author →KAKEN DB | | Shimoda, Hiroshi Browse this author |
| Keywords: | nuclear fusion | | plasma | | axisymmetric | | Grad-Shafranov equation | | complete elliptic integrals | | hyper singular boundary integral equation | | Cauchy principal value integral |
| Issue Date: | Jun-2009 |
| Publisher: | Elsevier Ltd. |
| Journal Title: | Engineering Analysis with Boundary Elements |
| Volume: | 33 |
| Issue: | 6 |
| Start Page: | 845 |
| End Page: | 857 |
| Publisher DOI: | 10.1016/j.enganabound.2008.11.003 |
| Abstract: | 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). |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/39402 |
| 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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Submitter: 板垣 正文
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