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An extension of Draghicescu’s fast tree-code algorithm to the vortex method on a sphere
| Title: | An extension of Draghicescu’s fast tree-code algorithm to the vortex method on a sphere |
| Authors: | Sakajo, Takashi Browse this author →KAKEN DB |
| Keywords: | Fast tree-codenext term algorithms | | Flows on sphere | | Vortex method | | Vortex sheet |
| Issue Date: | 2008 |
| Publisher: | Elsevier B.V. |
| Journal Title: | Journal of Computational and Applied Mathematics |
| Publisher DOI: | 10.1016/j.cam.2008.07.021 |
| Abstract: | A fast and accurate algorithm to compute interactions between N point vortices and between N vortex blobs on a sphere is proposed. It is an extension of the fast tree-code algorithm developed by Draghicescu for the vortex method in the plane. When we choose numerical parameters in the fast algorithm suitably, the computational cost of O(N2) is reduced to O(N(logN)4) and the approximation error decreases like O(1/N) when N→∞, as demonstrated in the present article. We also apply the fast method to long-time evolution of two vortex sheets on the sphere to see the efficiency. A key point is to describe the equation of motion for the N points in the three-dimensional Cartesian coordinates. |
| Relation: | http://www.sciencedirect.com/science/journal/03770427 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/34773 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 坂上 貴之
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