抄録
A new shape derivative formula for singular contour integrals with logarithmic kernels is proposed. This formula yields a simple numerical scheme for computing vortex patch equilibria. Owing to its simplicity, any steady configuration of point vortices can be extended to that of vortex patches. As a test problem, a doubly periodic array of vortex patches is considered to show the efficiency of the new formula. Several non-trivial families of stationary vortex patch lattices are also presented.
| 本文言語 | 英語 |
|---|---|
| ページ（範囲） | 86-100 |
| ページ数 | 15 |
| ジャーナル | Journal of Computational and Applied Mathematics |
| 巻 | 332 |
| DOI | |
| 出版ステータス | 出版済み - 2018/04 |
ASJC Scopus 主題領域
- 計算数学
- 応用数学