| タイトル | Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations |
| 本文（外部サイト） | http://hdl.handle.net/2060/19880001113 |
| 著者（英） | Osher, Stanley; Sethian, James A. |
| 著者所属（英） | NASA Langley Research Center |
| 発行日 | 1987-09-01 |
| 言語 | eng |
| 内容記述 | New numerical algorithms are devised (PSC algorithms) for following fronts propagating with curvature-dependent speed. The speed may be an arbitrary function of curvature, and the front can also be passively advected by an underlying flow. These algorithms approximate the equations of motion, which resemble Hamilton-Jacobi equations with parabolic right-hand-sides, by using techniques from the hyperbolic conservation laws. Non-oscillatory schemes of various orders of accuracy are used to solve the equations, providing methods that accurately capture the formation of sharp gradients and cusps in the moving fronts. The algorithms handle topological merging and breaking naturally, work in any number of space dimensions, and do not require that the moving surface be written as a function. The methods can be used also for more general Hamilton-Jacobi-type problems. The algorithms are demonstrated by computing the solution to a variety of surface motion problems. |
| NASA分類 | MATHEMATICAL AND COMPUTER SCIENCES (GENERAL) |
| レポートNO | 88N10495
NAS 1.26:178382
NASA-CR-178382
ICASE-87-66 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/148633 |
