| Автор | Roberts, Stephen |
| Дата выпуска | 1993 |
| dc.description | AbstractIn this paper we shall describe a numerical method for the solution of curve flow problems in which the normal velocity of the curve depends locally on the position, normal and curvature of the curve. The method involves approximating the curve by a number of line elements (segments) which are only allowed to move in a direction normal to the element. Hence the normal of each line element remains constant throughout the evolution. In regions of high curvature elements naturally tend to accumulate. The method easily deals with the formation of cusps as found in flame propagation problems and is computationally comparable to a naive marker particle method. As a test of the method we present a number of numerical experiments related to mean curvature flow and flows associated with flame propagation and bushfires. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Australian Mathematical Society 1993 |
| Название | A line element algorithm for curve flow problems in the plane |
| Тип | research-article |
| DOI | 10.1017/S0334270000009152 |
| Electronic ISSN | 1446-8735 |
| Print ISSN | 0334-2700 |
| Журнал | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| Том | 35 |
| Первая страница | 244 |
| Последняя страница | 261 |
| Аффилиация | Roberts Stephen; Australian National University |
| Выпуск | 2 |
