Experimental data on the propagation of wildfires show that its short-time spread has a double semi-elliptical shape. Our main goal is to show that this shape can be accurately approximated in polar coordinates by choosing suitable parameters in Gielis superformula and, then, implemented in a geometrical model for wildfire propagation. In this model, the firefront can be determined by computing the lightlike geodesics of a specific Finsler spacetime, and we derive a concise and efficient expression of the geodesic equations in these coordinates.
Cite
@article{arxiv.2406.06831,
title = {Gielis superformula and wildfire models},
author = {Miguel Ángel Javaloyes and Enrique Pendás-Recondo and Miguel Sánchez},
journal= {arXiv preprint arXiv:2406.06831},
year = {2024}
}
Comments
19 pages, 6 figures, submitted to the Proceedings of Square Bamboos and Geometrees