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arXiv · 2406.06831

Gielis superformula and wildfire models

Miguel Ángel Javaloyes·Enrique Pendás-Recondo·Miguel Sánchez
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Abstract

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.

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Miguel Ángel Javaloyes, Enrique Pendás-Recondo, Miguel Sánchez. 2024-06-10. Gielis superformula and wildfire models. https://arxiv.org/abs/2406.06831

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