Gielis superformula and wildfire models

2024/06/10 by Miguel Ángel Javaloyes, Enrique Pendás-Recondo, Javaloyes, Miguel Ángel +3 · 1 citation
Environmental Science · #Differential Geometry (math.DG) #FOS: Mathematics #Fire effects on ecosystems

paper · pdf · doi:10.48550/arxiv.2406.06831

openalex publication_date 2024/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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