Gielis superformula and wildfire models
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913385083305984 |
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| author | Javaloyes, Miguel Ángel Pendás-Recondo, Enrique Sánchez, Miguel |
| author_facet | Javaloyes, Miguel Ángel Pendás-Recondo, Enrique Sánchez, Miguel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06831 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gielis superformula and wildfire models Javaloyes, Miguel Ángel Pendás-Recondo, Enrique Sánchez, Miguel Differential Geometry 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. |
| title | Gielis superformula and wildfire models |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2406.06831 |