Impact of topography and combustion functions on fire front propagation in an advection-diffusion-reaction model for wildfires
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913589694038016 |
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| author | Nieding, Luca Reisch, Cordula Langemann, Dirk Navas-Montilla, Adrián |
| author_facet | Nieding, Luca Reisch, Cordula Langemann, Dirk Navas-Montilla, Adrián |
| contents | Given the recent increase in wildfires, developing a better understanding of their dynamics is crucial. For this purpose, the advection-diffusion-reaction model has been widely used to study wildfire dynamics. In this study, we introduce the previously unconsidered influence of topography through an additional advective term. Furthermore, we propose a linear term for the combustion function, comparing it with the commonly used Arrhenius law to offer a simpler model for further analysis. Our findings on the model's dynamics are supported by numerical simulations showing the differences of model extensions and approximations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Impact of topography and combustion functions on fire front propagation in an advection-diffusion-reaction model for wildfires Nieding, Luca Reisch, Cordula Langemann, Dirk Navas-Montilla, Adrián Fluid Dynamics Dynamical Systems 35K57, 65M12, 92F05 Given the recent increase in wildfires, developing a better understanding of their dynamics is crucial. For this purpose, the advection-diffusion-reaction model has been widely used to study wildfire dynamics. In this study, we introduce the previously unconsidered influence of topography through an additional advective term. Furthermore, we propose a linear term for the combustion function, comparing it with the commonly used Arrhenius law to offer a simpler model for further analysis. Our findings on the model's dynamics are supported by numerical simulations showing the differences of model extensions and approximations. |
| title | Impact of topography and combustion functions on fire front propagation in an advection-diffusion-reaction model for wildfires |
| topic | Fluid Dynamics Dynamical Systems 35K57, 65M12, 92F05 |
| url | https://arxiv.org/abs/2410.02837 |