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arXiv · 2410.02837

Impact of topography and combustion functions on fire front propagation in an advection-diffusion-reaction model for wildfires

Luca Nieding·Cordula Reisch·Dirk Langemann·Adrián Navas-Montilla
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Abstract

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.

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Luca Nieding, Cordula Reisch, Dirk Langemann, Adrián Navas-Montilla. 2024-10-02. Impact of topography and combustion functions on fire front propagation in an advection-diffusion-reaction model for wildfires. https://arxiv.org/abs/2410.02837

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