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The increasing frequency and intensity of wildfires underscore the need for accurate predictive models to enhance wildfire management. Traditional models, such as Rothermel and FARSITE, provide foundational insights but often oversimplify…

Systems and Control · Electrical Eng. & Systems 2024-12-30 Hengameh R. Dehkordi

Understanding the dynamics of wildfire is crucial for developing management and intervention strategies. Mathematical and computational models can be used to improve our understanding of wildfire processes and dynamics. This paper presents…

Dynamical Systems · Mathematics 2024-02-02 Cordula Reisch , Adrián Navas-Montilla , Ilhan Özgen-Xian

Forest fires pose a natural threat with devastating social, environmental, and economic implications. The rapid and highly uncertain rate of spread of wildfires necessitates a trustworthy digital tool capable of providing real-time…

The devastating effects of wildfires on the wildlife and their impact on human lives and properties are undeniable. This shows the importance of studying the spread of wildfire, predicting its behavior and presenting more reliable models…

Dynamical Systems · Mathematics 2021-03-29 Hengameh R. Dehkordi

Wildfires pose significant threats to ecosystems and communities, yet accurately modeling fire spread remains challenging, particularly in regions where environmental and fuel data are scarce or unavailable. This study introduces an…

Mathematical Physics · Physics 2025-12-12 Hengameh R. Dehkordi

The objective of the present study is twofold. First, the last developments and validation results of a hybrid model designed to simulate fire patterns in heterogeneous landscapes are presented. The model combines the features of a…

Atmospheric and Oceanic Physics · Physics 2016-02-08 Mohamed Drissi

This study presents a probabilistic surrogate model for localized wildfire spread based on a conditional flow matching algorithm. The approach models fire progression as a stochastic process by learning the conditional distribution of fire…

Machine Learning · Computer Science 2026-03-31 Bryan Shaddy , Haitong Qin , Brianna Binder , James Haley , Riya Duddalwar , Kyle Hilburn , Assad Oberai

In this work, we study the propagation of wildfires using an advection--diffusion--reaction model which also includes convective and radiative heat loss. An existing model is discussed \cite{asensio_2002} and a physically consistent…

Analysis of PDEs · Mathematics 2025-05-13 Koondanibha Mitra , Qiyao Peng , Cordula Reisch

Wildfires cause major losses worldwide, and the frequency of fire-weather conditions is likely to increase in many regions. We study the allocation of suppression resources over time on a graph-based representation of a landscape to slow…

Computational Engineering, Finance, and Science · Computer Science 2026-04-01 Gustavo Delazeri , Marcus Ritt

The availability of wildland fire propagation models with parameters estimated in an accurate way starting from measurements of fire fronts is crucial to predict the evolution of fire and allocate resources for firefighting. Thus, we…

Numerical Analysis · Mathematics 2020-12-21 Angelo Alessandri , Patrizia Bagnerini , Mauro Gaggero , Luca Mantelli

A geometric model for the computation of the firefront of a forest wildfire which takes into account several effects (possibly time-dependent wind, anisotropies and slope of the ground) is introduced. It relies on a general theoretical…

Differential Geometry · Mathematics 2024-08-07 Miguel Ángel Javaloyes , Enrique Pendás-Recondo , Miguel Sánchez

In the last decade, wildfires have become wider and more destructive. The climate change and the growth of urban areas may further increase the probability of incidence of large-scale fires. The risk of fire can be lowered with preventive…

Combinatorics · Mathematics 2021-03-19 Marc Demange , Alessia Di Fonso , Gabriele Di Stefano , Pierpaolo Vittorini

Anthropogenic climate change has increased the probability, severity, and duration of heat waves and droughts, subsequently escalating the risk of wildfires. Mathematical and computational models can enhance our understanding of wildfire…

Fluid Dynamics · Physics 2025-03-13 Adrián Navas-Montilla , Cordula Reisch , Pablo Diaz , Ilhan Özgen-Xian

Turbulence is of paramount importance in wildland fire propagation since it randomly transports the hot air mass that can pre-heat and then ignite the area ahead the fire. This contributes to give a random character to the firefront…

Atmospheric and Oceanic Physics · Physics 2014-08-27 Gianni Pagnini , Luca Massidda

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…

Fluid Dynamics · Physics 2024-12-02 Luca Nieding , Cordula Reisch , Dirk Langemann , Adrián Navas-Montilla

In this paper we present results of direct numerical simulations of lean hydrogen/air flames freely propagating in a planar narrow channel with varying flow rate, using detailed chemistry and transport and including heat losses through the…

Fluid Dynamics · Physics 2018-02-16 Carmen Jimenez , Vadim N. Kurdyumov

Increasing wildfire occurrence has spurred growing interest in wildfire spread prediction. However, even the most complex wildfire models diverge from observed progression during multi-day simulations, motivating need for data assimilation.…

For certain values of the wave speed parameter, evolution equations for the temperature of a region of fuel admit traveling wave solutions describing fire fronts. We consider such a system in the form of a nonlinear reaction-diffusion…

Pattern Formation and Solitons · Physics 2024-10-29 Olivia Chandrasekhar , Christopher K. R. T. Jones , Blake Barker , Rodman Linn

Wildfires propagate through intricate interactions between wind, fuel, and terrain, resulting in complex behaviors that pose challenges for accurate predictions. This study investigates the interaction between wind velocity topology and…

Fluid Dynamics · Physics 2025-04-23 Siva Viknesh , Ali Tohidi , Fatemeh Afghah , Rob Stoll , Amirhossein Arzani

The critical dimension necessary for a flame to propagate in suspensions of fuel particles in oxidizer is studied analytically and numerically. Two types of models are considered: First, a continuum model, wherein the individual particulate…

Fluid Dynamics · Physics 2019-12-23 Fredric Y. K. Lam , XiaoCheng Mi , Andrew J. Higgins
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