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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

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

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…

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

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

A two-dimensional model of wildfire spread and merger is presented. Three features affect the fire propagation: (i) a constant basic rate of spread term accounting for radiative and convective heat transfer, (ii) the unidirectional,…

Computational Physics · Physics 2024-08-13 Samuel J. Harris , N. R. McDonald

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…

Differential Geometry · Mathematics 2024-06-12 Miguel Ángel Javaloyes , Enrique Pendás-Recondo , Miguel Sánchez

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

In recent years, advances in computational power and spatial data analysis (GIS, remote sensing, etc) have led to an increase in attempts to model the spread and behvaiour of wildland fires across the landscape. This series of review papers…

Geophysics · Physics 2010-07-28 A. L. Sullivan

In recent years, advances in computational power and spatial data analysis (GIS, remote sensing, etc) have led to an increase in attempts to model the spread and behaviour of wildland fires across the landscape. This series of review papers…

Geophysics · Physics 2010-07-28 A. L. Sullivan

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

Wildfires represent a problem for ecosystems, human activities, and economies, driven by the climate crisis and land-use changes. Predicting wildfire propagation through mathematical modelling is essential for damage mitigation and risk…

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

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

Wildfire is an important system process of the earth that occurs across a wide range of spatial and temporal scales. A variety of methods have been used to predict wildfire phenomena during the past century to better our understanding of…

Applications · Statistics 2013-12-24 S. W. Taylor , Douglas G. Woolford , C. B. Dean , David L. Martell

With the increased size and frequency of wildfire eventsworldwide, accurate real-time prediction of evolving wildfirefronts is a crucial component of firefighting efforts and for-est management practices. We propose a wildfire…

Computer Vision and Pattern Recognition · Computer Science 2020-09-10 Maxfield E. Green , Karl Kaiser , Nat Shenton

Front propagation described by Huygens' principle is a fundamental mechanism of spatial spreading of a property or an effect, occurring in optics, acoustics, ecology and combustion. If the local front speed varies randomly due to…

Classical Physics · Physics 2007-11-27 Jackson R. Mayo , Alan R. Kerstein

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

A wildland fire model based on semi-empirical relations for the spread rate of a surface fire and post-frontal heat release is coupled with the Weather Research and Forecasting atmospheric model (WRF). The propagation of the fire front is…

Atmospheric and Oceanic Physics · Physics 2015-08-03 Jan Mandel , Jonathan D. Beezley , Soham Chakraborty , Janice L. Coen , Craig C. Douglas , Anthony Vodacek , Zhen Wang
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