2016
DOI: 10.1007/s11587-016-0272-1
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Modelling and simulation of wildland fire in the framework of the level set method

Abstract: Among the modelling approaches that have been proposed for the simulation of wildfire propagation, two have gained considerable attention in recent years: the one based on a reaction-diffusion equation, and the one based on the level set method. These two approaches, traditionally seen in competition, do actually lead to similar equation models when the level set method is modified taking into account random effects as those due to turbulent hot air transport and fire spotting phenomena.The connection between … Show more

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Cited by 3 publications
(2 citation statements)
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“…A mathematical model to represent the random effects associated with the wildland fires has been developed by Pagnini and co-authors (Pagnini and Massidda, 2012b, a;Pagnini, 2013Pagnini andMentrelli, 2016, 2014;Kaur et al, 2015Mentrelli and Pagnini, 2016). This formulation describes the motion of the fire line as a composition of the drifting part and the fluctuating part.…”
Section: Model Formulationmentioning
confidence: 99%
“…A mathematical model to represent the random effects associated with the wildland fires has been developed by Pagnini and co-authors (Pagnini and Massidda, 2012b, a;Pagnini, 2013Pagnini andMentrelli, 2016, 2014;Kaur et al, 2015Mentrelli and Pagnini, 2016). This formulation describes the motion of the fire line as a composition of the drifting part and the fluctuating part.…”
Section: Model Formulationmentioning
confidence: 99%
“…Based on the knowledge of fire spread rate, the evolution of the fire front can be described by means of different techniques, which can be split into two main categories depending on the implementation, i.e., raster and vector. Examples of raster techniques are those based on cellular automata [6,7,8,9,10], while the most popular vector approaches are level set methods [11,12,13]. In raster implementations, the fire evolution only depends on the interaction among contiguous cells, which can be denoted as burnt, burning, or not burning.…”
Section: Introductionmentioning
confidence: 99%