Mathematical Modeling of Crown Forest Fire Initiation and Spread

2009 ◽  
Author(s):  
Valeriy Perminov
Keyword(s):  
Mathematical Modeling ◽  
Forest Fire ◽  
Fire Initiation ◽  
Crown Forest

scholarly journals Mathematical modeling of the impact of forest fires on buildings and structures

2018 ◽  
Vol 209 ◽  
pp. 00021
Author(s):  
Valeriy Perminov ◽  
Victoria Marzaeva
Keyword(s):  
Mathematical Modeling ◽  
Forest Fire ◽  
Forest Fires ◽  
Fire Behavior ◽  
Fire Intensity ◽  
Physical Mechanisms ◽  
Important Concern ◽  
Fire Initiation ◽  
The Impact ◽  
Fundamental Physical

The protection of buildings and structures in a community from destruction by forest fires is a very important concern. This paper addresses the development of a mathematical model for fires in the wildland-urban intermix. The forest fire is a very complicated phenomenon. At present, fire services can forecast the danger rating of, or the specific weather elements relating to, forest fire. There is need to understand and predict forest fire initiation, behavior and impact of fire on the buildings and constructions. This paper’s purposes are the improvement of knowledge on the fundamental physical mechanisms that control forest fire behavior. The mathematical modeling of forest fires actions on buildings and structures has been carried out to study the effects of fire intensity and wind speed on possibility of ignition of buildings.

scholarly journals MATHEMATICAL MODELLING OF RUNNING CROWN FOREST FIRES

2010 ◽  
Vol 15 (2) ◽  
pp. 161-174 ◽  
Author(s):  
Dmitry Barovik ◽  
Valery Taranchuk
Keyword(s):  
Mathematical Model ◽  
Forest Fire ◽  
Forest Fires ◽  
Computer Modelling ◽  
Fire Behaviour ◽  
Fire Propagation ◽  
Finite Difference Approximations ◽  
Difference Approximations ◽  
Simplifying Assumptions ◽  
Crown Forest

Adapted mathematical model for simulation of running crown forest fire propagation is considered. Simplifying assumptions, equations of the model, initial and boundary conditions, finite difference approximations are introduced. The results of computer modelling and the peculiarities of forest fire behaviour in heterogeneous forests are discussed.

scholarly journals MATHEMATICAL MODELING OF THE FOREST FIRE IMPACT ON THE BRANCH OF A CONIFEROUS TREE

2021 ◽  
Vol 4 (2) ◽  
pp. 1-15
Author(s):  
N.V. Baranovskiy ◽  
◽  
D. S. Menshikov ◽  
Keyword(s):  
Mathematical Modeling ◽  
Forest Fire ◽  
Quantitative Methods ◽  
Heat Propagation ◽  
Coniferous Tree ◽  
Flame Zone ◽  
Fire Front ◽  
Tree Branch ◽  
The Impact ◽  
The Mathematical Model

It is necessary to develop quantitative methods to assess the formation of thermal burns in the morphological parts of coniferous trees. The purpose of the study can be formulated as follows: mathematical modeling of heat transfer in the layered structure of a coniferous tree branch under the influence of a forest fire front. The heat propagation in the “branch-needles-flame zone” system is described by a system of non-stationary differential equations of heat conduction with the corresponding initial and boundary conditions. As an object of research, a digital model of a branch of a coniferous tree for various species, namely, pine, larch and fir, was used. Temperature distributions are obtained for different variants of the branch structure and conditions of the impact of the forest fire front. Conclusions are made about the need for further modernization of the mathematical model. The developed model is the basis for creating software tools for specialized geographic information systems.

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