Mathematical Modeling of Crown Forest FIre Spread in the Presence of Fire Response and Finite Size Fire Breaks and Barriers

2020 ◽  
Keyword(s):  
Mathematical Modeling ◽  
Forest Fire ◽  
Finite Size ◽  
Fire Spread ◽  
Fire Response ◽  
Crown Forest

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

2020 ◽  
Vol 99 (3) ◽  
pp. 54-61
Author(s):  
V.A. Perminov ◽  
◽  
K.O. Fryanova ◽  
Keyword(s):  
Mathematical Modeling ◽  
Forest Fire ◽  
Forest Fires ◽  
Control Volume ◽  
Fire Spread ◽  
Discrete Analogue ◽  
Temperature Fields ◽  
Emergency Situations ◽  
Volume Method ◽  
Fire Spreading

Currently, methods of mathematical modeling are used to study processes in emergency situations. Forest fires are extremely complex and destructive natural phenomena which depend on availability of fuel, meteorological and other conditions. Mathematical model of forest fire is based on an analysis of known experimental data and using concept and methods from reactive media mechanics. In this paper the theoretical study of the problems of crown forest fire spread in windy condition and their thermal impact on the wooden building were carried out. The research was based on numerical solution of two-dimensional Reynolds equations. The boundary-value problem is solved numerically using the method of splitting according to physical processes. A discrete analogue for the system of equations was obtained by means of the control volume method. A study of forest fire spreading made it possible to obtain a detailed picture of the change of the component concentration of gases and temperature fields in forest fire and on the wall of building with time. It let to determine the limiting distances between forest fire and building for possibility of wooden walls ignition for different meteorology conditions, size of building and intensity of fire impact.

A case study on fractal simulation of forest fire spread

2000 ◽  
Vol 43 (S1) ◽  
pp. 104-112 ◽  
Author(s):  
Qijiang Zhu ◽  
Taizong Rong ◽  
Rui Sun
Keyword(s):  
Forest Fire ◽  
Fire Spread ◽  
Fractal Simulation

The Examination of the Economical Effectiveness of Forest Fire Suppression by Using Theoretical Fire Spread Models

2016 ◽  
Vol 15 (1) ◽  
pp. 85-92
Author(s):  
Ágoston Restás
Keyword(s):  
Forest Fire ◽  
Economic Efficiency ◽  
Fire Suppression ◽  
Fire Spread ◽  
Concentric Circle ◽  
Model Based ◽  
Actual Fire ◽  
Concentric Circles ◽  
Circle Model ◽  
Rectangular Model

It is commonly known that firefighting is very expensive solution; therefore it isn’t useless to study it by the criteria of efficiency. But the meaning of efficiency for fire managers can be different from the meaning of efficiency for economists. From an economic viewpoint, it is stricter than from a technical view. Method: this research used geometric aspects of the fire spread created rectangular and concentric circles models and used basic mathematic calculations and logical conclusions. Results and discussion: The rectangular model shows the criteria of economic efficiency of firefighting. Moreover, the results from rectangular model can be transferred also to the section of concentric circles model. Based on the concentric circle model we can define both the economic efficiency of fighting forest fire and minimal criteria of successful suppression expressed by the elementary information we have regarding the actual fire.

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