# Mathematical modeling of surface forest fires transition into crown forest fires

Valeriy Afanasievich Perminov, Egor L. Loboda, Vladimir V. Reino

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

### Abstract

It is developed mathematical model for description of heat and mass transfer processes at crown forest fire initiation. Mathematical model of forest fire was based on an analysis of experimental data and using concept and methods from reactive media mechanics. The paper suggested in the context of the general mathematical model of forest fires give a new mathematical setting and method of numerical solution of a problem of a forest fire modeling. The boundary-value problem is solved numerically using the method of splitting according to physical processes. In this paper the assignment and theoretical investigations of the problems of forest fire initiation were carried out.

Original language English 20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics SPIE 9292 9781628413762 https://doi.org/10.1117/12.2086618 Published - 2014 Yes 20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics - Novosibirsk, Russian FederationDuration: 23 Jun 2014 → 27 Jun 2014

### Conference

Conference 20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics Russian Federation Novosibirsk 23.6.14 → 27.6.14

### Fingerprint

forest fires
Forest Fire
Mathematical Modeling
Fires
mathematical models
Mathematical Model
Mathematical models
Heat and Mass Transfer
Physical process
boundary value problems
Boundary value problems
mass transfer
Mechanics
Assignment
Mass transfer
heat transfer
Boundary Value Problem
Numerical Solution
Experimental Data
Heat transfer

### Keywords

• crown fire
• discrete analogue
• forest fire
• ignition
• mathematical model
• surface fire

### ASJC Scopus subject areas

• Applied Mathematics
• Computer Science Applications
• Electrical and Electronic Engineering
• Electronic, Optical and Magnetic Materials
• Condensed Matter Physics

### Cite this

Perminov, V. A., Loboda, E. L., & Reino, V. V. (2014). Mathematical modeling of surface forest fires transition into crown forest fires. In 20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics (Vol. 9292).  SPIE. https://doi.org/10.1117/12.2086618

Mathematical modeling of surface forest fires transition into crown forest fires. / Perminov, Valeriy Afanasievich; Loboda, Egor L.; Reino, Vladimir V.

20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. Vol. 9292 SPIE, 2014. 929225.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Perminov, VA, Loboda, EL & Reino, VV 2014, Mathematical modeling of surface forest fires transition into crown forest fires. in 20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. vol. 9292, 929225, SPIE, 20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, Novosibirsk, Russian Federation, 23.6.14. https://doi.org/10.1117/12.2086618
Perminov VA, Loboda EL, Reino VV. Mathematical modeling of surface forest fires transition into crown forest fires. In 20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. Vol. 9292. SPIE. 2014. 929225 https://doi.org/10.1117/12.2086618
Perminov, Valeriy Afanasievich ; Loboda, Egor L. ; Reino, Vladimir V. / Mathematical modeling of surface forest fires transition into crown forest fires. 20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. Vol. 9292 SPIE, 2014.
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