Plenary Lecture

Mathematical Modeling of Crown Forest Fire Spread

Professor Valeriy Perminov
Tomsk Polytechnic University
E-mail: p_valer@mail.ru

Abstract: Mathematical model of forest fires bases on an analysis of known experimental data and using concept and methods from reactive media mechanics. In this paper the assignment and theoretical investigations of the problems of crown forest fires initiation and spread in windy conditions were carried out. In this context, a study - mathematical modeling - of the conditions of forest fire spreading that would make it possible to obtain a detailed picture of the change in the temperature and component concentration fields with time, and determine as well as the limiting condition of fire propagation in forest with fire break. The results of calculations of the initiation and spread of crown forest fires in the horizontal plane, averaged over the forest canopy height of two-dimensional formulation, derived from a general mathematical model of fire are presented. A computer program for calculating the propagation of the front crown forest fire in time for the different meteorological conditions (wind speed, ambient temperature, etc.) and characteristics of forests (moisture and the bulk of forest fuel materials, trees and their height, etc.). The computer program is used for calculation of the contours of the forest fire front, including its interaction with the natural barriers - the forest glades, concentrations of products of pyrolysis and combustion. The effect of their size on the conditions for the propagation of combustion and the effect of wind on the forest fire rate and attenuation of the upland forest fire are investigated.

Brief Biography of the Speaker: Valeriy Perminov graduated with a Master degree in mathematics from Kemerovo University, Russia in 1981. From 1984 to 1987 he is a post-graduate student of mechanics and mathematics department of Tomsk State University. From 1987 to 1995 he worked in the Tomsk University, and graduated in 1995 with a Ph.D. degree in Fluid Mechanics. Since then he has been a faculty member of the Department of Physical Mechanics at the Tomsk University, Russia, serving as an assistant professor from 1987 to 1995, an associate professor from 1995 to 1996. In 2011 he became Doctor of Science in Fluid mechanics Tomsk State University. The theme of thesis: «Mathematical Modeling of Initiation of Crown and Mass Forest Fires». His research interests include mathematical modeling and heat and mass transfer of gas dynamics at the natural and technogenic catastrophes, mathematical prediction of the ecological consequences of the natural and technogenic catastrophes (initiation and spread of the mass forest fires, ignition of forest massifs by radiant energy as a result of nuclear bursts and Tunguska celestial body fall, the recurring radioactive contamination from forest fires). Scientific interests are mainly connected with the application of the numerical methods to solution problems of mechanics of reacting media to the forest fire and environmental pollution. He applies the methods of mechanics of reacting medium to the forest fires and ecological problems of environmental pollution. Mainly, it is a problem of creation of mathematical models for description of forest fires. He has published over 100 papers in different editions. He took part in International conferences and grants. Membership in Council on combustion and explosion of Siberian Department of Russian Academy of Science Member of American Chemical Society.