MATHEMATICAL MODEL OF CROWN WILDFIRE INITIATION IN THREE-DIMENSIONAL SETTING
Abstract
The results of calculations of the initiation of crown wildfire under influence of surface wildfire, derived from a general mathematical model of fire are presented. A computer program for calculating the ignition of crown wildfire in time for 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.) was developed. The computer program is used for the calculation of critical condition of the possibility of crown wildfire initiation.
About the Authors
V. A. Perminov
National Research Tomsk Polytechnic University, Tomsk
Russian Federation
Valery A. Perminov – Doctor of Physics and Mathematics, Professor at the Department of Ecology and Life Safety
Russian Federation
Valery A. Perminov – Doctor of Physics and Mathematics, Professor at the Department of Ecology and Life Safety
A. M. Gudov
Kemerovo State University
Russian Federation
Alexander M. Gudov – Doctor of Technical Sciences, Associate Professor, Head of the UNESCO Chair for New Information Technologies
Russian Federation
Alexander M. Gudov – Doctor of Technical Sciences, Associate Professor, Head of the UNESCO Chair for New Information Technologies
References
1. . Гришин A. M. Математические модели лесных пожаров и новые способы борьбы с ними. Новосибирск: Наука. 1992.
2. Гришин A. M., Перминов В. А. Математическое моделирование зажигания крон деревьев // ФГВ. 34. 1998. С. 13 – 22.
3. Конев Э. В. Физические основы горения растительных материалов. Новосибирск: Наука. 1977.
4. Монин А. С, Яглом A. M. Статистическая гидромеханика. М.: Наука, 1965. Т. 1.
5. Патанкар С. В. Численные метода решения задач теплообмена и динамики жидкости. М.: Энергоатомиздат. 1984.
6. Перминов В. А. Математическое моделирование возникновения и распространения верховых лесных пожаров в осредненной постановке // Журнал технической физики. 85. 2015. С. 24 – 30.
7. Перминов В. А. Математическое моделирование возникновения массовых и верховых лесных пожаров с учетом радиационно-конвективного тепломассопереноса и двухтемпературности среды: дис. ... канд. физ.-мат. наук. Томск: ТГУ, 1995. 188 с.
8. Stone H. L. Iterative solution of implicit approximations of multidimensional partial differential equations // SIAM Journal of Numerical Analysis. 5. 1968. P. 530 – 558.
Review
For citations:
Perminov V.A., Gudov A.M. MATHEMATICAL MODEL OF CROWN WILDFIRE INITIATION IN THREE-DIMENSIONAL SETTING. SibScript. 2015;(1-1):18-24. (In Russ.)
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