Hyperbolic reaction-diffusion equations for a forest fire model
نویسندگان
چکیده
Forest fire models have been widely studied from the context of self-organized criticality and from the ecological properties of the forest and combustion. On the other hand, reaction-diffusion equations have interesting applications in biology and physics. We propose here a model for fire propagation in a forest by using hyperbolic reaction-diffusion equations. The dynamical and thermodynamical aspects of the model are analyzed in detail. @S1063-651X~97!02912-7#
منابع مشابه
Mathematical modeling of forest fire spread
This paper is devoted a problem of development of a mathematical model for description of heat and mass transfer processes at crown forest fire initiation and spread. Mathematical model of forest fire was based on an analysis of experimental data and using concept and methods from reactive media mechanics. This study gives a two dimensional averaged mathematical setting and method of numerical ...
متن کاملMathematical Model Of Forest Fire Initiation And Spread
One of the objectives of these studies is the improvement of knowledge on the fundamental physical mechanisms that control the crown forest fire initiation and spread. Under specific conditions, a surface forest fire spreading through the ground cover is converted into a crown fire that moves through crown at a significantly greater rate than the surface fire, and hence is more dangerous ecolog...
متن کاملMathematical modeling of crown forest fires spread taking account firebreaks
National Research Tomsk Polytechnic University, e-mail: [email protected] Abstract It is developed mathematical model of heat and mass transfer processes at crown forest fire spread which takes into account fire breaks. The paper gives a new mathematical setting and method of numerical solution of this problem. It is based on numerical solution of two dimensional Reynolds equations for turbulent ...
متن کاملCrisis Management in Forest Fire by use of Image Landsat in Model Fire Risk (Case Study: Bioreh Protected Area, Illam Province)
Forest fire brings forest destruction as an important part of human environments, air pollution, and the loss of wealth and facilities, and endangers the lives of human beings in the vicinity of the forest. It is one of the examples of natural crises and is considered to be a crisis management. Identifying the effective factors in the occurrence of fire and hazard zoning is one of the basic too...
متن کاملModeling sorption of emerging contaminants in biofilms
A mathematical model for emerging contaminants sorption in multispecies biofilms, based on a continuum approach and mass conservation principles is presented. Diffusion of contaminants within the biofilm is described using a diffusion-reaction equation. Binding sites formation and occupation are modeled by two systems of hyperbolic partial differential equations are mutually connected through t...
متن کامل