Mathematical Modeling of Forest Fuel Ignition by the Focused Sunlight

Abstract

This chapter is devoted to numerical simulation of forest fuel ignition by focused solar radiation. A physical model of the forest fuel ignition by focused solar radiation is presented. Three mathematical models of the studied process are presented (one-dimensional, two-dimensional, and three-dimensional). Mathematically, the ignition of the forest fuel layer by focused solar radiation is described by a system of equations of heat conduction and diffusion with the corresponding initial and boundary conditions. The results of scenario modeling are presented.