Mathematical Modeling of Forest Fuel Ignition by the Focused Sunlight

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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.
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聚焦太阳光对森林燃料点火的数学建模
本章主要研究聚焦太阳辐射对森林燃料点火过程的数值模拟。提出了一个聚焦太阳辐射点燃森林燃料的物理模型。提出了研究过程的三种数学模型(一维、二维和三维)。在数学上,用具有相应初始条件和边界条件的热传导和扩散方程组描述了聚焦太阳辐射点燃森林燃料层的过程。给出了场景建模的结果。
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