Three-Dimensional Mathematical Models to Simulate Coniferous Tree Ignition

Abstract

The results of the numerical implementation of the spatial formulation for the problem of coniferous tree ignition by an electric current of a cloud-to-ground lightning discharge are presented. The problem is solved in a three-dimensional formulation in a cylindrical coordinate system. The axisymmetric formulation of the problem is considered. Localization of reactive wood, structural inhomogeneity of the bark, current-voltage characteristics of a cloud-to-ground lightning discharge, and chemical reaction in the gas phase are taken into account. The conditions for the ignition of a coniferous tree in the typical range of the discharge effect are revealed.