Three-Dimensional Mathematical Models to Simulate Deciduous Tree Ignition

Abstract

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