Two-Dimensional Mathematical Models to Simulate Coniferous Tree Ignition

Abstract

The physical and mathematical formulation and results of the numerical solution of the problem for ignition of a coniferous tree (pine) by a cloud-to-ground lightning discharge are presented. The problem is considered in a flat formulation in a cylindrical coordinate system. The features of current flow and heat transfer are considered taking into account the localization of reactive wood and the presence of a surface layer of water. A parametric analysis was carried out, and the conditions for the ignition of a tree trunk were determined in a typical range of the exposure to negative and positive discharges.