Mathematical model of lightning stroke development

This paper presents a mathematical model of the lightning stroke path development. Any lightning model is a mathematical construct design to reproduce certain aspects of the physical process involved in the lightning discharge. This mathematical model resides on the underlying observed physical properties of the lightning stroke development. It uses Monte Carlo based algorithm in order to simulate stochastic and dynamic movement of the lightning stroke stepped leader descent. Influence of the lightning stroke current amplitude on the path development is also taken into account. Two examples of the lightning stroke stepped leader propagation paths are presented.