The mathematical modelling and computer simulation of wildland fire perimeter growth over a 3-dimensional surface

This work considers wildfire growth over variable topography. Through an an alysis of fire perimeter growth for homogeneous conditions over a surface o f constant slope, a mathematical model of fire growth for heterogeneous con ditions and variable surface is proposed. The mathematical model is in the form of a system of partial differential equations that require a numerical method of solution. A simple numerical solution technique is described and example solutions are given for fires over a variety of complex surfaces i llustrating that simulation results can be obtained in reasonable time.