
%0 Journal Article
%A Richards, Gwynfor D. 
%T The mathematical modelling and computer simulation of wildland fire perimeter growth over a 3-dimensional surface
%J International Journal of Wildland Fire
%D 2000/11/24
%V 9
%N 3
%P 213-221
%K Fire behaviour, Fire spread, Computer simulation.
%R https://doi.org/10.1071/WF00019
%U https://www.publish.csiro.au/paper/WF00019 
%X This work considers wildfire growth over variable topography. Through an analysis of fire perimeter growth for homogeneous conditions over a surface of constant slope, a mathematical model of fire growth for heterogeneous conditions 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 illustrating that simulation results can be obtained in reasonable time. 
