Hr. Baum et al., MATHEMATICAL-MODELING AND COMPUTER-SIMULATION OF FIRE PHENOMENA, Theoretical and computational fluid dynamics, 6(2-3), 1994, pp. 125-139
An approach to the study of gas phase combustion and convection proces
ses in fires using a combination of mathematical analysis and computer
simulation is presented. It seeks to solve the governing equations di
rectly (if approximately) by decomposing the fire into a large-scale c
onvective and radiative transport problem coupled to a small-scale ''t
hermal-element'' model of combustion and radiative emission. The therm
al-element model solves the combustion equations in a local Lagrangian
coordinate system convected by the large-scale motion, which in turn
is driven by the heat released by the combustion processes. The large-
scale flow is studied using finite-difference techniques to solve larg
e-eddy simulations of the Navier-Stokes equations. The basic theory be
hind the methodology is outlined and sample results of both large- and
small-scale phenomena are presented. An analytical model of a large e
ddy is used to show how the simulation can be assembled to yield radia
tion feedback from a fire plume to a target surface.