Evaluation of multi-dimensional flux models for radiative transfer in combustion chambers: A review

In recent years, flux methods have been widely employed as alternative, albeit intrinsically less accurate, procedures to the zone or Monte Carlo methods in complete prediction procedures. Flux models of radiation fields take the form of partial differential equations, which can conveniently and economically be solved simultaneously with the equations representing flow and reaction. The flux models are usually tested and evaluated from the point of view of predictive accuracy by comparing their predictions with "exact' values produced using the zone or Monte Carlo models. Evaluations of various multi-dimensional flux-type models, such as De Marco and Lockwood, Discrete-Ordinate, Schuster-Schwarzschild and moment, are reviewed from the points of view of both accuracy and computational economy. Six-flux model of Schuster-Schwarzschild type with angular subdivisions related to the enclosure geometry is recommended for incorporation into existing procedures for complete mathematical modelling of rectangular combustion chambers.