A. Haidekker et al., APPLICATION OF THE HYBRID ZONE MONTE-CARLO METHOD TO 3-D CURVILINEAR GRIDS IN RADIATIVE HEAT-TRANSFER, International journal for numerical methods in engineering, 37(2), 1994, pp. 203-216
The zone method is applied to non-orthogonal curvilinear grids for the
computation of radiative heat transfer. The interchange areas are cal
culated by the Monte Carlo technique which has been fitted with a gene
ralized ray tracing procedure. The method is applied to two complex th
ree-dimensional (3-D) cases where inhomogeneities are present in the r
adiation space (non-uniform gas properties and/or shadowing effects),
and the gas is taken as gray. For comparison purposes, the same exampl
es are worked out with the discrete transfer method. Very small discre
pancies are found between the two methods for the surface heat fluxes,
but the gas volumetric radiative sources are much more sensitive to i
nhomogeneities in the gas phase, resulting in higher discrepancies for
these terms. The method can be readily extended to incorporate real g
ases and scattering effects.