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Application of the hybrid zone/Monte Carlo method to 3‐D curvilinear grids in radiative heat transfer
Author(s) -
Haidekker A.,
Charette A.,
Kocaefe Y. S.
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620370203
Subject(s) - curvilinear coordinates , radiative transfer , monte carlo method , computation , thermal radiation , ray tracing (physics) , heat transfer , distributed ray tracing , scattering , atmospheric radiative transfer codes , computational physics , statistical physics , radiation , mechanics , physics , geometry , computer science , mathematics , optics , algorithm , thermodynamics , statistics
The zone method is applied to non‐orthogonal curvilinear grids for the computation of radiative heat transfer. The interchange areas are calculated by the Monte Carlo technique which has been fitted with a generalized ray tracing procedure. The method is applied to two complex three‐dimensional (3‐D) cases where in homogeneities are present in the radiation space (non‐uniform gas properties and/or shadowing effects), and the gas is taken as gray. For comparison purposes, the same examples are worked out with the discrete transfer method. Very small discrepancies are found between the two methods for the surface heat fluxes, but the gas volumetric radiative sources are much more sensitive to inhomogeneities in the gas phase, resulting in higher discrepancies for these terms. The method can be readily extended to incorporate real gases and scattering effects.