The DOM approach to the collapsed dimension method for solving radiative transport problems with participating media

Radiation Adhered with Conduction Heat Transfer Adopting Finite Volume Method

“…The Collapse dimension method (CDM) [7][8][9][10] is established on a ray tracing method identical to the discrete transfer method. CDM is further solved by Mishra et al [11] and the DOM approach was enforced to the CDM and efficiently used to solved the radiative transfer equation for several cases and different geometries.…”

Neural-finite difference method (NFDM) in development of improved differential approximation (IDA) and its application for coupled conduction and radiation heat transfer in a square enclosure: An experimental validation

“…Yuen and Takara [5] studied the CCR problem in a rectangular enclosure for non-scattering medium for overall optical thickness 0.1, 0.5, 1.0, 2.0 and 5.0, but clearly not mentioned the practical application of diffusion approximations. Mishra et al [6] formulated the DOM approach to the collapse dimension method (CDM) for producing faster results because of not considering the solid angle, but not mentioned the physical significance of 0017-9310/$ -see front matter Ó 2008 Elsevier Ltd. All rights reserved. doi:10.1016/j.ijheatmasstransfer.2008.04.073 modified CDM.…”

View factor calculation in the 2-D geometries using the collapsed dimension method

“…The collapsed dimension method (CDM) is an efficient method for solving radiative transport problems dealing with participating medium [6][7][8]. It has been extensively used for the radiative transport problems with participating medium.…”

“…It has been extensively used for the radiative transport problems with participating medium. In combined radiation, conduction and/or convection mode problems, its computational grid is compatible with the finite difference/the finite volume method/the lattice Boltzmann method used for solving momentum and energy equations [8]. Although the success of the CDM has been demonstrated by solving different types of problems dealing with the participating medium, unlike other methods like the DOM [2,9], the DTM [4], the FVM [5,10] etc., that are mainly meant for participating medium radiation, how this method works for radiative transport problems in which the medium is either In the CDM, since all radiative information are collapsed to the 2-D solution plane, in view factor calculations, unlike the DOM [2,9], the DTM [4], the FVM [5,10], etc., the CDM does not require any tracing of rays and, therefore, its expressions are exact.…”