Collapsed dimension method applied to radiative transfer problems in complex enclosures with participating medium

Application of the collapsed dimension method is extended to solve radiative transfer problems in complex enclosures with participating medium. Formulations are provided for absorbing, emitting, and anisotropically scattering medium. Formulations are validated by solving some benchmark problems in rectangular as well as cylindrical geometries. In rectangular geometry, 2-D L-shaped, quadrilateral, and 3-D cubical enclosures are considered. In cylindrical geometry, problems in 1-D and 2-D single as well as concentric cylindrical enclosures are taken up. To check the accuracy of the results obtained from the collapsed dimension method, depending on the availability of results, comparisons are made with the exact method, discrete transfer method, P-3 approximation, Monte Carlo method, and the finite-volume method. The collapsed dimension method has been found to provide very accurate results.