Volume 1: Heat Transfer in Energy Systems; Thermophysical Properties; Theory and Fundamental Research in Heat Transfer 2013
DOI: 10.1115/ht2013-17152 View full text |Buy / Rent full text
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Abstract: Several of the most popular deterministic radiation transport methods for heat transfer are compared. Relative solution error is compared as a function of optical thickness and scattering albedo. The test problems are chosen to represent a range of problem types. Problems with discontinuous boundary conditions are included to evaluate ‘ray effects’ for discrete ordinates solutions. A brief derivation and a statement of the governing equations for each method is included so that the details of the precise metho… Show more

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“…Ravishankar [93] compared the standard spherical harmonics approximation with the modified differential approximation (MDA) [94], a hybrid method and Monte Carlo results. Tencer and Howell compared the accuracy of the discrete ordinates, standard spherical harmonics, simplified spherical harmonics, and M1 methods for a set of 2-D benchmark problems for varying opacities and scattering albedos [95,96] providing errors as a function of these parameters. Some of those results are reproduced in Fig.…”
Section: Comparisons Among Different Angular Discretization Methodsmentioning
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“…Ravishankar [93] compared the standard spherical harmonics approximation with the modified differential approximation (MDA) [94], a hybrid method and Monte Carlo results. Tencer and Howell compared the accuracy of the discrete ordinates, standard spherical harmonics, simplified spherical harmonics, and M1 methods for a set of 2-D benchmark problems for varying opacities and scattering albedos [95,96] providing errors as a function of these parameters. Some of those results are reproduced in Fig.…”
Section: Comparisons Among Different Angular Discretization Methodsmentioning
“…To Fig. 2 Relative error between heat flux predicted by the lowest spherical harmonics approximation and an analytical solution [81] computed by Tencer and Howell [96]. Contour levels range from 5 to 90 % CW, band, and LBL but the exchange factors depend on the opacity field and must be recomputed for each opacity distribution considered incorporate spectral properties in a Monte Carlo simulation, a wavelength is assigned to a bundle at the time of its creation and the appropriate optical properties for that wavelength may be used to determine interaction probabilities [116].…”
Section: Inclusion Of Spectral Propertiesmentioning