Diffusion approximation for large absorption in radiative transfer
Autor: | W. E. Meador, W. R. Weaver |
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Rok vydání: | 1979 |
Předmět: |
Physics
Mathematical model Scattering business.industry Materials Science (miscellaneous) Heavy traffic approximation Legendre function Industrial and Manufacturing Engineering Optics Radiative transfer Boundary value problem Business and International Management Diffusion (business) business Legendre polynomials |
Zdroj: | Applied Optics. 18:1204 |
ISSN: | 1539-4522 0003-6935 |
DOI: | 10.1364/ao.18.001204 |
Popis: | A new diffusion model is developed for radiative transfer in particulate media. It includes the effects of higher Legendre moments while avoiding the mathematical complexities of solving multiple coupled differential moment equations and satisfying higher-order boundary conditions. The method accurately extrapolates the conventional Eddington approximation to problems involving large absorption. Although the simplifying assumptions limit the model to nonbeam incidence and spatial homogeneity of the scattering material, they are nonrestrictive with regard to the size and shape of the medium, the character of background reflections, and the type of phase function. |
Databáze: | OpenAIRE |
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