The radiative transfer equations: diffusion approximation under accretiveness and compactness assumptions
β Scribed by C. Dogbe
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 388 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
When the mean free path of photons is small the radiative transfer equations may be approximated by a nonlinear angular diffusion equation. In order to find the diffusion equation, one uses accretiveness assumptions. But theses assumptions impose some conditions on the opacity. To overcome this inconvenient, we propose to study the solution of the radiative transfer equations by compactness techniques. (~) 2001 Elsevier Science Ltd. All rights reserved.
π SIMILAR VOLUMES
Simplified P N (SP N ) approximations to the equations of radiative heat transfer are derived for optically thick, diffusive systems, and appropriate boundary conditions are formulated. The SP N equations are derived by an asymptotic analysis, while the boundary conditions are obtained from a variat