Boundary Layers and Domain Decomposition for Radiative Heat Transfer and Diffusion Equations: Applications to Glass Manufacturing Processes
- In this paper domain decomposition methods for radiative transfer problems including conductive heat transfer are treated. The paper focuses on semi-transparent materials, like glass, and the associated conditions at the interface between the materials. Using asymptotic analysis we derive conditions for the coupling of the radiative transfer equations and a diffusion approximation. Several test cases are treated and a problem appearing in glass manufacturing processes is computed. The results clearly show the advantages of a domain decomposition approach. Accuracy equivalent to the solution of the global radiative transfer solution is achieved, whereas computation time is strongly reduced.
Author: | Axel Klar, Norbert Siedwo |
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URN: | urn:nbn:de:hbz:386-kluedo-7149 |
Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (6) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 1998 |
Year of first Publication: | 1998 |
Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
Date of the Publication (Server): | 2000/04/03 |
Faculties / Organisational entities: | Fraunhofer (ITWM) |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |