Model Reduction Techniques for Frequency Averaging in Radiative Heat Transfer

  • We study model reduction techniques for frequency averaging in radiative heat transfer. Especially, we employ proper orthogonal decomposition in combination with the method of snapshots to devise an automated a posteriori algorithm, which helps to reduce significantly the dimensionality for further simulations. The reliability of the surrogate models is tested and we compare the results with two other reduced models, which are given by the approximation using the weighted sum of gray gases and by an frequency averaged version of the so-called \(\mathrm{SP}_n\) model. We present several numerical results underlining the feasibility of our approach.

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Author:Rene Pinnau, Alexander Schulze
URN (permanent link):urn:nbn:de:hbz:386-kluedo-14241
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (265)
Document Type:Preprint
Language of publication:English
Year of Completion:2006
Year of Publication:2006
Publishing Institute:Technische Universität Kaiserslautern
Tag:Frequency Averaging ; POD; Radiative Heat Trasfer
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):35K55 Nonlinear parabolic equations
49K20 Problems involving partial differential equations
80A20 Heat and mass transfer, heat flow

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