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.

Author: Rene Pinnau, Alexander Schulze urn:nbn:de:hbz:386-kluedo-14241 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (265) Preprint English 2006 2006 Technische Universität Kaiserslautern Frequency Averaging ; POD; Radiative Heat Trasfer Fachbereich Mathematik 510 Mathematik 35K55 Nonlinear parabolic equations 49K20 Problems involving partial differential equations 80A20 Heat and mass transfer, heat flow

$Rev: 12793$