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Radiation, Frequency Averaging and Proper Orthogonal Decomposition
Author(s) -
Pinnau René,
Schulze Alexander
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610376
Subject(s) - proper orthogonal decomposition , curse of dimensionality , decomposition , a priori and a posteriori , reliability (semiconductor) , radiative transfer , dimensionality reduction , point of delivery , algorithm , computer science , mathematics , mathematical optimization , physics , artificial intelligence , chemistry , thermodynamics , power (physics) , optics , philosophy , organic chemistry , epistemology , agronomy , biology
We study proper orthogonal decomposition (POD) for frequency averaging in radiative heat transfer. Especially, we employ 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 present several numerical results underlining the feasibility of our approach. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)