Journal
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
Volume 200, Issue -, Pages 65-78Publisher
ELSEVIER
DOI: 10.1016/j.jnnfm.2012.11.007
Keywords
Rayleigh-Benard model; Power-law fluids; Model reduction; Non-incremental solution; Proper Generalized Decomposition PGD
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This paper focuses on the non-incremental solution of transient coupled non-linear models, in particular the one related to the Rayleigh-Benard flow problem that models natural thermal convection. For this purpose we are applying the so-called Proper Generalized Decomposition that proceeds by performing space-time separated representations of the different unknown fields involved by the flow model. This non-incremental solution strategy allows significant computational time savings and opens-new perspectives for introducing some flow and/or fluid parameters as extra-coordinates. (C) 2012 Elsevier B.V. All rights reserved.
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