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A hybrid collocation/Galerkin scheme for convective heat transfer problems with stochastic boundary conditions
Author(s) -
Constantine Paul G.,
Doostan Alireza,
Iaccarino Gianluca
Publication year - 2009
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2564
Subject(s) - galerkin method , collocation (remote sensing) , mathematics , coupling (piping) , momentum (technical analysis) , heat transfer , boundary (topology) , incompressible flow , mathematical optimization , flow (mathematics) , mechanics , mathematical analysis , computer science , physics , finite element method , geometry , engineering , mechanical engineering , finance , machine learning , economics , thermodynamics
We present a numerical method to study convective heat transfer in a high Reynolds number incompressible flow around a cylinder subject to uncertain boundary conditions. We exploit the one‐way coupling of the energy and momentum transport to derive a semi‐intrusive uncertainty propagation scheme, which combines Galerkin and collocation approaches for computing approximate statistics of the stochastic temperature field. The hybrid scheme converges rapidly and dramatically reduces the overall computational cost compared with the conventional uncertainty propagation schemes. Copyright © 2009 John Wiley & Sons, Ltd.