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Missing Point Estimation for steady aerodynamic applications
Author(s) -
Vendl Alexander,
Faßbender Heike
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110408
Subject(s) - aerodynamics , subspace topology , nonlinear system , galerkin method , reduction (mathematics) , projection (relational algebra) , mathematics , flow (mathematics) , limit (mathematics) , point (geometry) , computational fluid dynamics , convergence (economics) , computer science , algorithm , mathematical analysis , physics , geometry , mechanics , quantum mechanics , economics , economic growth
Model reduction in aerodynamic applications usually makes use of Proper Orthogonal Decomposition (POD). In this work a POD‐based method, called Missing Point Estimation (MPE), will be applied to steady state flows with variation of the flow parameter angle of attack. The basic idea of MPE is to select a subset of the computational grid points (control volumes) and limit the governing equations to these. Subsequently, the remaining equations are projected onto the POD subspace. This approach has the advantage that the nonlinear right hand side of the governing equations has to be evaluated only for some selected points (control volumes) which makes the MPE faster than classical Galerkin projection. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)