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International Journal for Numerical Methods in Engineering
Article . 2010 . Peer-reviewed
License: Wiley Online Library User Agreement
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zbMATH Open
Article . 2011
Data sources: zbMATH Open
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Highly efficient optimization mesh movement method based on proper orthogonal decomposition

Authors: Bogaers, Alfred Edward Jules; Kok, Schalk; Malan, A.G.;

Highly efficient optimization mesh movement method based on proper orthogonal decomposition

Abstract

AbstractIn this paper, we implement the method of proper orthogonal decomposition (POD) to generate a reduced order model (ROM) of an optimization‐based mesh movement scheme. In this study it is shown that POD can be used effectively to generate an ROM, that accurately reproduces the full order mesh movement algorithm, with a decrease in computational time of over 99%. We further introduce a novel training procedure whereby the POD models are generated in a fully automated fashion. The technology is applicable to any mesh movement method and enables potential reductions of up to four orders of magnitude in mesh movement related costs. The proposed model can be implemented without having to pre‐train the POD model, to any fluid–structure interaction code with an existing mesh movement scheme. Copyright © 2010 John Wiley & Sons, Ltd.

Country
South Africa
Keywords

Mesh optimization, Unstructured mesh movement, Radial basis function interpolation, reduced order modelling, mesh optimization, Numerical grid generation (Numerical analysis), 600, Proper orthogonal decomposition, Reduced order modelling, Other numerical methods in solid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), unstructured mesh movement, Finite volume methods applied to problems in solid mechanics, proper orthog-onal decomposition, Orthogonal decompositions, radial basis function interpolation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
bronze