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The sampling‐based dynamic procedure as tool for higher‐order discretization
Author(s) -
Fauconnier D.,
De Langhe C.,
Dick E.
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650
Subject(s) - richardson extrapolation , discretization , extrapolation , truncation error , discretization error , mathematics , truncation (statistics) , formalism (music) , sampling (signal processing) , algorithm , finite difference method , finite difference , computer science , mathematical optimization , mathematical analysis , statistics , art , musical , filter (signal processing) , visual arts , computer vision
Abstract Accuracy improvement is demonstrated by alternative use of a recently proposed LES formalism based on sampling operators. It is shown that the sampling‐based dynamic procedure, in combination with an appropriate truncation error model, can be used as a technique to increase the numerical accuracy of a discretization. The technique is resemblant to Richardson extrapolation. The procedure is tested on a 2D lid‐driven cavity at Re =400 using a finite difference method. Promising results are obtained. Copyright © 2007 John Wiley & Sons, Ltd.