The sampling‐based dynamic procedure as tool for higher‐order discretization | Zendy

Fauconnier D. | Zendy; De Langhe C. | Zendy; Dick E. | Zendy

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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

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.

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