Estimates for the LANS-α, Leray-α and Bardina Models in Terms of a Navier-Stokes Reynolds Number

Estimates for the three α-models known as the LANS-α, Leray-α and Bardina models are found in terms a Reynolds number associated with a Navier-Stokes velocity field. They are tabulated for comparative purposes and show clearly that all estimates for the Leray-α model are smaller than those for the L...

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Veröffentlicht in:Indiana University mathematics journal 2008-01, Vol.57 (6), p.2761-2773
Hauptverfasser: Gibbon, J.D., Holm, D.D.
Format: Artikel
Sprache:eng
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Zusammenfassung:Estimates for the three α-models known as the LANS-α, Leray-α and Bardina models are found in terms a Reynolds number associated with a Navier-Stokes velocity field. They are tabulated for comparative purposes and show clearly that all estimates for the Leray-α model are smaller than those for the LANS-α and Bardina models.
ISSN:0022-2518
1943-5258
DOI:10.1512/iumj.2008.57.3701