Energy spectra for decaying 2D turbulence in a bounded domain

New results are presented for the energy spectra of decaying 2D turbulence in a square container with no-slip walls for integral-scale Reynolds numbers up to 20 000. The one-dimensional energy spectra measured close to the walls reveal a k(-5/3) inertial range, instead of a k(-3) direct enstrophy ca...

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Veröffentlicht in:Physical review letters 2000-07, Vol.85 (2), p.306-309
Hauptverfasser: Clercx, HJ, van Heijst GJ
Format: Artikel
Sprache:eng
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Zusammenfassung:New results are presented for the energy spectra of decaying 2D turbulence in a square container with no-slip walls for integral-scale Reynolds numbers up to 20 000. The one-dimensional energy spectra measured close to the walls reveal a k(-5/3) inertial range, instead of a k(-3) direct enstrophy cascade, due to the production of small-scale vorticity near no-slip boundaries. During the intermediate decay stage a k(-3) spectrum starts to emerge and the change in location of the injection scale of small-scale vorticity is explained in terms of an average boundary-layer thickness.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.85.306