Two-dimensional turbulence in square and circular domains with no-slip walls

✍ Scribed by H.J.H Clercx; A.H Nielsen; D.J Torres; E.A Coutsias

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 799 KB
• Volume: 20
• Category: Article
• ISSN: 0997-7546
• DOI: 10.1016/s0997-7546(01)01130-x

✦ Synopsis

Several fascinating phenomena observed for 2D turbulence in bounded domains are discussed. The first part of this paper concerns a short overview of the non-trivial behaviour of freely evolving 2D turbulence in square domains with no-slip boundaries. In particular, the Reynolds number dependence of, and the influence of the initial conditions on spontaneous spin-up of the flow, which is characterised by a sudden increase of the absolute value of the angular momentum of the flow, is investigated in more detail. In a second set-up we have investigated forced 2D turbulence in circular containers with no-slip walls. A comparison with the double periodic case reveals that domain-filling structures, always observed in the double periodic cases, are being prevented from emerging. Wall-generated, small-scale structures are continuously injected into the interior of the domain, destroying larger structures and maintaining the turbulent flow field.  2001 Éditions scientifiques et médicales Elsevier SAS 2D turbulence / energy spectra / spontaneous spin-up / angular momentum / spectral methods * Correspondence and reprints.