Inverse Cascade Regime in Shell Models of Two-Dimensional Turbulence

Thomas Gilbert, Victor S. L’vov, Anna Pomyalov, and Itamar Procaccia
Phys. Rev. Lett. 89, 074501 – Published 29 July 2002

Abstract

We consider shell models that display an inverse energy cascade similar to two-dimensional turbulence (together with a direct cascade of an enstrophylike invariant). Previous attempts to construct such models ended negatively, stating that shell models give rise to a “quasiequilibrium” situation with equipartition of the energy among the shells. We show analytically that the quasiequilibrium state predicts its own disappearance upon changing the model parameters in favor of the establishment of an inverse cascade regime with Kolmogorov scaling. The latter regime is found where predicted, offering a useful model to study inverse cascades.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 11 January 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.074501

©2002 American Physical Society

Authors & Affiliations

Thomas Gilbert, Victor S. L’vov, Anna Pomyalov, and Itamar Procaccia

  • Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 89, Iss. 7 — 12 August 2002

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×