Spectra of local and nonlocal two-dimensional turbulence

Raymond T. Pierrehumbert, Isaac M. Held, Kyle L. Swanson

Research output: Contribution to journalArticlepeer-review

129 Scopus citations


We propose a family of two-dimensional incompressible fluid models indexed by a parameter α ε{lunate}[0, ∞], and discuss the spectral scaling properties for homogeneous, isotropic turbulence in these models. The family includes two physically realizable members. It is shown that the enstrophy cascade is spectrally local for α<2, but becomes dominated by nonlocal interactions for α>2. Numerical simulations indicate that the spectral slopes are systematically steeper than those predicted by the local scaling argument.

Original languageEnglish (US)
Pages (from-to)1111-1116
Number of pages6
JournalChaos, Solitons and Fractals
Issue number6
StatePublished - Jun 1994

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics


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