Energy spectrum in the enstrophy transfer range of two-dimensional forced turbulence

Takashi Ishihara, Y. Kaneda

Research output: Contribution to journalArticle

19 Citations (Scopus)


Numerical simulations of two-dimensional forced turbulence suggest that the enstrophy transfer range energy spectrum E(k) a little steeper than k-3 is robust in the sense that it may be realized in a wave number range under different run conditions. It is shown that such energy spectra fit well E(k) = Ckη2/3k-3 [ln(k/k1)]-1/3, where Ck is a dimensionless constant, η the enstrophy transfer rate per unit mass and k1 a wave number at the bottom of the range. The simulations give Ck ≈ 1.9 in fairly good agreement with the existing theoretical estimates.

Original languageEnglish
Pages (from-to)544-547
Number of pages4
JournalPhysics of Fluids
Issue number2
Publication statusPublished - Apr 19 2001
Externally publishedYes


ASJC Scopus subject areas

  • Condensed Matter Physics

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