MODIFIED CUMULANT EXPANSION FOR TWO-DIMENSIONAL ISOTROPIC TURBULENCE.

Tomomasa Tatsumi, Shinichiro Yanase

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The two-dimensional isotropic turbulence in an incompressible fluid is investigated using the modified zero fourth-order cumulant approximation. The dynamical equation for the energy spectrum obtained under this approximation is solved numerically and the similarity laws governing the solution in the energy-containing and enstrophy-dissipation ranges are derived analytically. At large Reynolds numbers the numerical solutions yield the k** minus **3 inertial subrange spectrum which was predicted by R. H. Kraichnan, C. E. Leith (1968) and G. K. Batchelor assuming a finite enstrophy dissipation in the inviscid limit. There exists a critical time t//c in which the enstrophy dissipation vanishes and remains non-zero respectively in the inviscid limit. Unlike the case of three-dimensional turbulence, t//c is not fixed but increases indefinitely as the viscosity tends to zero. Refs.

Original languageEnglish
Pages (from-to)475-496
Number of pages22
JournalJournal of Fluid Mechanics
Volume110
Publication statusPublished - Sep 1981
Externally publishedYes

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isotropic turbulence
vorticity
Turbulence
dissipation
expansion
Reynolds number
incompressible fluids
Viscosity
approximation
Fluids
energy spectra
turbulence
viscosity
energy

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

MODIFIED CUMULANT EXPANSION FOR TWO-DIMENSIONAL ISOTROPIC TURBULENCE. / Tatsumi, Tomomasa; Yanase, Shinichiro.

In: Journal of Fluid Mechanics, Vol. 110, 09.1981, p. 475-496.

Research output: Contribution to journalArticle

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