Stretching and Distortion of Material Line Elements in Two-Dimensional Turbulence

Takashi Ishihara, Yukio Kaneda

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


A study is made of the stretching and distortion of material line elements in turbulence both analytically and numerically. Approximations for the statistics of these processes derived by perturbative expansions are tested by comparison with dynamical simulations in two dimensions. An. integral time scale associated with the Lagrangian statistics of the velocity gradients plays a key role in the approximations. A rough estimation of the time scale is obtained by a dynamical short-time analysis by making use of the Navier-Stokes equation.

Original languageEnglish
Pages (from-to)3547-3558
Number of pages12
Journaljournal of the physical society of japan
Issue number10
Publication statusPublished - Oct 1992
Externally publishedYes


  • curvature
  • dynamical short time analysis
  • material line elements
  • stretching

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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