Stretching and alignment in chaotic and turbulent flows

M. Tabor, I. Klapper

Research output: Contribution to journalArticle

44 Scopus citations

Abstract

The kinematical and dynamical issues involved in stretching and alignment in chaotic and turbulent flows are examined. Dynamical systems tools, such as Lyapunov exponents, are discussed in the context of fluid mechanical problems and their connection with stretching rates in turbulent flows. Formalisms for the stretching and alignment of passive scalars, passive vectors and nonpassive vectors are developed and the interplay between kinematics and dynamics emphasized. This enables us to compare and contrast the behavior of line elements, gradients of scalar fields, vorticity and magnetic field lines.

Original languageEnglish (US)
Pages (from-to)1031-1055
Number of pages25
JournalChaos, solitons and fractals
Volume4
Issue number6
DOIs
StatePublished - Jun 1994

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Stretching and alignment in chaotic and turbulent flows'. Together they form a unique fingerprint.

  • Cite this