Homogenization and visco-elasticity of turbulence

  • Z. S. She
  • U. Frisch
  • O. Thual
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 230)


A multiple-scale analysis (homogenization) is applied to study the stability of steady cellular solutions of the one-dimensional Kuramoto-Sivashinsky equation with 2π-periodic boundary conditions. It is found that these solutions exhibit visco-elastic behaviour under very large wavelength perturbations. This elasticity property is then extended to Navier-Stokes turbulence. It is suggested that two-dimensional flame fronts and various turbulent flows (e.g. solar granulation and cloud streets) may display elasticity. Inclusion of elasticity into engineering turbulence modelling is also discussed.


Cellular Motion Elastic Effect Engineering Turbulence Solar Granulation Slow Time Dependence 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Z. S. She
    • 1
  • U. Frisch
    • 2
  • O. Thual
    • 3
  1. 1.Observatoire de MeudonMeudon Principal CedexFrance
  2. 2.C.N.R.S. Observatoire de NiceNice CedexFrance
  3. 3.C.N.R.M.Toulouse CedexFrance

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