Self-similar damping of turbulence at large Reynolds number

Amortissement autosimilaire d'une turbulence à grand nombre de Reynolds

M Lesieur (1) , D Schertzer (2)

1 IMG - Institut de Mécanique de Grenoble (IMG)
2 EERM - ETABLISSEMENT D'ETUDES ET DE RECHERCHES METEOROLOGIQUES

'Nonlocal' interactions have a great effect on the dynamics of energy-containing eddies and the decay of kinetic energy in three-dimensional homogeneous isotropic turbulence. The present paper uses quasi-normal Markovian theory with eddy damping to examine such nonlocal interactions. It is shown that in the limit of infinite Reynolds numbers the kinetic energy spectrum evolves asymptotically in a self-similar way.

Mots clés: Damping; Energy Dissipation; Homogeneous Turbulence; Isotropic Turbulence; Similarity Theorem; Energy Spectra; Energy Transfer; Kinetic Energy; Markov Processes; Reynolds Number; Spectrum Analysis; Viscosity; Fluid Mechanics and Heat Transfer

Domaines: Sciences de l'environnement

M Lesieur, D Schertzer. Amortissement autosimilaire d'une turbulence à grand nombre de Reynolds. Journal de Mécanique, 1978, 17 (4), pp.609-646. ⟨hal-02918060⟩