Links between dissipation, intermittency, and helicity in the GOY model revisited

High-resolution simulations within the GOY shell model are used to study various scaling relations for turbulence. A power-law relation between the second-order intermittency correction and the crossover from the inertial to the dissipation range is confirmed. Evidence is found for the intermediate...

Full description

Saved in:
Bibliographic Details
Published inPhysica. D Vol. 218; no. 1; pp. 1 - 10
Main Authors Bowman, John C., Doering, Charles R., Eckhardt, Bruno, Davoudi, Jahanshah, Roberts, Malcolm, Schumacher, Jörg
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.06.2006
Elsevier
Subjects
Dissipation scale
Exact sciences and technology
GOY shell model
Helicity
Intermediate dissipation range
Intermittency
Physics
Turbulence
Turbulence
Dissipation scale
GOY shell model
Helicity
Intermediate dissipation range
Intermittency
Second order
Energy spectra
Non linear phenomenon
Shell models
Viscous dissipation
Power law
Corrections
Online AccessGet full text

Cover

More Information
Summary:High-resolution simulations within the GOY shell model are used to study various scaling relations for turbulence. A power-law relation between the second-order intermittency correction and the crossover from the inertial to the dissipation range is confirmed. Evidence is found for the intermediate viscous dissipation range proposed by Frisch and Vergassola. It is emphasized that insufficient dissipation-range resolution systematically drives the energy spectrum towards statistical mechanical equipartition. In fully resolved simulations the inertial-range scaling exponents depend on both model parameters; in particular, there is no evidence that the conservation of a helicity-like quantity leads to universal exponents.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2006.01.028