Anomalous scaling of structure functions and dynamic constraints on turbulence simulations

Research output: Contribution to journalArticle

Abstract

The connection between anomalous scaling of structure functions (intermittency) and numerical methods for turbulence simulations is discussed. It is argued that the computational work for direct numerical simulations (DNS) of fully developed turbulence increases as Re 4, and not as Re 3 expected from Kolmogorov's theory, where Re is a large-scale Reynolds number. Various relations for the moments of acceleration and velocity derivatives are derived. An infinite set of exact constraints on dynamically consistent subgrid models for Large Eddy Simulations (LES) is derived from the Navier-Stokes equations, and some problems of principle associated with existing LES models are highlighted.

Original languageEnglish (US)
Pages (from-to)823-841
Number of pages19
JournalJournal of Statistical Physics
Volume121
Issue number5-6
DOIs
StatePublished - Dec 2005

Fingerprint

Anomalous Scaling
Large Eddy Simulation
large eddy simulation
Structure-function
Turbulence
Kolmogorov theory
turbulence
scaling
Intermittency
intermittency
direct numerical simulation
Navier-Stokes equation
Reynolds number
Navier-Stokes Equations
Simulation
Simulation Model
simulation
Numerical Methods
Moment
moments

Keywords

  • Anomalous scaling
  • Direct numerical simulations
  • Hydrodynamic turbulence
  • Large eddy simulations

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Anomalous scaling of structure functions and dynamic constraints on turbulence simulations. / Yakhot, Victor; Sreenivasan, Katepalli R.

In: Journal of Statistical Physics, Vol. 121, No. 5-6, 12.2005, p. 823-841.

Research output: Contribution to journalArticle

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