1982
DOI: 10.1017/s0022112082002560
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A comparative assessment of spectral closures as applied to passive scalar diffusion

Abstract: We compare - both analytically and numerically – two related spectral (≡ two-point) closures for the problem of the decay of temperature fluctuations convected by isotropic turbulence. The methods are the test-field model (TFM) (Kraichnan 1971; Newman & Herring 1979) and the eddy-damped quasinormal Markovian (ENQNM) approximation (Orszag 1974; Lesieur & Schertzer 1978). We show that EDQNM may be regarded as a rational approximation to, and simplification of, the TFM, except at small wavenumbers, where an addit… Show more

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Cited by 139 publications
(97 citation statements)
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“…This gives a direct confirmation that the bottleneck is due to the depletion of the energy transfer due to local interactions with K ∼ P ∼ Q. These interactions are inhibited because of the presence of a numerical and/or viscous cutoff in wavenumber, and nonlocal triads become dominant [38,39,40,41]. Indeed, in Ref.…”
Section: Influence Of the Large Scale Flow On Turbulencementioning
confidence: 63%
“…This gives a direct confirmation that the bottleneck is due to the depletion of the energy transfer due to local interactions with K ∼ P ∼ Q. These interactions are inhibited because of the presence of a numerical and/or viscous cutoff in wavenumber, and nonlocal triads become dominant [38,39,40,41]. Indeed, in Ref.…”
Section: Influence Of the Large Scale Flow On Turbulencementioning
confidence: 63%
“…First, unlike incompressible Navier-Stokes, MHD supports oscillatory solutions (Alfvén waves) which are linked to enhanced spectral nonlocality of energy transfer [6,45] leading to dynamic interactions between widely separated scales. For Navier-Stokes, the depletion of energy transfer due to local interactions at some cutoff in wavenumber is believed to bring about the bottleneck effect [46,47,48,49]. However, related to the spectrally nonlocal energy transfer via Alfvén waves, MHD does not seem to exhibit a bottleneck in its spectra between the inertial and dissipative ranges [14].…”
Section: B the Lack Of Rigid Bodies In Lamhd In The Large−α Limit Fomentioning
confidence: 99%
“…Within this framework, power law decay can be possible [12], and an expression similar to (11) can be derived for the scalar variance. The resulting expression (Herring et al [13]) is:…”
Section: Analysis and Scalingsmentioning
confidence: 99%
“…The isotropic scalar formulation used here was first proposed by Vignon et al [17,18] and Herring et al [13]. The evolution equations for the kinetic energy spectrum of an isotropic turbulence and for the passive scalar spectrum are respectively:…”
Section: Closure and Large-eddy Simulation A Edqnmmentioning
confidence: 99%
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