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Anistropy of turbulence in stably stratified mixing layers

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Field Value
Title Anistropy of turbulence in stably stratified mixing layers
Names Smyth, William D. (creator)
Moum, James N. (creator)
Date Issued 2000-06 (iso8601)
Abstract Direct numerical simulations of turbulence resulting from Kelvin–Helmholtz instability in stably
stratified shear flow are used to study sources of anisotropy in various spectral ranges. The set of
simulations includes various values of the initial Richardson and Reynolds numbers, as well as
Prandtl numbers ranging from 1 to 7. We demonstrate that small-scale anisotropy is determined
almost entirely by the spectral separation between the small scales and the larger scales on which
background shear and stratification act, as quantified by the buoyancy Reynolds number.
Extrapolation of our results suggests that the dissipation range becomes isotropic at buoyancy
Reynolds numbers of order 105, although we cannot rule out the possibility that small-scale
anisotropy persists at arbitrarily high Reynolds numbers, as some investigators have suggested.
Correlation-coefficient spectra reveal the existence of anisotropic flux reversals in the dissipation
subrange whose magnitude decreases with increasing Reynolds number. The scalar concentration
field tends to be more anisotropic than the velocity field. Estimates of the dissipation rates of kinetic
energy and scalar variance based on the assumption of isotropy are shown to be accurate for
buoyancy Reynolds numbers greater than O(10²). Such estimates are therefore reliable for use in
the interpretation of most geophysical turbulence data, but may give misleading results when
applied to smaller-scale flows.
Genre Article
Identifier Smyth, W. D., & Moum, J. N. (2000). Anistropy of turbulence in stably stratified mixing layers. Physics of Fluids, 12(6), 1343-1362.

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