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Title: Asymptotic Dynamics of High Dynamic Range Stratified Turbulence

Abstract

Direct numerical simulations of homogeneous sheared and stably stratified turbulence are considered to probe the asymptotic high-dynamic range regime suggested by Gargett et al. [1] and Shih et al. [2]. We consider statistically stationary configurations of the flow that span three decades in dynamic range defined by the separation between the Ozmidov length scale, L O = √ ε/N 3, and the Kolmogorov length scale, L K = (ν 3/ε) 1/4 , up to Re b ≡ (L O/L K) 4/3 = ε/(νN 2 ) ~ O(1000), where ε is the mean turbulent kinetic energy dissipation rate, ν is the kinematic viscosity, and N is the buoyancy frequency. We isolate the effects of Reb, particularly on irreversible mixing, from the effects of other flow parameters of stratified and sheared turbulence [3]. Specifically, we evaluate the influence of dynamic range independent of initial conditions. We present evidence that the flow approaches an asymptotic state for Re b ⪆ 300, characterized both by an asymptotic partitioning between the potential and kinetic energies and by the approach of components of the dissipation rate to their expected values under the assumption of isotropy. As Re b increases above 100, there is a slight decreasemore » in the turbulent flux coefficient Γ = χ/ε, where χ is the dissipation rate of buoyancy variance, but, for this flow, there is no evidence of the commonly suggested Γ ∝ Re b -1/2 dependence when 100 ≤ Re b ≤ 1000.« less

Authors:
ORCiD logo [1];  [2];  [3]
  1. Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Massachusetts, Amherst, MA (United States)
  3. Univ. of Cambridge (United Kingdom)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
Domestic Funding
OSTI Identifier:
1526964
Report Number(s):
LA-UR-19-23048
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 122; Journal Issue: 19; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Portwood, Gavin Dunn, de Bruyn Kops, S. M., and Caulfield, C. P. Asymptotic Dynamics of High Dynamic Range Stratified Turbulence. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.122.194504.
Portwood, Gavin Dunn, de Bruyn Kops, S. M., & Caulfield, C. P. Asymptotic Dynamics of High Dynamic Range Stratified Turbulence. United States. https://doi.org/10.1103/PhysRevLett.122.194504
Portwood, Gavin Dunn, de Bruyn Kops, S. M., and Caulfield, C. P. Fri . "Asymptotic Dynamics of High Dynamic Range Stratified Turbulence". United States. https://doi.org/10.1103/PhysRevLett.122.194504. https://www.osti.gov/servlets/purl/1526964.
@article{osti_1526964,
title = {Asymptotic Dynamics of High Dynamic Range Stratified Turbulence},
author = {Portwood, Gavin Dunn and de Bruyn Kops, S. M. and Caulfield, C. P.},
abstractNote = {Direct numerical simulations of homogeneous sheared and stably stratified turbulence are considered to probe the asymptotic high-dynamic range regime suggested by Gargett et al. [1] and Shih et al. [2]. We consider statistically stationary configurations of the flow that span three decades in dynamic range defined by the separation between the Ozmidov length scale, LO = √ ε/N3, and the Kolmogorov length scale, LK = (ν3/ε)1/4 , up to Reb ≡ (LO/LK)4/3 = ε/(νN2 ) ~ O(1000), where ε is the mean turbulent kinetic energy dissipation rate, ν is the kinematic viscosity, and N is the buoyancy frequency. We isolate the effects of Reb, particularly on irreversible mixing, from the effects of other flow parameters of stratified and sheared turbulence [3]. Specifically, we evaluate the influence of dynamic range independent of initial conditions. We present evidence that the flow approaches an asymptotic state for Reb ⪆ 300, characterized both by an asymptotic partitioning between the potential and kinetic energies and by the approach of components of the dissipation rate to their expected values under the assumption of isotropy. As Reb increases above 100, there is a slight decrease in the turbulent flux coefficient Γ = χ/ε, where χ is the dissipation rate of buoyancy variance, but, for this flow, there is no evidence of the commonly suggested Γ ∝ Reb -1/2 dependence when 100 ≤ Reb ≤ 1000.},
doi = {10.1103/PhysRevLett.122.194504},
url = {https://www.osti.gov/biblio/1526964}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 19,
volume = 122,
place = {United States},
year = {2019},
month = {5}
}

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