Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Effective drift velocity from turbulent transport by vorticity

Abstract

We highlight the differing roles of vorticity and strain in the transport of coarse-grained scalars at length-scales larger than l by smaller scale (subscale) turbulence. We use the first term in a multiscale gradient expansion due to Eyink [1], which exhibits excellent correlation with the exact subscale physics when the partitioning length l is any scale smaller than that of the spectral peak. We show that unlike subscale strain, which acts as an anisotropic diffusion/anti-diffusion tensor, subscale vorticity’s contribution is solely a conservative advection of coarse-grained quantities by an eddy-induced non-divergent velocity, v*, that is proportional to the curl of vorticity. Therefore, material (Lagrangian) advection of coarse-grained quantities is accomplished not by the coarse grained flow velocity, u , but by the effective velocity, u + v*, the physics of which may improve commonly used LES models.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1];  [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [1]
+ Show Author Affiliations
  1. Univ. of Rochester, NY (United States)
  2. NOAA/Geophysical Fluid Dynamics Lab., Princeton, NJ (United States); Princeton Univ. Program in Atmospheric and Oceanic Sciences, NJ (United States)
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); National Aeronautics and Space Administration (NASA)
OSTI Identifier:
1890485
Alternate Identifier(s):
OSTI ID: 1903295; OSTI ID: 1957732
Grant/Contract Number:  
SC0020229; SC0019329; CBET-2143702; PHY-2020249; PHY-2206380; OCE-2123496; 80NSSC18K0772; NA0003856; SC0014318; NA0003914; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Fluids (Online)
Additional Journal Information:
Journal Name: Physical Review Fluids (Online); Journal Volume: 7; Journal Issue: 10; Journal ID: ISSN 2469-990X
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Astrophysical fluid dynamics; Geophysical fluid dynamics; Turbulence; Chaos & nonlinear dynamics; Navier-Stokes equation

Citation Formats

Aluie, Hussein, Rai, Shikhar, Yin, Hao, Lees, Aarne, Zhao, Dongxiao, Griffies, Stephen M., Adcroft, Alistair, and Shang, Jessica K. Effective drift velocity from turbulent transport by vorticity. United States: N. p., 2022. Web. doi:10.1103/physrevfluids.7.104601.
Copy to clipboard
Aluie, Hussein, Rai, Shikhar, Yin, Hao, Lees, Aarne, Zhao, Dongxiao, Griffies, Stephen M., Adcroft, Alistair, & Shang, Jessica K. Effective drift velocity from turbulent transport by vorticity. United States. https://doi.org/10.1103/physrevfluids.7.104601
Copy to clipboard
Aluie, Hussein, Rai, Shikhar, Yin, Hao, Lees, Aarne, Zhao, Dongxiao, Griffies, Stephen M., Adcroft, Alistair, and Shang, Jessica K. Mon . "Effective drift velocity from turbulent transport by vorticity". United States. https://doi.org/10.1103/physrevfluids.7.104601. https://www.osti.gov/servlets/purl/1890485.
Copy to clipboard
@article{osti_1890485,
title = {Effective drift velocity from turbulent transport by vorticity},
author = {Aluie, Hussein and Rai, Shikhar and Yin, Hao and Lees, Aarne and Zhao, Dongxiao and Griffies, Stephen M. and Adcroft, Alistair and Shang, Jessica K.},
abstractNote = {We highlight the differing roles of vorticity and strain in the transport of coarse-grained scalars at length-scales larger than l by smaller scale (subscale) turbulence. We use the first term in a multiscale gradient expansion due to Eyink [1], which exhibits excellent correlation with the exact subscale physics when the partitioning length l is any scale smaller than that of the spectral peak. We show that unlike subscale strain, which acts as an anisotropic diffusion/anti-diffusion tensor, subscale vorticity’s contribution is solely a conservative advection of coarse-grained quantities by an eddy-induced non-divergent velocity, v*, that is proportional to the curl of vorticity. Therefore, material (Lagrangian) advection of coarse-grained quantities is accomplished not by the coarse grained flow velocity, u , but by the effective velocity, u + v*, the physics of which may improve commonly used LES models.},
doi = {10.1103/physrevfluids.7.104601},
journal = {Physical Review Fluids (Online)},
number = 10,
volume = 7,
place = {United States},
year = {Mon Oct 03 00:00:00 EDT 2022},
month = {Mon Oct 03 00:00:00 EDT 2022}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/physrevfluids.7.104601
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Multi-scale gradient expansion of the turbulent stress tensor
journal, February 2006

Localness of energy cascade in hydrodynamic turbulence. I. Smooth coarse graining
journal, November 2009

  • Eyink, Gregory L.; Aluie, Hussein
  • Physics of Fluids, Vol. 21, Issue 11
  • DOI: 10.1063/1.3266883

The GFDL Global Ocean and Sea Ice Model OM4.0: Model Description and Simulation Features
journal, October 2019

  • Adcroft, Alistair; Anderson, Whit; Balaji, V.
  • Journal of Advances in Modeling Earth Systems, Vol. 11, Issue 10
  • DOI: 10.1029/2019MS001726

Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows
book, January 1975

  • Leonard, A.
  • Turbulent Diffusion in Environmental Pollution, Proceedings of a Symposium held at Charlottesville
  • DOI: 10.1016/S0065-2687(08)60464-1

On the role of vorticity stretching and strain self-amplification in the turbulence energy cascade
journal, July 2021

Onsager's conjecture on the energy conservation for solutions of Euler's equation
journal, October 1994

  • Constantin, Peter; Weinan, E.; Titi, Edriss S.
  • Communications in Mathematical Physics, Vol. 165, Issue 1
  • DOI: 10.1007/BF02099744

Passive scalar anisotropy in a heated turbulent wake: new observations and implications for large-eddy simulations
journal, August 2001

Turbulence with Large Thermal and Compositional Density Variations
journal, January 2020

Compressible Turbulence: The Cascade and its Locality
journal, April 2011

Reynolds and Mach number scaling in solenoidally-forced compressible turbulence using high-resolution direct numerical simulations
journal, January 2016

  • Jagannathan, Shriram; Donzis, Diego A.
  • Journal of Fluid Mechanics, Vol. 789
  • DOI: 10.1017/jfm.2015.754

Ten Lectures on Wavelets
book, January 1992

Implicit Large Eddy Simulation: Computing Turbulent Fluid Dynamics
book, July 2007

A proposal for a redefinition of the turbulent stresses in the filtered Navier–Stokes equations
journal, January 1986

Isopycnal Mixing in Ocean Circulation Models
journal, January 1990

Scale decomposition in compressible turbulence
journal, March 2013

The Density Probability Distribution in Compressible Isothermal Turbulence: Solenoidal versus Compressive Forcing
journal, October 2008

  • Federrath, Christoph; Klessen, Ralf S.; Schmidt, Wolfram
  • The Astrophysical Journal, Vol. 688, Issue 2
  • DOI: 10.1086/595280

Scale of oceanic eddy killing by wind from global satellite observations
journal, July 2021

  • Rai, Shikhar; Hecht, Matthew; Maltrud, Matthew
  • Science Advances, Vol. 7, Issue 28
  • DOI: 10.1126/sciadv.abf4920

Turbulent Flows
book, July 2012

Convolutions on the sphere: commutation with differential operators
journal, January 2019

Biharmonic Friction with a Smagorinsky-Like Viscosity for Use in Large-Scale Eddy-Permitting Ocean Models
journal, August 2000

Inviscid criterion for decomposing scales
journal, May 2018

Baropycnal Work: A Mechanism for Energy Transfer across Scales
journal, May 2019

Transport effects associated with turbulence with particular attention to the influence of helicity
journal, May 1983

Evaluation of subgrid-scale models using an accurately simulated turbulent flow
journal, March 1979

  • Clark, Robert A.; Ferziger, Joel H.; Reynolds, W. C.
  • Journal of Fluid Mechanics, Vol. 91, Issue 01
  • DOI: 10.1017/S002211207900001X

Scale-Invariance and Turbulence Models for Large-Eddy Simulation
journal, January 2000

Locality of turbulent cascades
journal, July 2005

A Priori Field Study of the Subgrid-Scale Heat Fluxes and Dissipation in the Atmospheric Surface Layer
journal, September 2001

Realizability conditions for the turbulent stress tensor in large-eddy simulation
journal, November 1994

On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet
journal, September 1994

On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence
journal, April 1951

  • Corrsin, Stanley
  • Journal of Applied Physics, Vol. 22, Issue 4
  • DOI: 10.1063/1.1699986

Localness of energy cascade in hydrodynamic turbulence. II. Sharp spectral filter
journal, November 2009

  • Aluie, Hussein; Eyink, Gregory L.
  • Physics of Fluids, Vol. 21, Issue 11
  • DOI: 10.1063/1.3266948

Mapping the Energy Cascade in the North Atlantic Ocean: The Coarse-Graining Approach
journal, February 2018

  • Aluie, Hussein; Hecht, Matthew; Vallis, Geoffrey K.
  • Journal of Physical Oceanography, Vol. 48, Issue 2
  • DOI: 10.1175/JPO-D-17-0100.1

Subgrid-scale modelling for the large-eddy simulation of high-Reynolds-number boundary layers
journal, April 1997

Coarse-grained incompressible magnetohydrodynamics: analyzing the turbulent cascades
journal, February 2017

The heat flux and the temperature gradient in the lower atmosphere: HEAT FLUX-TEMPERATURE GRADIENT ALIGNMENT
journal, November 2004

  • Higgins, Chad W.; Parlange, Marc B.; Meneveau, Charles
  • Geophysical Research Letters, Vol. 31, Issue 22
  • DOI: 10.1029/2004GL020053

Turbulence: the filtering approach
journal, May 1992

The Gent–McWilliams Skew Flux
journal, May 1998

A prioristudy of subgrid-scale flux of a passive scalar in isotropic homogeneous turbulence
journal, September 2008

Local energy flux and subgrid-scale statistics in three-dimensional turbulence
journal, July 1998

A Primer on the Vertical Lagrangian‐Remap Method in Ocean Models Based on Finite Volume Generalized Vertical Coordinates
journal, October 2020

  • Griffies, Stephen M.; Adcroft, Alistair; Hallberg, Robert W.
  • Journal of Advances in Modeling Earth Systems, Vol. 12, Issue 10
  • DOI: 10.1029/2019MS001954

An examination of forcing in direct numerical simulations of turbulence
journal, January 1988

Skew Fluxes in Polarized Wave Fields
journal, January 1989

    Sort by:
    [ × clear filter / sort ]

    Similar Records in DOE PAGES and OSTI.GOV collections: