DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Model of non-stationary, inhomogeneous turbulence

Abstract

Here, we compare results from a spectral model for non-stationary, inhomogeneous turbulence (Besnard et al. in Theor Comp Fluid Dyn 8:1–35, 1996) with direct numerical simulation (DNS) data of a shear-free mixing layer (SFML) (Tordella et al. in Phys Rev E 77:016309, 2008). The SFML is used as a test case in which the efficacy of the model closure for the physical-space transport of the fluid velocity field can be tested in a flow with inhomogeneity, without the additional complexity of mean-flow coupling. The model is able to capture certain features of the SFML quite well for intermediate to long times, including the evolution of the mixing-layer width and turbulent kinetic energy. At short-times, and for more sensitive statistics such as the generation of the velocity field anisotropy, the model is less accurate. We propose two possible causes for the discrepancies. The first is the local approximation to the pressure-transport and the second is the a priori spherical averaging used to reduce the dimensionality of the solution space of the model, from wavevector to wavenumber space. DNS data are then used to gauge the relative importance of both possible deficiencies in the model.

Authors:
 [1];  [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of New Mexico, Albuquerque, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1331267
Report Number(s):
LA-UR-15-29117
Journal ID: ISSN 0935-4964
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Theoretical and Computational Fluid Dynamics
Additional Journal Information:
Journal Volume: 2016; Journal ID: ISSN 0935-4964
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Mathematics

Citation Formats

Bragg, Andrew D., Kurien, Susan, and Clark, Timothy T. Model of non-stationary, inhomogeneous turbulence. United States: N. p., 2016. Web. doi:10.1007/s00162-016-0401-1.
Bragg, Andrew D., Kurien, Susan, & Clark, Timothy T. Model of non-stationary, inhomogeneous turbulence. United States. https://doi.org/10.1007/s00162-016-0401-1
Bragg, Andrew D., Kurien, Susan, and Clark, Timothy T. Fri . "Model of non-stationary, inhomogeneous turbulence". United States. https://doi.org/10.1007/s00162-016-0401-1. https://www.osti.gov/servlets/purl/1331267.
@article{osti_1331267,
title = {Model of non-stationary, inhomogeneous turbulence},
author = {Bragg, Andrew D. and Kurien, Susan and Clark, Timothy T.},
abstractNote = {Here, we compare results from a spectral model for non-stationary, inhomogeneous turbulence (Besnard et al. in Theor Comp Fluid Dyn 8:1–35, 1996) with direct numerical simulation (DNS) data of a shear-free mixing layer (SFML) (Tordella et al. in Phys Rev E 77:016309, 2008). The SFML is used as a test case in which the efficacy of the model closure for the physical-space transport of the fluid velocity field can be tested in a flow with inhomogeneity, without the additional complexity of mean-flow coupling. The model is able to capture certain features of the SFML quite well for intermediate to long times, including the evolution of the mixing-layer width and turbulent kinetic energy. At short-times, and for more sensitive statistics such as the generation of the velocity field anisotropy, the model is less accurate. We propose two possible causes for the discrepancies. The first is the local approximation to the pressure-transport and the second is the a priori spherical averaging used to reduce the dimensionality of the solution space of the model, from wavevector to wavenumber space. DNS data are then used to gauge the relative importance of both possible deficiencies in the model.},
doi = {10.1007/s00162-016-0401-1},
journal = {Theoretical and Computational Fluid Dynamics},
number = ,
volume = 2016,
place = {United States},
year = {2016},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Turbulent Flows
book, July 2012


A two-scale second-moment turbulence closure based on weighted spectrum integration
journal, September 2004

  • Cadiou, A.; Hanjalić, K.; Stawiarski, K.
  • Theoretical and Computational Fluid Dynamics, Vol. 18, Issue 1
  • DOI: 10.1007/s00162-004-0118-4

Multiple-time-scale modeling of turbulent flows in one-point closures
journal, January 1987


Symmetries and the approach to statistical equilibrium in isotropic turbulence
journal, November 1998

  • Clark, Timothy T.; Zemach, Charles
  • Physics of Fluids, Vol. 10, Issue 11
  • DOI: 10.1063/1.869806

Spectral transport model for turbulence
journal, January 1996

  • Besnard, D. C.; Harlow, F. H.; Rauenzahn, R. M.
  • Theoretical and Computational Fluid Dynamics, Vol. 8, Issue 1
  • DOI: 10.1007/BF00312400

The structure of isotropic turbulence at very high Reynolds numbers
journal, May 1959


Statistical Dynamics of Classical Systems
journal, July 1973


A local energy-transfer theory of isotropic turbulence
journal, March 1974


Transport Equations in Turbulence
journal, January 1970


Progress in the development of a Reynolds-stress turbulence closure
journal, April 1975


A spectral model applied to homogeneous turbulence
journal, July 1995

  • Clark, Timothy T.; Zemach, Charles
  • Physics of Fluids, Vol. 7, Issue 7
  • DOI: 10.1063/1.868485

The shearless turbulence mixing layer
journal, October 1989


Decaying turbulence in the presence of a shearless uniform kinetic energy gradient
journal, February 2015


Sufficient condition for Gaussian departure in turbulence
journal, January 2008


Diffusion mixing in grid turbulence without mean shear
journal, September 1980


Scalar and tensor spherical harmonics expansion of the velocity correlation in homogeneous anisotropic turbulence
journal, June 2015


A generalized Heisenberg model for turbulent spectral dynamics
journal, August 2004

  • Rubinstein, Robert; Clark, Timothy T.
  • Theoretical and Computational Fluid Dynamics, Vol. 17, Issue 4
  • DOI: 10.1007/s00162-004-0104-x

The return to isotropy of homogeneous turbulence
journal, August 1977


Diffusion Approximation to Inertial Energy Transfer in Isotropic Turbulence
journal, January 1967


Reassessment of the classical turbulence closures: the Leith diffusion model
journal, January 2009


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

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

Small-Scale Anisotropy in Turbulent Shearless Mixing
journal, October 2011


Direct numerical simulation of inertial particle entrainment in a shearless mixing layer
journal, July 2012

  • Ireland, Peter J.; Collins, Lance R.
  • Journal of Fluid Mechanics, Vol. 704
  • DOI: 10.1017/jfm.2012.241