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Model of non-stationary, inhomogeneous turbulence

Publication ,  Journal Article
Bragg, AD; Kurien, S; Clark, TT
Published in: Theoretical and Computational Fluid Dynamics
February 1, 2017

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.

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Published In

Theoretical and Computational Fluid Dynamics

DOI

EISSN

1432-2250

ISSN

0935-4964

Publication Date

February 1, 2017

Volume

31

Issue

1

Start / End Page

51 / 66

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4012 Fluid mechanics and thermal engineering
  • 0913 Mechanical Engineering
  • 0203 Classical Physics
  • 0102 Applied Mathematics
 

Citation

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Bragg, A. D., Kurien, S., & Clark, T. T. (2017). Model of non-stationary, inhomogeneous turbulence. Theoretical and Computational Fluid Dynamics, 31(1), 51–66. https://doi.org/10.1007/s00162-016-0401-1
Bragg, A. D., S. Kurien, and T. T. Clark. “Model of non-stationary, inhomogeneous turbulence.” Theoretical and Computational Fluid Dynamics 31, no. 1 (February 1, 2017): 51–66. https://doi.org/10.1007/s00162-016-0401-1.
Bragg AD, Kurien S, Clark TT. Model of non-stationary, inhomogeneous turbulence. Theoretical and Computational Fluid Dynamics. 2017 Feb 1;31(1):51–66.
Bragg, A. D., et al. “Model of non-stationary, inhomogeneous turbulence.” Theoretical and Computational Fluid Dynamics, vol. 31, no. 1, Feb. 2017, pp. 51–66. Scopus, doi:10.1007/s00162-016-0401-1.
Bragg AD, Kurien S, Clark TT. Model of non-stationary, inhomogeneous turbulence. Theoretical and Computational Fluid Dynamics. 2017 Feb 1;31(1):51–66.
Journal cover image

Published In

Theoretical and Computational Fluid Dynamics

DOI

EISSN

1432-2250

ISSN

0935-4964

Publication Date

February 1, 2017

Volume

31

Issue

1

Start / End Page

51 / 66

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4012 Fluid mechanics and thermal engineering
  • 0913 Mechanical Engineering
  • 0203 Classical Physics
  • 0102 Applied Mathematics