On reformulating the erm-based second-moment closure towards a more robust turbulence model

J. Hui, Shinnosuke Obi, S. Jakirlic

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

The present study considers a reformulation of the Durbin's (1993) ERM-based second-moment closure model aiming at reduction of the numerical stiffness originating from the wall boundary conditions. The reformulation performed represents an analogy to the procedure Hanjalic et al. (2004) proposed when deriving the eddy-viscosity-based ζ − f model. The presently reformulated model alternatively solves the transport equations for the ratio of the Reynolds stress components to turbulent kinetic energy ζij = uiuj/k, instead of equations governing the Reynolds stress tensor. It is believed that the boundary conditions of the newly derived elliptic relaxation equations will contribute to the numerical robustness of the model with respect to the immediate wall vicinity. Another advantage, analogously to the Hanjalic's et al. ζ − f model, is the appearance of the Reynolds stress production rate (representing an exact formulation) in the ζij equations instead of dissipation rate ε (originating from the corresponding model equation). Application of the present model formulation to a plane channel flow in a range of Reynolds numbers up to Reτ = 2003 results in a good agreement with available DNS database.

Original languageEnglish
Publication statusPublished - 2011 Jan 1
Event7th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2011 - Ottawa, Canada
Duration: 2011 Jul 282011 Jul 31

Other

Other7th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2011
CountryCanada
CityOttawa
Period11/7/2811/7/31

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Turbulence models
Boundary conditions
Channel flow
Kinetic energy
Tensors
Reynolds number
Stiffness
Viscosity

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

Cite this

Hui, J., Obi, S., & Jakirlic, S. (2011). On reformulating the erm-based second-moment closure towards a more robust turbulence model. Paper presented at 7th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2011, Ottawa, Canada.

On reformulating the erm-based second-moment closure towards a more robust turbulence model. / Hui, J.; Obi, Shinnosuke; Jakirlic, S.

2011. Paper presented at 7th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2011, Ottawa, Canada.

Research output: Contribution to conferencePaper

Hui, J, Obi, S & Jakirlic, S 2011, 'On reformulating the erm-based second-moment closure towards a more robust turbulence model' Paper presented at 7th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2011, Ottawa, Canada, 11/7/28 - 11/7/31, .
Hui J, Obi S, Jakirlic S. On reformulating the erm-based second-moment closure towards a more robust turbulence model. 2011. Paper presented at 7th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2011, Ottawa, Canada.
Hui, J. ; Obi, Shinnosuke ; Jakirlic, S. / On reformulating the erm-based second-moment closure towards a more robust turbulence model. Paper presented at 7th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2011, Ottawa, Canada.
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