Skip to main content Accessibility help
×
Home

Low Reynolds number k—ε modelling with the aid of direct simulation data

  • W. Rodi (a1) and N. N. Mansour (a2)

Abstract

The constant Cμ and the near-wall damping function fμ in the eddy-viscosity relation of the k–ε model are evaluated from direct numerical simulation (DNS) data for developed channel and boundary-layer flow, each at two Reynolds numbers. Various existing fμ model functions are compared with the DNS data, and a new function is fitted to the high-Reynolds-number channel flow data. The ε-budget is computed for the fully developed channel flow. The relative magnitude of the terms in the ε-equation is analysed with the aid of scaling arguments, and the parameter governing this magnitude is established. Models for the sum of all source and sink terms in the ε-equation are tested against the DNS data, and an improved model is proposed.

Copyright

References

Hide All
Bardina, J. 1988 Turbulence modelling based on direct simulation of the Navier–Stokes equations. First National Fluid Dynamics Congress, Cincinnati, Ohio, AIAA 88-3747-CP.
Bardina, J., Ferziger, J. H. & Reynolds, W. C. 1983 Improved turbulence models based on large-eddy simulation of homogeneous incompressible, turbulent flows. Rep. TF-19. Thermosciences Division, Department of Mechanical Engineering, Stanford University.
Chien, K.-Y. 1982 Predictions of channel and boundary-layer flows with a low-Reynolds-number turbulence model. AIAA J. 20, 3338 (referred to herein as CH)
Durbin, P. A. 1990 Near-wall turbulence closure modeling without ‘damping functions’. CTR manuscript 112. Center for Turbulence Research, Stanford University.
Hanjalić, K. & Launder, B. E. 1976 Contribution towards a Reynolds-stress closure for low-Reynolds-number turbulence. J. Fluid Mech. 74, 593610.
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133166.
Lam, C. K. G. & Bremhorst, K. A. 1981 Modified form of the k-ε model for predicting wall turbulence. Trans. ASME I: J. Fluids Engng 103, 456460 (referred to herein as LB.)
Laufer, J. 1954 The structure of turbulence in fully developed pipe flow. NACA Rep. 1174.
Launder, B. E. 1986 Low-Reynolds-number turbulence near walls. Rep. TFD/86/4. UMIST, Manchester.
Launder, B. E., Reece, G. J. & Rodi, W. 1975 Progress in the development of a Reynolds-stress turbulence closure. J. Fluid Mech. 68, 537566.
Launder, B. E. & Sharma, B. I. 1974 Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disk. Lett. Heat Mass Transfer 1, 131138 (referred to herein as LS.)
Mansour, N. N. 1991 The use of direct numerical simulation data in turbulence modelling. 29th Aerospace Sciences Meeting, Reno, Nevada, AIAA 91-0221.
Mansour, N. N., Kim, J. & Moin, P. 1988. Reynolds-stress and dissipation rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 1544.
Michelassi, V., Rodi, W. & Zhu, J. 1992 Testing a low Reynolds number k-ε turbulence model based on direct simulation data. Rep. SFB 210/T/83, University of Karlsruhe, Germany (also, to appear in abbreviated form as a Technical Note in AIAA J..)
Nagano, Y. & Tagawa, M. 1990 An improved k–ε model for boundary layer flows. Trans. ASME I: J. Fluids Engng 112, 3339 (referred to herein as NT.)
Patel, V. C., Rodi, W. & Scheuerer, G. 1985 Turbulence models for near-wall and low-Reynolds-number flows: A review. AIAA J. 23, 13081319.
Rodi, W. 1971 On the equation governing the rate of turbulent energy dissipation. Rep. TM/TN/A/14, Imperial College of Science and Technology, Department of Mechanical Engineering, London.
Rodi, W. 1975 A note on the empirical constant in the Kolmogorov–Prandtl eddy-viscosity expression. Trans. ASME I: J. Fluids Engng 97, 386389.
Shih, T.-H. & Mansour, N. N. 1990 Modelling of near-wall turbulence. In Engineering Turbulence Modelling and Experiments (ed. W. Rodi & E. N. Ganić). Elsevier (referred to herein as SM.)
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to Rθ = 1410. J. Fluid Mech. 187, 6198.
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. The MIT Press.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Related content

Powered by UNSILO

Low Reynolds number k—ε modelling with the aid of direct simulation data

  • W. Rodi (a1) and N. N. Mansour (a2)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.