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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.

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Chien, K.-Y.1982Predictions of channel and boundary-layer flows with a low-Reynolds-number turbulence model. AIAA J.20, 3338 (referred to herein as CH)

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.

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.1974Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disk. Lett. Heat Mass Transfer1, 131138 (referred to herein as LS.)

Mansour, N. N., Kim, J. & Moin, P. 1988. Reynolds-stress and dissipation rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 1544.

Patel, V. C., Rodi, W. & Scheuerer, G.1985Turbulence models for near-wall and low-Reynolds-number flows: A review. AIAA J.23, 13081319.

Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to Rθ = 1410. J. Fluid Mech. 187, 6198.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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