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  • Journal of Fluid Mechanics, Volume 250
  • May 1993, pp. 509-529

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

  • W. Rodi (a1) and N. N. Mansour (a2)
  • DOI: http://dx.doi.org/10.1017/S0022112093001545
  • Published online: 01 April 2006
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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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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