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Article
A priori evaluations and least-squares optimizations of turbulence models for fully developed rotating turbulent channel flow
| Authors: |
Grundestam, O.G., Wallin, S.W., Johansson, A.V.J. |
| Document Type: |
Article |
| Pubstate: |
Published |
| Journal: |
European Journal of Mechanics B/Fluids |
| Volume: |
27
75-95 |
| Year: |
2008 |
AbstractThe present study involves a priori tests of pressure-strain and dissipation rate tensor models using data from direct numerical simulations (DNS) of fully developed turbulent channel flow with and without spanwise system rotation. Three different pressure-strain rate models are tested ranging from a simple quasi-linear model to a realizable fourth order model. The evaluations demonstrate the difficulties of developing RANS-models that accurately describe the flow for a wide range of rotation numbers. Furthermore, least-squares based tensor representations of the exact pressure-strain and dissipation rate tensors are derived pointwise in space. The relation obtained for the rapid pressure-strain rate is exact for general 2D mean flows. Hence, the corresponding distribution of the optimized coefficients show the ideal behaviour. The corresponding representations for the slow pressure-strain and dissipation rate tensors are incomplete but still optimal in a least-squares sense. On basis of the least-squares analysis it is argued that the part of the representation that is tensorially linear in the Reynolds stress anisotropy is the most important for these parts.
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