Spectral-Dynamic Model for Large-Eddy Simulations of Turbulent Rotating Channel Flow |
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Authors: | Eric Lamballais Olivier Métais Marcel Lesieur |
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Institution: | (1) Laboratoire d'Etudes Aérodynamiques, UMR CNRS 6609, Centre d'Etudes Aérodynamiques et Thermiques, 43 route de l'Aérodrome, 86036 Poitiers Cedex, France, FR;(2) Laboratoire des Ecoulements Géophysiques et Industriels, URA CNRS 5519, Institut de Mécanique de Grenoble, Institut National Polytechnique et Université Joseph Fourier, BP 53, 38041 Grenoble Cedex 9, France, FR |
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Abstract: | A new subgrid-scale model called the spectral-dynamic model is proposed. It consists of a refinement of spectral eddy-viscosity models taking into account nondeveloped turbulence in
the subgrid-scales. The proposed correction, which is derived from eddy-damped quasi-normal Markovian statistical theory,
is based on an adjustment of the turbulent eddy-viscosity coefficient to the deviation of the spectral slope (at small scales)
with respect to the standard Kolmogorov law. The spectral-dynamic model is applied to large eddy simulation (LES) of rotating
and nonrotating turbulent plane channel flows. It is shown that the proposed refinement allows for clear improvement of the
statistical predictions due to a correct prediction of the near-wall behavior. Cases of rotating and nonrotating low (DNS)
and high Reynolds (LES) numbers are then compared. It is shown that the principal structural features of the rotating turbulent
channel flow are reproduced by the LES, such as the presence of the near-zero mean absolute vorticity region, the modification
of the anisotropic character of the flow (with respect to the nonrotating case), the enhancement of flow organization, and
the inhibition of the high- and low-speed streaks near the anticyclonic wall. Only a moderate Reynolds number dependence is
exhibited, resulting in a more unstable character of the longitudinal large-scale roll cells at high Reynolds number, and
a slight increase of the laminarization tendency on the cyclonic side of the channel.
Received 16 October 1997 and accepted 1 October 1998 |
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