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July 6, 19932,788 citations

Zonal Two Equation k-w Turbulence Models For Aerodynamic Flows

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FMF. Menter

Key Points

  • This research introduces two new versions of the k-w turbulence model to improve prediction accuracy in aerodynamic flows while reducing dependency on arbitrary freestream values.
  • Developed the Baseline (BSL) model that transitions from the original k-w model to a standard k-f formulation in boundary layers.
  • Introduced the Shear-Stress Transport (SST) model to account for turbulent shear stress in adverse pressure gradient boundaries.
  • Validated both models against a variety of flowfields to assess performance.
  • BSL model shows similar predictions to the original k-w model but eliminates unnecessary freestream dependency.
  • SST model maintains independence from freestream values and achieves better accuracy with experimental data for adverse pressure gradient flows.

Abstract

Two new versions of the k - w two-equation turbulence model will be presented. The new Baseline (BSL) model is designed to give results similar to those of the original k - w model of Wilcox. but without its strong dependency on arbitrary freestream values. The BSL model is identical to the Wilcox model in the inner SOC7£; of the boundary-layer but changes gradually to the standard k - f. model (in a k - w fonnulation) towards the boundary-layer edge. The new model is also virtually identical to the k - f. model for free shear layers. The second version of the model is called Shear-Stress Transport (SSn model. It is a variation of the BSL model with the additional ability to account for the transport of the principal turbulent shear stress in adverse pressure gradient boundary-layers. The model is based on Bradshaw's assumption that the principal shear-stress is pro­ portional to the turbulent kinetic energy, which is introduced into the definition of the eddy-viscosity. Both models are tested for a large number of different fiowfields. The results of the BSL model are similar to those of the original k - w model, but without the undesirable free stream dependency. The predictions of the SST model are also independent of the freestrearn values but show better agreement with exper­ imental data for adverse pressure gradient boundary-layer flows.

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Cite This Study

F. Menter (1993) studied this question.

synapsesocial.com/papers/69430d5afe81bcbc98009928https://doi.org/10.2514/6.1993-2906
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