Summary
The Stress-ω differential Reynolds stress model with the ω-equations of Wilcox, Kok and Menter and the SSG/LRR-ω, being always linked to the Menter ω-equation, have been applied to the transonic flow around the RAE 2822 airfoil and the ONERA M6 wing. Comparison with the Wilcox k – ω model shows the influence of replacing the k-equation and the Boussinesq hypothesis by the modeled Reynolds stress transport equation. Particularly for the M6 wing differential Reynolds stress models appear to be generally superior. Nevertheless the comparison between the different model variants reveals, that details of the length scale equation can have a larger influence than details of the re-distribution term modeling.
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Eisfeld, B. (2010). The Influence of the Length Scale Equation on the Simulation Results of Aerodynamic Flows Using Differential Reynolds Stress Models. In: Dillmann, A., Heller, G., Klaas, M., Kreplin, HP., Nitsche, W., Schröder, W. (eds) New Results in Numerical and Experimental Fluid Mechanics VII. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14243-7_11
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