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Velocity/Pressure-Gradient Correlation Modelling for Improved Prediction of Reattachment and Relaxation

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Progress in Turbulence and Wind Energy IV

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 141))

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Abstract

The computation of complex flows with large separation is one of the numerous instances where second-moment closures outperform two-equations models. Previous studies with the Reynolds-stress model developed by Gerolymos-Vallet [3] (GV RSM) indicate that separation is quite accurately predicted, but also that there is room for improvement in the reattachment and relaxation region. Extensive testing suggests that the modelling of the pressure terms in the Reynolds-stress transport equations has the greatest impact on the prediction of both separation and reattachment. We propose a second-moment closure including a pressure-velocity gradient model with an additional term in the basis of the slow-part redistribution tensor proposed by Lumley [7] and a closure for the pressure-diffusion tensor which model directly the divergence of the pressure-velocity correlation. The present Reynolds-stress model is validated against a shock-wave/turbulent-boundary-layer interaction on a compression ramp and compared with two second-moment closures and the linear two-equations model of Launder-Sharma [5] (LS k – ε). ).

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References

  1. Ardonceau, P.L.: The structure of turbulence in a supersonic shock-wave/boundary-layer interaction. AIAA J. 22(9), 1254–1262 (1984)

    Article  Google Scholar 

  2. Gerolymos, G.A., Sénéchal, D., Vallet, I.: Performance of very-high-order upwind schemes for dns of compressible wall-turbulence. Int. J. Num. Meth. Fluids 63, 769–810 (2010)

    MATH  Google Scholar 

  3. Gerolymos, G.A., Vallet, I.: Wall-normal-free near-wall Reynolds-stress closure for 3-D compressible separated flows. AIAA J. 39(10), 1833–1842 (2001)

    Article  Google Scholar 

  4. Gerolymos, G.A., Vallet, I.: Mean-flow-multigrid for implicit Reynolds-stress-model computations. AIAA J. 43(9), 1887–1898 (2005)

    Article  Google Scholar 

  5. Launder, B.E., Sharma, B.I.: Application of the energy dissipation model of turbulence to the calculation of flows near a spinning disk. Lett. Heat Mass Transf. 1, 131–138 (1974)

    Article  Google Scholar 

  6. Launder, B.E., Shima, N.: 2-moment closure for the near-wall sublayer: Development and application. AIAA J. 27(10), 1319–1325 (1989)

    Article  Google Scholar 

  7. Lumley, J.L.: Computational modeling of turbulent flows. Adv. Appl. Mech. 18, 123–176 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  8. Sauret, E., Vallet, I.: Near-wall turbulent pressure diffusion modelling and influence in 3-D secondary flows. ASME J. Fluids Eng. 129(5), 634–642 (2007)

    Article  Google Scholar 

  9. Vallet, I.: Reynolds-stress modelling of 3-D secondary flows with emphasis on turbulent diffusion closure. ASME J. Appl. Mech. 74(6), 1142–1156 (2007)

    Article  Google Scholar 

  10. Vallet, I.: Reynolds-stress modelling of M = 2.25 shock-wave/turbulent-boundary-layer interaction. Int. J. Num. Meth. Fluids 56(5), 525–555 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  11. Yakinthos, K., Vlahostergios, Z., Goulas, A.: Modeling the flow in a 90° rectangular duct using one Reynolds-stress and two eddy-viscosity models. Int. J. of Heat and Fluid Flow 29, 35–47 (2008)

    Article  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Lo, C., Vallet, I., Younis, B.A. (2012). Velocity/Pressure-Gradient Correlation Modelling for Improved Prediction of Reattachment and Relaxation. In: Oberlack, M., Peinke, J., Talamelli, A., Castillo, L., Hölling, M. (eds) Progress in Turbulence and Wind Energy IV. Springer Proceedings in Physics, vol 141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28968-2_3

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