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Numerical Investigation of the Robustness of an Axisymmetric Separating/Reattaching Flow to an External Perturbation Using ZDES

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Abstract

The present article focuses on the influence of an external perturbation on the dynamics and the topology of an axisymmetric separating/reattaching flow for a Mach number equal to 0.7. Zonal Detached Eddy Simulation (ZDES) is used to reproduce the flow dynamics downstream an axisymmetric backward facing step with and without a surrounding mixing layer. The instantaneous flowfield shows the influence of the outer shear layer whose structures interact with the separated flow of interest. The instantaneous flowfield depicts the scales of the two axisymmetric mixing layers. Then, the statistical properties of the flow illustrate an excellent agreement between the experiments (PIV and LDV) and the numerical simulation (ZDES). The second-order moment of the pressure coefficient unveils the very high fluctuation levels of the perturbed case compared to the unperturbed one. The analysis of the spectral content reveals a remarkable alteration of the spatial organization for the fluctuating pressure field at the wall and the normal velocity component fluctuations in the afterbody shear layer. Finally, the impact of the perturbation on the energy distribution of the afterbody unsteady side-loads is evidenced by single-point power spectral densities.

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References

  1. Chauvet, N., Deck, S., Jacquin, L.: Zonal detached eddy simulation of a controlled propulsive jet. AIAA J. 45(10), 2458–2473 (2007)

    Article  Google Scholar 

  2. Deck, S., Nguyen, A.T.: Unsteady side-loads in a thrust-optimized contour nozzle at hysteresis regime. AIAA J. 42(9), 1878–1888 (2004)

    Article  Google Scholar 

  3. Deck, S.: Numerical simulation of transonic buffet over a supercritical airfoil. AIAA J. 43(7), 1556–1566 (2005)

    Article  Google Scholar 

  4. Deck, S.: Recent improvements in the Zonal Detached Eddy Simulation (ZDES) formulation. Theor. Comput. Fluid Dyn. 26(6), 523–550 (2012)

    Article  Google Scholar 

  5. Deck, S., Guillen, P.: Numerical simulation of side loads in an ideal truncated nozzle. J. Propuls. Power 18(2), 261–269 (2002)

    Article  Google Scholar 

  6. Deck, S., Thorigny, P.: Unsteadiness of an axisymmetric separating-reattaching flow. Phys. Fluids 19(065103), 1–20 (2007)

    Google Scholar 

  7. Deprés, D., Reijasse, P., Dussauge, J.-P.: Analysis of unsteadiness in afterbody transonic flows. AIAA J. 42(12), 2541–2550 (2004)

    Article  Google Scholar 

  8. Drikakis, D., Hahn, M., Mosedale, A., Thornber, B.: Large eddy simulation using high-resolution and high-order methods. Phil. Trans. R. Soc. A 367, 2985–2997 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  9. Girard, S., Jordan, P., Delville, J., Fourment, C., Royer, A., Kerherv, F., Braud, P., Laurent, P., Huet, P.: Étude expérimentale des instabilités aérodynamiques des écoulements de culot. Mesures couplées pression-vitesse. Final LEA report, Convention ONERA no F/11706/DA. LROC (2009)

  10. Devenport, W.J., Sutton, E.P.: Near-wall behavior of separated and reattaching flows. AIAA J. 29, 25 (1991)

    Article  Google Scholar 

  11. Guillen, P., Dormieux, M.: Design of a 3D multi-domain Euler code. In: International Seminar of Supercomputing, Boston, USA (1989)

  12. Huerre, P., Rossi, M.: Hydrodynamics instabilities in open flows. In: Godrèche, C., Manneville, P. (eds.) Hydrodynamics and Nonlinear Instabilities. Cambridge University Press, Cambridge (1998)

    Google Scholar 

  13. Hussain, A.K.M.F., Reynolds, W.C.: The mechanics of an organized wave in turbulent shear flow. J. Fluid Mech. 41, 241 (1970)

    Article  Google Scholar 

  14. Hussain, A.K.M.F., Reynolds, W.C.: The mechanics of an organized wave in turbulent shear flow. Part 2. Experimental results. J. Fluid Mech. 54, 241 (1972)

    Article  Google Scholar 

  15. Lê, T.H.H.: Étude expérimentale du couplage entre l’écoulement transsonique d’arrière-corps et les charges latérales dans les tuyères propulsives. PhD Thesis, Universitat de Poitiers, France (2005)

  16. Lê, T.H.H., Girard, S., Alziary de Roquefort, T.: Direct measurement of side loads with transonic buffeting. In: Proceedings of the 5th European Symposium on Aerothermodynamics for Space Vehicles (ESA SP-563), 8–11 November, Cologne, Germany, pp. 347–352 (2004)

  17. Lee, I., Sung, H.J.: Characteristics of wall pressure fluctuations in separated and reattaching flows over a backward facing step. Part I: time-mean statistics and cross-spectral analyses. Exp. Fluids 30, 262 (2001)

    Article  Google Scholar 

  18. Mabey, D.G.: Pressure fluctuations caused by separated bubble flows at subsonic speeds. Royal Aircraft Establishment Technical Report, No. RAE-TR-71160 (1971)

  19. Meyers, J., Meneveau, C., Geurts, B.J.: Error-landscape-based multi-objective calibration of the Smagorinsky eddy-viscosity using high-Reynolds-number decaying turbulence data. Phys. Fluids 22(125106), 1–14 (2010)

    Google Scholar 

  20. Reynolds, W.C., Hussain, A.K.M.F.: The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparisons with experiments. J. Fluid Mech. 54, 263 (1972)

    Article  Google Scholar 

  21. Roshko, A.: On the wake and drag of bluff bodies. J. Aeronaut. Sci. 22, 124 (1955)

    Article  MATH  Google Scholar 

  22. Sandberg, R.D., Fasel, H.F.: Numerical investigation of transitional supersonic axisymmetric wakes. J. Fluid Mech. 563, 1 (2006)

    Article  MATH  Google Scholar 

  23. Simon, F., Deck, S., Guillen, P., Sagaut, P., Merlen, A.: Numerical simulation of the compressible mixing layer past an axisymmetric trailing edge. J. Fluid Mech. 591, 215–253 (2007)

    Article  MATH  Google Scholar 

  24. Simon, F., Deck, S., Guillen, P., Sagaut, P.: Reynolds averaged Navier stokes/large eddy simulations of supersonic base flow. AIAA J. 44(11), 2578–2590 (2006)

    Article  Google Scholar 

  25. Shur, M.L., Spalart, P., Strelets, M.K., Travin, A.K.: A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities. Int. J. Heat Fluid Fl. 29, 1638–1649 (2008)

    Article  Google Scholar 

  26. Spalart, P.R., Deck, S., Shur, M.L., Squires, K.D., Strelets, M., Travin, A.: A new version of detached-eddy simulation, resistant to ambiguous grid densities. Theor. Comput. Fluid Dyn. 20, 181–195 (2006)

    Article  MATH  Google Scholar 

  27. Spazzini, P.G., Iuso, G., Onorato, M., Zurlo, N., Di Cicca, G.M.: Unsteady behavior of back-facing flow. Exp. Fluids 30, 551 (2001)

    Article  Google Scholar 

  28. Tihon, J., Legrand, J., Legentilhomme, P.: Near-wall investigation of backward facing step flows. Exp. Fluids 31, 484 (2001)

    Article  Google Scholar 

  29. Wee, D., Yi, T., Annaswamy, A., Ghoniem, A.F.: Self-sustained oscillations and vortex shedding in backward-facing step flows: simulation and linear instability analysis. Phys. Fluids 16, 3361 (2004)

    Article  Google Scholar 

  30. Weiss, P.-E., Deck, S., Robinet, J.-C., Sagaut, P.: On the dynamics of axisymmetric turbulent separating/reattaching flows. Phys. Fluids 21(075103), 1–8 (2009)

    Google Scholar 

  31. Weiss, P.-E., Deck, S.: Control of the antisymmetric mode (m = 1) for high Reynolds axisymmetric turbulent separating/reattaching flows. Phys. Fluids 23(095102), 1–19 (2011)

    Google Scholar 

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  1. ONERA—The French Aerospace Lab, 92190, Meudon, France

    P. E. Weiss & S. Deck

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  1. P. E. Weiss
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  2. S. Deck
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Correspondence to P. E. Weiss.

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Submitted for FTC Special Issue ETMM9.

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Weiss, P.E., Deck, S. Numerical Investigation of the Robustness of an Axisymmetric Separating/Reattaching Flow to an External Perturbation Using ZDES. Flow Turbulence Combust 91, 697–715 (2013). https://doi.org/10.1007/s10494-013-9484-6

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