Skip to main content

Assessment of Delayed Detached-Eddy Simulation of Dynamic Stall on a Rotor

  • Conference paper
  • First Online:

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 143))

Abstract

High-fidelity unsteady Reynolds–averaged Navier–Stokes (URANS) and Menter-SST delayed detached-eddy simulations (DDES) of dynamic stall on a rotor with cyclic pitch control are presented and compared to experimental surface pressures and particle-image-velocimetry (PIV) data. Before the dynamic-stall event, the DDES suffers from modeled-stress depletion (MSD) leading to grid-induced separation (GIS) due to a breakdown of the boundary-layer shielding function \(f_d\). Combined with the “grey-area” problem, this leads to severe erroneous load peaks. After dynamic stall, flow is completely separated and only DDES shows realistic small-scale, incoherent vortical structures. Two approaches are investigated to eliminate MSD/GIS: Firstly, increasing the empirical constant \(C_{d1}\) of the \(f_d\) function to 30 basically eliminates GIS. Secondly, a non-local, grid-independent vorticity-integrated algebraic DES, which replaces the \(f_d\) function, is introduced that provides robust boundary-layer shielding and enables the LES mode in case of massive flow separation.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Ashton, N.: Recalibrating detached-eddy simulation to eliminate modelled-stress depletion. In: Proceedings of the 23rd AIAA Computational Fluid Dynamics Conference, 2017, p. 4281 (2017)

    Google Scholar 

  2. Gritskevich, M.S., Garbaruk, A.V., Menter, F.R.: Fine-tuning of DDES and IDDES formulations to the k-\(\omega \) shear stress transport model. Prog. Flight Phys. 5, 23–42 (2013)

    Google Scholar 

  3. Jain, N., Lee, B., Baeder, J.D.: Assessment of shielding parameters in conventional DDES method under the presence of alternative turbulence length scales. In: Proceedings of the 23rd AIAA Computational Fluid Dynamics Conference, 2017, p. 4282 (2017)

    Google Scholar 

  4. Jameson, A., Schmidt, W., Turkel, E.: Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes. In: 14th fluid and plasma dynamics conference, p. 1259 (1981)

    Google Scholar 

  5. Leishman, J.G.: Principles of Helicopter Aerodynamics, 2nd edn, Cambridge University Press, Cambridge (2006)

    Google Scholar 

  6. Letzgus, J., Gardner, A.D., Schwermer, T., Keßler, M., Krämer, E.: Numerical investigations of dynamic stall on a rotor with cyclic pitch control. J. Am. Helicopter Soc. 64(1), 1–14 (2019). https://doi.org/10.4050/JAHS.64.012007

  7. Menter, F.: Stress-blended eddy simulation (SBES)–a new paradigm in hybrid RANS-LES modeling. Progress in Hybrid RANS-LES Modelling, pp. 27–37. Springer International Publishing, Cham (2018)

    Chapter  Google Scholar 

  8. Menter, F.R., Kuntz, M., Langtry, R.: Ten years of industrial experience with the SST turbulence model. Turbul. Heat Mass Transf. 4(1), 625–632 (2003)

    Google Scholar 

  9. Mockett, C., Haase, W., Schwamborn, D.: Go4Hybrid: Grey Area Mitigation for Hybrid RANS-LES Methods: Results of the 7th Framework Research Project Go4Hybrid, Funded by the European Union, 2013–2015, vol. 134. Springer, Berlin (2017)

    Google Scholar 

  10. Probst, A., Radespiel, R., Wolf, C., Knopp, T., Schwamborn, D.: A comparison of detached-eddy simulation and Reynolds-stress modelling applied to the flow over a backward-facing step and an airfoil at stall. In: Proceedings of the 48th AIAA Aerospace Sciences Meeting, 2010, p. 0920 (2010)

    Google Scholar 

  11. Probst, A., Radespiel, R., Knopp, T.: Detached-eddy simulation of aerodynamic flows using a Reynolds-stress background model and algebraic RANS/LES sensors. In: 20th AIAA computational fluid dynamics conference, p. 3206 (2011)

    Google Scholar 

  12. Raddatz, J., Fassbender, J.K.: Block structured Navier-Stokes solver FLOWer. In: MEGAFLOW-Numerical Flow Simulation for Aircraft Design, vol. 89, pp. 27–44. Springer, Berlin (2005)

    Google Scholar 

  13. Schwermer, T., Richter, K., Raffel, M.: Development of a rotor test facility for the investigation of dynamic stall. In: New Results in Numerical and Experimental Fluid Mechanics X, pp. 663–673. Springer, Berlin (2016)

    Google Scholar 

  14. Schwermer, T., Gardner, A.D., Raffel, M.: A novel experiment to understand the dynamic stall phenomenon in rotor axial flight. J. Am. Helicopter Soc. 64(1), 1–11 (2019). https://doi.org/10.4050/JAHS.64.012004

  15. Shur, M.L., Spalart, P.R., Strelets, M.K., Travin, A.K.: A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities. Int. J. Heat Fluid Flow 29(6), 1638–1649 (2008)

    Article  Google Scholar 

  16. Spalart, P.R., Strelets, M.K.: Mechanisms of transition and heat transfer in a separation bubble. J. Fluid Mech. 403, 329–349 (2000)

    Article  Google Scholar 

  17. Spalart, P.R., Deck, S., Shur, M.L., Squires, K.D., Strelets, M.K., Travin, A.: A new version of detached-eddy simulation, resistant to ambiguous grid densities. Theor. Comput. Fluid Dyn. 20(3), 181–195 (2006)

    Article  Google Scholar 

  18. Vatsa, V.N., Lockard, D.P., Spalart, P.R.: Grid sensitivity of SA-based delayed-detached-eddy-simulation model for blunt-body flows. AIAA J. 55(8), 2842–2847 (2017)

    Article  Google Scholar 

  19. Weihing, P., Letzgus, J., Bangga, G., Lutz, T., Krämer, E.: Hybrid RANS/LES capabilities of the flow solver FLOWer–application to flow around wind turbines. In: Hoarau, Y., Peng, S.H., Schwamborn, D., Revell, A. (eds.) Progress in Hybrid RANS-LES Modelling, pp. 369–380. Springer International Publishing, Cham (2018)

    Google Scholar 

  20. Weihing, P., Letzgus, J., Lutz, T., Krämer, E.: Development of alternative shielding functions for detached-eddy simulations. In: 7th Symposium on Hybrid RANS-LES Methods (2018)

    Google Scholar 

Download references

Acknowledgements

This work was funded by DFG grant Untersuchung der dreidimensionalen dynamischen Strömungsablösung an Rotorblättern (investigation of three-dimensional dynamic stall on rotor blades). Computing resources were provided by the High Performance Computing Centre Stuttgart (HLRS) under project HELISIM.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Johannes Letzgus .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Letzgus, J., Weihing, P., Keßler, M., Krämer, E. (2020). Assessment of Delayed Detached-Eddy Simulation of Dynamic Stall on a Rotor. In: Hoarau, Y., Peng, SH., Schwamborn, D., Revell, A., Mockett, C. (eds) Progress in Hybrid RANS-LES Modelling . Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 143. Springer, Cham. https://doi.org/10.1007/978-3-030-27607-2_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-27607-2_25

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-27606-5

  • Online ISBN: 978-3-030-27607-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics