Hybrid Simulation of High-Reynolds Number Flows Relying on a Variational Multiscale Model

  • Emmanuelle ItamEmail author
  • Stephen Wornom
  • Bruno Koobus
  • Alain Dervieux
Conference paper
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 137)


We are interested in the study and improvement of the LES component in hybrid RANS-LES formulations. These models are not designed for blunt-body flows with laminar boundary layers, but it is interesting to examine how they behave in that case. A DDES model is compared with a dynamic Variational multi-scale (DVMS) LES model for two subcritical flows past a cylinder. We then propose a hybridation restricting to DVMS in LES regions. The performances of the different options are compared for subcritical flows and for a flow around a tandem cylinder.



This work has been supported by French National Research Agency (ANR) through project MAIDESC n\(^o\) ANR-13-MONU-0010. HPC resources from GENCI-[CINES] (Grant 2010-x2010026386 and 2010-c2009025067) are also gratefully acknowledged.


  1. 1.
    Camarri, S., Koobus, B., Salvetti, M., Dervieux, A.: A low-diffusion MUSCL scheme for LES on unstructured grids. Comput. Fluids 33, 1101–1129 (2004)CrossRefzbMATHGoogle Scholar
  2. 2.
    D’Alessandro, V., Montelpare, S., Ricci, R.: Detached eddy simulations of the flow over a cylinder at Re = 3900 using openFOAM a low-diffusion MUSCL scheme for LES on unstructured grids. Comput. Fluids 136, 152–169 (2016)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Garbaruk, A., Shur M., S., M., Spalart, P.R., Balakrishnan, R.: DDES and IDDES of tandem cylinders. In: Proceedings of the Benchmark problems for Airframe Noise Computations BANC, vol. anl-10/26. Argonne National Laboratory (2010)Google Scholar
  4. 4.
    Germano, M., Piomelli, U., Moin, P., Cabot, W.: A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3(7), 1760–1765 (1991)CrossRefzbMATHGoogle Scholar
  5. 5.
    Goldberg, U., Peroomian, O., Chakravarthy, S.: A wall-distance-free \(k-\varepsilon \) model with enhanced near-wall treatment. J. Fluids Eng. 120, 457–462 (1998)CrossRefGoogle Scholar
  6. 6.
    Hughes, T., Mazzei, L., Jansen, K.: Large eddy simulation and the variational multiscale method. Comput. Vis. Sci. 3, 47–59 (2000)CrossRefzbMATHGoogle Scholar
  7. 7.
    Koobus, B., Farhat, C.: A variational multiscale method for the large eddy simulation of compressible turbulent flows on unstructured meshes-application to vortex shedding. Comput. Methods Appl. Mech. Eng. 193, 1367–1383 (2004)MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    Kravchenko, A., Moin, P.: Numerical studies of flow over a circular cylinder at re = 3900. Phys. Fluids 12(2), 403–417 (1999)Google Scholar
  9. 9.
    Lee, J., Park, N., Lee, S., Choi, H.: A dynamical subgrid-scale eddy viscosity model with a global model coefficient. Phys. Fluids 18(12) (2006)Google Scholar
  10. 10.
    Leer, B.V.: Towards the ultimate conservative scheme. iv : a new approach to numerical convection. J. Comp. Phys. 23, 276–299 (1977)Google Scholar
  11. 11.
    Lilly, D.: A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A4, 633 (1992)CrossRefGoogle Scholar
  12. 12.
    Lim, H., Lee, S.: Flow control of circular cylinders with longitudinal grooved surfaces. AIAA J. 40(10), 2027–2035 (2002)CrossRefGoogle Scholar
  13. 13.
    Lockard, D.: Summary of the tandem cylinder solutions from the benchmark problems for airframe noise computations-i. In: Proceedings of Workshop AIAA-2011–353 (2011)Google Scholar
  14. 14.
    Moussaed, C., Salvetti, M., Wornom, S., Koobus, B., Dervieux, A.: Simulation of the flow past a circular cylinder in the supercritical regime by blending RANS and variational-multiscale LES models. J. Fluids Struct. 47, 114–123 (2014)CrossRefGoogle Scholar
  15. 15.
    Moussaed, C., Wornom, S., Salvetti, M., Koobus, B., Dervieux, A.: Impact of dynamic subgrid-scale modeling in variational multiscale large-eddy simulation of bluff body flows. Acta Mech. 12, 3309–3323 (2014)MathSciNetCrossRefzbMATHGoogle Scholar
  16. 16.
    Neuhart, D., Jenkins, L., Choudhari, M., Khorrami, M.: Measurements of the flowfield interaction between tandem cylinders. AIAA Paper 2009–3275 (2009)Google Scholar
  17. 17.
    Nicoud, F., Ducros, F.: Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow Turbul. Combust. 62, 183–200 (1999)CrossRefzbMATHGoogle Scholar
  18. 18.
    Norberg, C.: Effects of Reynolds number and low-intensity free-sream turbulence on the flow around a circular cylinder. Publ. No. 87/2, Department of Applied Thermoscience and Fluid Mechanical, Chalmer University of Technology, Gothenburg, Sweden (1987)Google Scholar
  19. 19.
    Norberg, C.: Fluctuating lift on a circular cylinder: review and new measurements. J. Fluids Struct. 17, 57–96 (2003)CrossRefGoogle Scholar
  20. 20.
    Parneaudeau, P., Carlier, J., Heitz, D., Lamballais, E.: Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900. Phys. Fluids 20(085101) (2008)Google Scholar
  21. 21.
    Reddy, K., Ryon, J., Durbin, P.: A DDES model with a Smagorinsky-type eddy viscosity formulation and log-layer mismatch correction. Int. J. Heat Fluid Flow 50, 103–113 (2014)CrossRefGoogle Scholar
  22. 22.
    Roe, P.: Approximate Riemann solvers parameters vectors and difference schemes. J. Comp. Phys. 43, 357–372 (1981)MathSciNetCrossRefzbMATHGoogle Scholar
  23. 23.
    Spalart, P., Deck, S., Strelets, M., Shur, M., Travin, A., Squires, K.: A new version of detached-eddy simulation, resistant to ambiguous grid densities. Theor. Comput. Fluid Dyn. 20, 181–195 (2006)CrossRefzbMATHGoogle Scholar
  24. 24.
    Spalart, P., Jou, W.H., Strelets, M., Allmaras, S.: Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach. In: Liu, C., Liu, Z., (eds.) Advances in DNS/LES, 1st AFOESR International Conference on DNS/LES,(1997), Ruston, LA, pp. 137–147. Greyden Press, Columbus, OH (1997)Google Scholar
  25. 25.
    Travin, A., Shur, M., Strelets, M., Spalart, P.: Detached-eddy simulations past a circular cylinder. Flow Turbul. Combust. 63, 293–313 (1999)CrossRefzbMATHGoogle Scholar
  26. 26.
    Vatsa, V., Lockard, D.: Assessment of hybrid RANS/LES turbulence models for areoacoustics applications. AIAA Paper 2010–4001 (2010)Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Emmanuelle Itam
    • 1
    Email author
  • Stephen Wornom
    • 2
  • Bruno Koobus
    • 3
  • Alain Dervieux
    • 4
  1. 1.Institut Montpelliérain Alexander Grothendieck (IMAG)Université de MontpellierMontpellierFrance
  2. 2.LEMMASophia-AntipolisFrance
  3. 3.IMAG, Université de MontpellierMontpellierFrance
  4. 4.LEMMA and INRIASophia-AntipolisFrance

Personalised recommendations