Skip to main content

LES of the Flow Past a Circular Cylinder Using a Multiscale Discontinuous Galerkin Method

  • Conference paper
  • First Online:
Turbulence and Interactions (TI 2018 2018)

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 149))

Included in the following conference series:

  • 344 Accesses

Abstract

The variational multiscale (VMS) approach based on a modal discontinuous Galerkin (DG) method is used to perform LES of the sub-critical flow past a circular cylinder at Reynolds numbers \(20\,000\) and \(140\,000\), based on the cylinder diameter. The potential of using p-adaption in combination with DG-VMS is illustrated for the case at \(Re=140\,000\) by considering a non-uniform distribution of the polynomial degree based on a recently developed error estimation strategy [15].

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Institutional subscriptions

References

  1. Bassi, F., Botti, L., Colombo, A., Di Pietro, D.A., Tesini, P.: On the flexibility of agglomeration based physical space DG discretizations. J. Comput. Phys. 231(1) (2012)

    Google Scholar 

  2. Breuer, M.: A challenging test case for large-eddy-simulation: high Reynolds number circular cylinder flow. Int. J. Heat Fluid Flow 21(5) (2000)

    Google Scholar 

  3. Cantwell, B., Coles, D.: An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder. J. Fluid Mech. 136 (1983)

    Google Scholar 

  4. Chapelier, J.B., de la Llave Plata, M., Renac, F., Lamballais, E.: Evaluation of a high-order discontinuous Galerkin method for the DNS of turbulent flows. Comput. Fluids 95 (2014)

    Google Scholar 

  5. Chapelier, J.B., de la Llave Plata, M., Lamballais, E.: Development of a multiscale LES model in the context of a modal DG method. Comput. Methods Appl. Mech. Eng. 307 (2016)

    Google Scholar 

  6. de la Llave Plata, M., Couaillier, V., Le Pape, M.C.: On the use of a high-order discontinuous Galerkin method for DNS and LES of wall-bounded turbulence. Comput. Fluids 176 (2018)

    Google Scholar 

  7. Gottlieb, D., Orszag, S.A.: Numerical Analysis of Spectral Methods: Theory and Applications. SIAM (1977)

    Google Scholar 

  8. Hartmann, R., Houston, P.: An optimal order interior penalty DG discretization of the compressible Navier-Stokes equations. J. Comput. Phys. 227(22) (2008)

    Google Scholar 

  9. Fröhlich, J., Rodi, W., Bertoglio, J.P., Bieder, U., Touil, H.: LES of flow around circular cylinders on structured and unstructured grids, II. In: Hirschel, E.H. (eds.) Numerical Flow Simulation II. Notes on Numerical Fluid Mechanics, vol. 75. Springer (2001)

    Google Scholar 

  10. Karabelas, S.J.: LES of high-Reynolds number flow past a rotating cylinder. Int. J. Heat Fluid Flow 31(4) (2010)

    Google Scholar 

  11. Lesieur, M., Métais, O., Comte, P.: Large-Eddy Simulation of Turbulence. Cambridge University Press, Cambridge (2005)

    Book  Google Scholar 

  12. Lim, H.C., Lee, S.J.: Flow control of circular cylinders with longitudinal grooved surfaces. AIAA J. 40(10) (2002)

    Google Scholar 

  13. Lysenko, D.A., Ertesvåg, I.S., Rian, K.E.: LES of the flow over a circular cylinder at Reynolds number \(2\times 10^4\). Flow Turbul. Combust. 92(3) (2014)

    Google Scholar 

  14. Moussaed, C., Wornom, S., Salvetti, M.-S., Koobus, B., Dervieux, A.: Impact of dynamic subgrid-scale modeling in variational multiscale large-eddy simulation of bluff-body flows. Acta Mech. 225(12) (2014)

    Google Scholar 

  15. Naddei, F., de la Llave Plata, M., Couaillier, V.: A comparison of refinement indicators for p-adaptive simulations of steady and unsteady flows using DG methods. J. Comput. Phys. 376 (2019)

    Google Scholar 

  16. Norberg, C.: Fluctuating lift on a circular cylinder: review and new measurements. J. Fluids Struct. 17 (2003)

    Google Scholar 

  17. Parnaudeau, 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(8) (2008)

    Google Scholar 

  18. Renac, F., de la Llave Plata, M., Martin, E., Chapelier, J.-B., Couaillier, C.: Aghora: a high-order DG solver for turbulent flow simulations. In: Kroll, et al. (eds.) IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 128. Springer (2015)

    Google Scholar 

  19. Salvatici, E., Salvetti, M.V.: Large-eddy simulations of the flow around a circular cylinder: effects of grid resolution and subgrid scale modeling. Wind Struct. 6(6) (2003)

    Google Scholar 

  20. Son, J., Hanratty, T.: Velocity gradients at the wall for flow around a cylinder at Reynolds numbers from \(5\times 10^3\) to \(10^5\). J. Fluid Mech. 35 (1969)

    Google Scholar 

Download references

Acknowledgements

This research has been partly funded by the European Union’s Horizon 2020 TILDA project (grant agreement number 635962). This work was performed using HPC resources from GENCI (Grants A0022A10129 and A0032A10309).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marta de la Llave Plata .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

de la Llave Plata, M., Naddei, F., Couaillier, V. (2021). LES of the Flow Past a Circular Cylinder Using a Multiscale Discontinuous Galerkin Method. In: Deville, M., et al. Turbulence and Interactions. TI 2018 2018. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-030-65820-5_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-65820-5_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-65819-9

  • Online ISBN: 978-3-030-65820-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics