Skip to main content

A Study of Turbulence Modelling in Transonic Shock-Wave Boundary-Layer Interactions

  • Conference paper
Turbulent Shear Flows 6

Abstract

Since validation studies of turbulence models require a great number of comparisons with experimental data, solving the boundary-layer equations is an inexpensive numerical tool by which this validation can be performed. This approach has been used extensively to test six turbulence models applied to transonic shock-wave/boundary-layer interactions: the algebraic models of Michel, Quémard and Durant, of Alber, of Baldwin and Lomax and of Johnson and King, the [k, ε] transport equation model and the ASM.

On the whole, the algebraic models are disappointing, especially in interactions with extensive separation. Introducing a history effect by means of transport equations much improves the prediction of the wall pressure distribution and of the mean velocity profiles. On this point the ASM has the best performance. Deficiencies remain, though, in the computation of the turbulent quantities, as no model is capable of predicting correctly the slow relaxation of the turbulence downstream of the interaction zone.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Délery, J., Marvin, J. G.: “Shock-Wave/Boundary-Layer Interaction,” AGARDograph No. 280 (1986)

    Book  Google Scholar 

  2. Coakley, T. J., Viegas, J. R., Horstmann, E. C.: “Evaluation of Turbulence Models for Three Primary Types of Shock Separated Boundary-Layers.” AIAA Paper No. 77-92 (1977)

    Google Scholar 

  3. Vandromme, D., Ha Minh, H.: “Physical Analysis for Turbulent Boundary-Layer/Shock-Wave Interactions Using Second Order Closure Prediction,” in Proceedings of the IUTAM Symposium on Turbulent Shear-Layer/Shock-Wave Interactions (Springer, Berlin, Heidelberg 1986) pp. 127–136

    Chapter  Google Scholar 

  4. Escande, B., Cambier, L.: “Turbulence Modeling in Transonic Interactions,” in Proceedings of the IUTAM Symposium on Turbulent Shear-Layer/Shock-Wave Interactions (Springer, Berlin, Heidelberg 1986) pp. 39–51

    Chapter  Google Scholar 

  5. Meauzé, G., Délery, J.: “Calcul de l’interaction onde de choc — couche limite par emploi de méthodes inverses.” AGARD-CP No. 351 (1983)

    Google Scholar 

  6. Michel, R., Quémard, C., Durant, R.: “Application d’un schéma de longueur de mélange à l’étude des couches limites d’équilibre.” Note Technique ONERA No. 154 (1969)

    Google Scholar 

  7. Alber, I. E.: “Similar Solutions for a Family of Separated Turbulent Boundary-Layers.” AIAA Paper No. 71-203 (1969)

    Google Scholar 

  8. Cebeci, T., Smith, A. M. O.: The Analysis of Turbulent Boundary-Layers (Academic Press, New York 1974)

    Google Scholar 

  9. Baldwin, B. S., Lomax, J.: “Thin Layer Approximation and Algebraic Model for Separated Flows.” AIAA Paper No. 78-257 (1978)

    Google Scholar 

  10. Suganavan, A.: “Evaluation of Low Reynolds Number Turbulence Models for Attached and Separated Flows.” AIAA Paper No. 85-0375 (1985)

    Google Scholar 

  11. Délery, J.: Experimental investigation of turbulence properties in transonic shock-wave/boundary- layer interactions. AIAA J. 21/2, 180–185 (1983)

    Article  ADS  Google Scholar 

  12. Johnson, D. A., King, L. S.: A mathematically simple turbulence closure model for attached and separated boundary-layers. AIAA J. 23/11, 1684–1692 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  13. Jones, W. P., Launder, B. E.: The prediction of laminarization with a two equation model of turbulence. Int. J. Heat Mass Transf. 15/2, (1972)

    Google Scholar 

  14. Chieng, C. C., Launder, B. E.: On the calculation of turbulent heat transport downstream from an abrupt pipe expansion. Numer. Heat Transf. 3, 189–207 (1980)

    ADS  Google Scholar 

  15. Chien, K. Y.: Predictions of channel boundary-layer flows with a low Reynolds number turbulence model. AIAA J. 20/1, 33–38 (1982)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. Gorski, J. J.: “A Near-Wall Formulation for the [k, ε] Equations of Turbulence.” AIAA Paper No. 86-0556 (1986)

    Google Scholar 

  17. Launder, B. E.: “An Improved Algebraic Stress Model.” Engineering Department, Imperial College, Report TM/TN/A8 (1971)

    Google Scholar 

  18. Rodi, W.: “The Prediction of Free Boundary-Layers by Use of a Two-Equation Model of Turbulence.” Ph.D. Thesis, University of London (1972)

    Google Scholar 

  19. Cöet, M.-C., Benay, R.: “Application de l’approche couche limite à la validation de six modèles de turbulence dans des interactions onde de choc-couche limite transsoniques.” ONERA-RT No. 64/7078AN (1986)

    Google Scholar 

  20. Hussaini, M. Y., Collier, F., Bushnell, D. M.: “Turbulence Alteration Due to Shock Motion,” in Proceedings of the IUTAM Symposium on Turbulent Shear-Layer/Shock-Wave Interactions, (Springer, Berlin, Heidelberg 1986) pp. 371–381

    Chapter  Google Scholar 

  21. Debiève, J. F., Lacharme, J.-P.: “A Shock-Wave/Free Turbulence Interaction,” in Proceedings of the IUTAM Symposium on Turbulent Shear-Layer/Shock-Wave Interactions (Springer, Berlin, Heidelberg 1986) pp. 393–403

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Benay, R., Cöet, MC., Délery, J. (1989). A Study of Turbulence Modelling in Transonic Shock-Wave Boundary-Layer Interactions. In: André, JC., Cousteix, J., Durst, F., Launder, B.E., Schmidt, F.W., Whitelaw, J.H. (eds) Turbulent Shear Flows 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73948-4_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-73948-4_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-73950-7

  • Online ISBN: 978-3-642-73948-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics