Log in

Computation of turbulent asymmetric trailing-edge flows

  • Original Papers
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract

Turbulent compressible flow past an asymmetric trailing edge has been computed using the generalised-coordinate time-split group finite-element method and a lagged algebraic eddy viscosity turbulence model. The test case considered is that of a flow at a nominal Mach number of 0.4 and a Reynolds number of 26.2×106. Mean velocity profiles and the displacement thickness distribution are in good agreement with the experimental results. The pressure and surface shear stress indicate reasonable agreement with the experimental results, except near the shoulder on the upper surface.

Zusammenfassung

Die Methode der finiten Elemente in verallgemeinerten Koordinaten mit „time-split“ wird benützt, um die kompressible Strömung an einer unsymmetrischen Hinterkante zu berechnen. Das Turbulenz-Modell benützt eine zeitverzögerte algebraische turbulente Zähigkeit. Der Testfall ist eine Strömung mit der nominellen Machzahl 0.4 und der Reynoldszahl 26.2×106. Mittlere Geschwindigkeitsprofile und die Verteilung der Verdrängungsdicke stimmen mit den experimentellen Resultaten gut überein. Der Druck und die Wandschubspannung zeigen eine vernünftige Übereinstimmung mit den experimentellen Werten, mit Ausnahme der Umgebung der „Schulter“ auf der Oberseite.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. Srinivas and C. A. J. Fletcher,A three-level generalised-coordinate group finite-element method for compressible viscous flow. Int. J. Num. Meth. Fluids5, 463–481 (1985).

    Google Scholar 

  2. P. R. Viswanath, J. W. Cleary, H. L. Seegmiller and C. C. Horstman,Trailing-edge flows at high Reynolds number. AIAA J18, 1059–1065 (1980).

    Google Scholar 

  3. J. W. Cleary, P. R. Viswanath, C. C. Horstman and H. L. Seegmiller,Asymmetric trailing-edge flows at high Reynolds number. AIAA Paper, 80-1396 (1980).

  4. T. J. Coakley,Turbulent modeling methods for the compressible Navier-Stokes equation. AIAA Paper, 83-1693 (1983).

  5. C. C. Horstman,Numerical simulation of turbulent trailing-edge flows. 2nd Symp. on Numerical and Physical Aspects of Aerodynamics Flows, Long Beach, Ca, Jan. 1983.

  6. K. Srinivas and C. A. J. Fletcher,Finite element solutions for laminar and turbulent compressible flow. Int. J. Num. Meth. Fluids4, 421–439 (1984).

    Google Scholar 

  7. K. Srinivas and C. A. J. Fletcher,Eddy viscosity models for wakes and separated flows. AIAA J.22, 147–148 (1984).

    Google Scholar 

  8. C. A. J. Fletcher,The Group Finite Element Formulation. Comp. Meth. Appl. Mech. Eng'g.37, 225–243 (1983).

    Google Scholar 

  9. T. Cebeci and A. M. O. Smith,Analysis of Turbulent Boundary Layers. Academic Press, New York 1974.

    Google Scholar 

  10. D. H. Rudy and J. C. Strikwerda,Boundary Conditions for Subsonic, Compressible Navier-Stokes Calculations. Computers Fluids9, 327–338 (1981).

    Google Scholar 

  11. C. A. J. Fletcher,A Comparison of Finite Element and Finite Difference Solutions of One and Two-Dimensional Burgers' Equations. J. Comput. Phys.51, 159–188 (1983).

    Google Scholar 

  12. C. A. J. Fletcher and K. Srinivas,On the Role of Mass Operators in the Group Finite Element Formulation. Comp. Meth. Appl. Mech. Eng'g.46, 313–327 (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Srinivas, K., Fletcher, C.A.J. Computation of turbulent asymmetric trailing-edge flows. Z. angew. Math. Phys. 37, 53–63 (1986). https://doi.org/10.1007/BF00955518

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00955518

Keywords

Navigation