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.
Similar content being viewed by others
References
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).
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).
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).
T. J. Coakley,Turbulent modeling methods for the compressible Navier-Stokes equation. AIAA Paper, 83-1693 (1983).
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.
K. Srinivas and C. A. J. Fletcher,Finite element solutions for laminar and turbulent compressible flow. Int. J. Num. Meth. Fluids4, 421–439 (1984).
K. Srinivas and C. A. J. Fletcher,Eddy viscosity models for wakes and separated flows. AIAA J.22, 147–148 (1984).
C. A. J. Fletcher,The Group Finite Element Formulation. Comp. Meth. Appl. Mech. Eng'g.37, 225–243 (1983).
T. Cebeci and A. M. O. Smith,Analysis of Turbulent Boundary Layers. Academic Press, New York 1974.
D. H. Rudy and J. C. Strikwerda,Boundary Conditions for Subsonic, Compressible Navier-Stokes Calculations. Computers Fluids9, 327–338 (1981).
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).
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).
Author information
Authors and Affiliations
Rights 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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00955518