Summary
Two different solution schemes are applied for the LES of compressible turbulent flows. First, a conservative LES formulation is applied with the filtered structure-function model. Solutions for a compressible channel flow at M0 = 1 are in overall agreement with DNS references. The quasi-incompressible transitional boundary layers show the establishment of a streak system well upstream of the peak of skin friction. For harmonic and subharmonic perturbations, however, a different first location of high speed regions is observed. The second method is a mixed central-upwind scheme. The results for the case of a fully turbulent boundary layer are in good agreement with reference data from other authors. The simulation of the wake with trailing edge blowing shows that the jet inhibits the generation of the regular vortex shedding. Instead only smaller and weaker spanwise vortices are generated, rapidly decaying through the interaction with streamwise vortices. Thus, the mixing in the wake with the external flow is reduced and the losses become smaller compared to the case without blowing.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. I. Barenblatt. Scaling laws for fully developed turbulent shear flows. Part 1. basic hypothesis and analysis. J. Fluid Mech., 248:513–520, 1993.
G. I. Barenblatt and V. M. Prostokishin. Scaling laws for fully developed turbulent shear flows. Part 2. Processing of experimental data. J. Fluid Mech., 248:521–529, 1993.
G. N. Coleman, J. Kim, and R. D. Moser. A numerical study of turbulent supersonic isothermal-wall channel flow. J. Fluid Mech., 305:159–183, 1995.
P. Comte. Dynamics of coherent vortices in large-eddy simulation. In B. J. Geurts, R. Friedrich, and O. Métais, editors, Direct and Large-Eddy Simulations 4, pages 471–480, 2001.
F. Ducros, P. Comte, and M. Lesieur. Large eddy simulation of transition to turbulence in a boundary layer developing over a flat plate. J. Fluid Mech., 326:1–36, 1996.
G. Erlebacher and S. Sarkar. Statistical analysis of the rate of strain tensor in compressible homogeneous turbulence. ICASE Rep., 92–18, Apr. 1992. NASA CR 189640.
V. M. Falkner. The resistance of a smooth flat plate with turbulent boundary layer. Aircraft Eng., 15:65–68, 1943.
D. Gottlieb and E. Turkel. Dissipative two-four methods for time-dependent problems. Math. Comput., 30(136):703–723, Oct. 1976.
T. Herbert. Secondary instability of boundary layers. Ann. Rev. Fluid. Mech., 20(487–526), 1988.
T. Herbert and F. P. Bertolotti. Analysis of the linear stability of compressible boundary layer using PSE. Theoret. Comp. Fluid Dyn., 3(117–124), 1991.
J. C. R. Hunt, A. Wray, and P. Moin. Eddies, stream, and convergence zones in turbulent flows. Center For Turbulence Research, 1988.
J. Jeong and F. Hussain. On the identification of a vortex. J. Fluid Mech., 285:69–94, 1995.
C. Kapteijn, J. Amecke, and V. Michelassi. Aerodynamic performance of a transonic turbine guide vane with trailing edge coolant ejection: Part 1 — Experimental approach. Journal of Turbomachinery, 118:519–528, July 1996.
J. Kim, P. Moin, and R. Moser. Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech., 177:133–166, 1987.
P. S. Klebanoff, K. D. Tidstrom, and L. M. Sargent. The three dimensional nature of boundary layer instability. J. Fluid Mech., 12:1–34, 1962.
M. Lesieur and P. Comte. Favre filtering and macro-temperature in large-eddy simulation of compressible turbulence. C. R. Acad. Sci. Paris, 2001.
M. Lesieur and O. Metais. New trends in luge-eddy simulations of turbulence. Ann. Rev. Fluid. Mech., 28:45–82, 1996.
T. S. Lund, X. Wu, and D. Squires. Generation of turbulent inflow data for spatially-developing boundary layer simulations. J. Comput. Phys., 140:233– 258, 1998.
M. Meinke, W. Schröder, E. Krause, and T. Rister. A comparison of secondand sixth-order methods for large-eddy simulations. Computers and Fluids, 2001, accepted for publication.
P. Moin, K. Squires, W. Cabot, and S. Lee. A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys. Fluids, A 3(11):2746–2757, Nov. 1991.
M. Opiela, M. Meinke, W. Schröder, P. Comte, and E. Briand. LES of turbulent boundary layers and wakes. In E. H. Hirschel, editor, CNRS-DFG Collaborative Research Programme, Notes on Numerical Fluid Mechanics. Vieweg Verlag, Braunschweig, 2000.
T. J. Poinsot and S. K. Lele. Boundary conditions for direct simulations of compressible viscous flows. J. Comput. Phys., 101:104–129, 1992.
J. S. R. Lechner and R. Friedrich. Turbulent supersonic channel flow. J. of Turbulence, 2, 2001.
K. S. Robinson. The kinematics of turbulent boundary layer structure. Report 103859, NASA, 1991.
M. T. Schobeiri and K. Pappu. Optimization of trailing edge ejection mixing losses: A theoretical and experimental study. J. Fluid Eng., 121:118–125, Mar. 1999.
C. H. Sieverding. The influence of trailing edge ejection on the base pressure in transonic turbine cascades. ASME Journal of Engineering for Power, 105:215–222, 1983.
W. Tabakoff and A. Hamed. Theoretical and experimental study of flow through turbine cascades with coolant flow injection. Pap. 75–843, AIAA, 1975.
A. Walz. Boundary layers of flow and temperature. MIT Press, 1969.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Krömer, J., Schröder, W., Meinke, M., Comte, P., Brun, C., Haberkorn, M. (2003). LES of transitional boundary layers and wakes with trailing edge blowing. In: Hirschel, E.H. (eds) Numerical Flow Simulation III. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45693-3_15
Download citation
DOI: https://doi.org/10.1007/978-3-540-45693-3_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-53653-3
Online ISBN: 978-3-540-45693-3
eBook Packages: Springer Book Archive