Abstract
In this paper a zonal RANS/LES approach is presented in which the regions with attached boundary-layers are computed via RANS and the regions with separated flows by using LES. The transition from RANS to LES takes place in an overlapping region between the RANS and LES zone. Two different turbulent inflow generation methods coupled with a controlled forcing ansatz are applied which enable a fast and smooth transition from two-dimensional RANS- to the three-dimensional unsteady LES solutions. Both approaches require local Reynolds shear stresses of a RANS solution which is located upstream of the LES. The inflow generation methods are validated for a boundary-layer flow and the fully coupled zonal approach is applied to a transonic flow over an airfoil both including a shock boundary-layer interaction.
This is a preview of subscription content, log in via an institution to check access.
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
P. Batten, U. Goldberg, and S. Chakravarthy. Interfacing statistical turbulence closures with large-eddy simulation. AIAA Journal, 42(3):485–492, 2004.
J.P. Boris, F.F. Grinstein, E.S. Oran, and R.L. Kolbe. New insights into large eddy simulation. Fluid Dynamics Research, 10:199–228, 1992.
W.A. El-Askary, M. Meinke, and W. Schröder. Large Eddy Simulation of a Compressible Boundary Layer. Pap., Aerodyn. Inst. RWTH Aachen, 2002. Presented at GAMM conference 2002, March 25-28, Augsburg.
J. Fröhlich and D.V. Terzi. Hybrid les/rans methods for the simulation of turbulent flows. Prog. Aerospace Sci., 44:349–377, 2008.
J.L. Fulker and M.J. Simmons. An Experimental Investigation of Passive Shock/Boundary Layer Interaction Control on an Aerofoil. DRAIASIHWAICR 9521611 EUROSHOCK TR AER 2, 4913(2), 1992.
N. Jarrin, S. Benhamadouche, D. Laurence, and R. Prosser. A synthetic-eddy-method for generating inflow conditions for large-eddy simulations. International Journal of Heat and Fluid Flow, 27:585–593, 2006.
J. Jeong and F. Hussain. On the identification of a vortex. J. Fluid Mech., 285:69–94, 1995.
A. Keating, G. de Prisco, and U. Piomelli. Interface conditions for hybrid rans/les calculation. International Journal of Heat and Fluid Flow, 27:777–788, 2006.
A. Keating, U. Piomelli, E. Balaras, and H.-J. Kaltenbach. A priori and a posteriori tests of inflow conditions for large-eddy simulation. Physics of Fluids, 16(12):4696–4712, December 2004.
D. König, W. Schröder, and M. Meinke. Embedded les-to-rans boundary in zonal simulations. Journal of Turbulence, 11:1–25, 2010.
R.H. Kraichnan. Inertial Ranges in Two-Dimensional Turbulence. Physics of Fluids, 10(7):1417–1423, July 1967.
M.-S. Liou and C.J. Steffen. A new flux splitting scheme. Journal of Computational Physics, 107:23–39, 1993.
M. Meinke, W. Schröder, E. Krause, and T. Rister. A comparison of second- and sixth-order methods for large-eddy simulations. Computers and Fluids, 31:695–718, 2002.
A. Smirnov, S. Shi, and I. Celik. Random flow generation technique for large eddy simulations and particle dynamics modeling. Journal of Fluids Engineering, 123:359–371, 2001.
P.R. Spalart and S.R. Allmaras. A One-Equation Turbulence Model for Aerodynamic Flows. Paper 92-0439, AIAA, 1992. 30th Aerospace Sciences Meeting & Exhibit, Jan 6-9, Reno.
P.R. Spalart, W.H. Jou, M. Strelets, and S.R. Allmaras. Comments on the feasibility of les for wings, and on a hybrid rans/les approach. Advances on DNS/LES. Greyden Press, Columbus, OH, 1997.
A. Spille and H.-J. Kaltenbach. Generation of turbulent inflow data with a prescribed shear-stress profile. Third AFSOR Conference on DNS and LES, August 2001.
K.D. Squires. Detached-eddy simulation: current status and perspectives. Direct and Large-Eddy Simulation, pages 465–480. Kluwer, Dordrecht, 2004.
D.C. Wilcox. Turbulence Modeling for CFD. DCW Industries, 1993.
Q. Zhang, W. Schröder, and M. Meinke. A zonal rans/les method to determine the flow over a high-lift configuration. Accepted for publication in Computers and Fluids, 2010.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Roidl, B., Meinke, M., Schröder, W. (2011). Numerical Investigation of Shock Wave Boundary-Layer Interaction Using a Zonal RANS-LES Ansatz. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering '10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15748-6_28
Download citation
DOI: https://doi.org/10.1007/978-3-642-15748-6_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15747-9
Online ISBN: 978-3-642-15748-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)