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Large-eddy simulation of separated flow over a three-dimensional axisymmetric hill

Published online by Cambridge University Press:  25 May 2009

M. GARCÍA-VILLALBA ,
N. LI ,
W. RODI  and
M. A. LESCHZINER
M. GARCÍA-VILLALBA*
Affiliation:
Institute for Hydromechanics, University of Karlsruhe, Kaiserstr 12, 76128 Karlsruhe, Germany
N. LI
Affiliation:
Aeronautics Department, Imperial College London, Prince Consort Rd, London SW7 2AZ, UK
W. RODI
Affiliation:
Institute for Hydromechanics, University of Karlsruhe, Kaiserstr 12, 76128 Karlsruhe, Germany
M. A. LESCHZINER
Affiliation:
Aeronautics Department, Imperial College London, Prince Consort Rd, London SW7 2AZ, UK
*
†Email address for correspondence: villalba@ifh.uka.de
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Abstract

The paper examines, by means of highly resolved large-eddy simulations, the fluid mechanic behaviour of an incompressible, turbulent flow separating from an axisymmetric, hill-shaped obstacle. The hill is subjected to a turbulent flat-plate boundary layer of thickness half of the hill height, developing within a large duct in which the hill is placed. The Reynolds number based on the hill height and the free-stream velocity is 130000, and the momentum-thickness Reynolds number of the boundary layer is 7300. Extensive and detailed experimental data are available for these same conditions, and these are compared with the simulations. Two entirely independent simulations are reported, undertaken by different groups with different codes and different grids. They are shown to agree closely in most respects, and any differences are carefully identified and discussed. Mean-flow properties, pressure distributions and turbulence characteristics are reported and compared with the experimental data, with particular emphasis being placed on the separation region that is formed in the leeward of the hill and on the near wake. The connection between the wall topology of the mean flow and the secondary motions in the wake is discussed in detail. Finally, some aspects of the unsteady flow are analysed, including the unsteadiness of the separation process and structural features and coherent motions in the wake.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 627 , 25 May 2009 , pp. 55 - 96
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Acarlar, M. S. & Smith, C. R. 1987 A study of hairpin vortices in a laminar boundary layer. Part 1. Hairpin vortices generated by a hemisphere protuberance. J. Fluid Mech. 175, 1–41.CrossRefGoogle Scholar
Adrian, R. J. 2007 Hairpin vortex organization in wall turbulence. Phys. Fluids 19, 041301.CrossRefGoogle Scholar
del, J. C. & Jiménez, J. 2003 Spectra of the very large anisotropic scales in turbulent channels. Phys. Fluids 15, L41–L44.Google Scholar
Apsley, D. D. & Castro, I. P. 1997 Flow and dispersion over hills: comparison between numerical predictions and experimental data. J. Wind Engng Ind. Aerodyn. 67–68, 375–386.CrossRefGoogle Scholar
Aubertine, C. D. & Eaton, J. K. 2005 Turbulence development in a non-equilibrium turbulent boundary layer with mild adverse pressure gradient. J. Fluid Mech. 532, 345–364.CrossRefGoogle Scholar
Benhamadouche, S., Uribe, J., Jarrin, N. & Laurence, D. 2005 Large eddy simulation of a symmetric bump on structured and unstructured grids, comparisons with RANS and T-RANS models. In Proceedings of the Fourth Intl Sympos. on Turbulence and Shear Flow Phenomena. Williamsburg, Virginia, pp. 325–330.Google Scholar
Blake, W. K. 1975 A statistical description of pressure and velocity fields at the trailing edge of a flat strut. David Taylor Naval Ship R&D Center Report 4241, Bethesda, Maryland.Google Scholar
Breuer, M. & Rodi, W. 1996 Large eddy simulation of complex turbulent flows of practical interest. In Flow simulation with high performance computers II (ed. Hirschel, E. H.), Notes on Numerical Fluid Mechanics, vol. 52, pp. 258–274. Vieweg.CrossRefGoogle Scholar
Byun, G. 2005 Structure of three-dimensional separated flow on symmetric bumps. PhD thesis, Virginia Polytechnic Institute and State University, Blacksburg.CrossRefGoogle Scholar
Byun, G. & Simpson, R. L. 2006 Structure of three-dimensional separated flow on an axisymmetric bump. AIAA J. 44 (5), 999–1008 (also AIAA Paper 2005-0113).CrossRefGoogle Scholar
Byun, G., Simpson, R. L. & Long, C. H. 2004 Study of vortical separation from three-dimensional symmetric bumps. AIAA J. 42 (4), 754–765.CrossRefGoogle Scholar
Davidson, L. & Dahlströhm, S. 2005 Hybrid LES–RANS: computation of the flow around a three-dimensional hill. In Engng Turbulence Modelling and Experiments 6 (ed. Rodi, W. & Mulas, M.). Elsevier.Google Scholar
Ding, L. & Street, R. L. 2003 Numerical study of the wake structure behind a three-dimensional hill. J. Atmos. Sci. 60, 1678–1690.2.0.CO;2>CrossRefGoogle Scholar
Dubief, Y. & Delcayre, F. 2000 On coherent-vortex identification in turbulence. J. Turbul. 1.CrossRefGoogle Scholar
Fröhlich, J., Mellen, C. P., Rodi, W., Temmerman, L. & Leschziner, M. A. 2005 Highly resolved large-eddy simulation of separated flow in a channel with streamwise periodic constrictions. J. Fluid Mech. 526, 19–66.CrossRefGoogle Scholar
Fureby, C., Alin, N., Wikström, N., Menon, S., Svanstedt, N. & Persson, L. 2004 Large-eddy simulation of high-Reynolds number wall-bounded flows. AIAA J. 42 (3), 457–468.CrossRefGoogle Scholar
García-Villalba, M., Fröhlich, J. & Rodi, W. 2006 Identification and analysis of coherent structures in the near field of a turbulent unconfined annular swirling jet using large eddy simulation. Phys. Fluids 18, 055103.CrossRefGoogle Scholar
García-Villalba, M., Stoesser, T., von Terzi, D., Wissink, J. G., Fröhlich, J. & Rodi, W. 2007 Large eddy simulation of turbulent separated flow over a three-dimensional hill. In Advances in Turbulence XI (ed. Palma, J. M. L. M. & Lopes, A. Silva), pp. 627–629.Google Scholar
Germano, M., Piomelli, U., Moin, P. & Cabot, W. H. 1991 A dynamic subgrid-scale eddy viscosity model. Phys. Fluids 3, 1760–1765.CrossRefGoogle Scholar
Hinterberger, C. 2004 Dreidimensionale und tiefengemittelte large-eddy-simulation von Flachwasserströmungen. PhD thesis, University of Karlsruhe.Google Scholar
Hunt, J. C. R., Abell, C. J., Peterka, J. A. & Woo, H. 1978 Kinematical studies of the flow around free or surface-mounted obstacles: applying topology to flow visualization. J. Fluid Mech. 86, 179–200.CrossRefGoogle Scholar
Hunt, J. C. R. & Snyder, W. H. 1980 Experiments on stably and neutrally stratified flow over a model three-dimensional hill. J. Fluid Mech. 96, 671–704.CrossRefGoogle Scholar
Jeong, J. & Hussain, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 69–94.CrossRefGoogle Scholar
Krajnović, S. 2008 Large eddy simulation of the flow around a three-dimensional axisymmetric hill. Flow Turbul. Combust. 81 (1–2), 189–204.CrossRefGoogle Scholar
Lardat, R. & Leschziner, M. A. 1998 A Navier–Stokes solver for LES on parallel computers. Tech Rep. University of Manchester.Google Scholar
Lardeau, S., Tessicini, F. & Leschziner, M. A. 2007 Identification of hairpin-type flow structures in separated flow behind a three-dimensional hill using POD. In Proceedings of the Fifth Intl Sympos. on Turbulence and Shear Flow Phenomena. Munich.CrossRefGoogle Scholar
Le, H. & Moin, P. 1991 An improvement of fractional step methods for the imcompressible Navier–Stokes equations. J. Comput. Phys. 92, 369–379.CrossRefGoogle Scholar
Li, N. & Leschziner, M. A. 2007 Highly resolved simulation of flow over a three-dimensional hill. In Advances in Turbulence XI (ed. Palma, J. M. L. M. & Lopes, A. Silva), pp. 407–409.Google Scholar
Lilly, D. K. 1992 A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids 4, 633–635.CrossRefGoogle Scholar
Ma, R. & Simpson, R. L. 2005 Characterization of turbulent flow downstream of a three-dimensional axisymmetric bump. In Proceedings of the Fourth Intl Sympos. on Turbulence and Shear Flow Phenomena. Williamsburg, Virginia, pp. 1171–1176.CrossRefGoogle Scholar
Manhart, M. 1998 Vortex shedding from a hemisphere in a turbulent boundary layer. Theor. Comput. Fluid Dyn. 12, 1–28.CrossRefGoogle Scholar
Oppenheim, A. V. & Schafer, R. W. 1989 Discrete-Time Signal Processing. Prentice HallGoogle Scholar
Patel, N. & Menon, S. 2007 Structure of flow separation and reattachment behind an axisymmetric hill. J. Turbul. 8 (36), 1–24.CrossRefGoogle Scholar
Patel, N., Stone, C. & Menon, S. 2003 Large-eddy simulation of turbulent flow over an axisymmetric hill. AIAA Paper 2003-0967.CrossRefGoogle Scholar
Persson, T., Liefvendahl, M., Benson, R. E. & Fureby, C. 2006 Numerical investigation of the flow over an axisymmetric hill using LES, DES and RANS. J. Turbul. 7 (4), 1–17.CrossRefGoogle Scholar
Pierce, C. D. 2001 Progress-variable approach for large-eddy simulation of turbulent combustion. PhD thesis, Stanford University.Google Scholar
Rhie, C. M. & Chow, W. L. 1983 Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21 (11), 1061–1068.CrossRefGoogle Scholar
Simpson, R. L., Long, C. H. & Byun, G. 2002 Study of vortical separation from an axisymmetric hill. Intl J. Heat Fluid Flow 23 (5), 582–591.CrossRefGoogle Scholar
Song, S., DeGraaff, D. B. & Eaton, J. K. 2000 Experimental study of a separating, reattaching, and redeveloping flow over a smoothly contoured ramp. Intl J. Heat Fluid Flow 21 (5), 512–519.CrossRefGoogle Scholar
Stone, H. L. 1968 Iterative solution of implicit approximations of multidimensional partial differential equations for finite difference methods. SIAM J. Numer. Anal. 5, 530–558.CrossRefGoogle Scholar
Tessicini, F., Li, N. & Leschziner, M. A. 2007 Large-eddy simulation of three-dimensional flow around a hill-shaped obstruction with a zonal near-wall approximation. Intl J. Heat Fluid Flow 28 (5), 894–908.CrossRefGoogle Scholar
Visbal, M. R., Rizzetta, D. P. & Mathew, J. 2007 Large-eddy simulation of turbulent flow past a 3-d bump. AIAA Paper 2007-917.CrossRefGoogle Scholar
Wang, C., Jang, Y. J. & Leschziner, M. A. 2004 Modelling two- and three-dimensional separation from curved surfaces with anisotropy-resolving turbulence closures. Intl J. Heat Fluid Flow 25 (3), 499–512.CrossRefGoogle Scholar
Wang, M. & Moin, P. 2002 Dynamic wall modelling for large-eddy simulation of complex turbulent flows. Phys. Fluids 14 (7), 2043–2051.CrossRefGoogle Scholar
Wasistho, B. & Squires, K. D. 2001 Numerical investigation of the separated flow over a smoothly contoured ramp. In Proceedings of the Second Intl Sympos. on Turbulence and Shear Flow Phenomena.CrossRefGoogle Scholar
Werner, H. & Wengle, H. 1993 Large-eddy simulation of turbulent flow over and around a cube in a plate channel. In Eighth Sympos. on Turbulent Shear Flows, pp. 155–168. Springer.CrossRefGoogle Scholar
Wissink, J. G., Michelassi, V. & Rodi, W. 2004 Heat transfer in a laminar separation bubble affected by oscillating external flow. Intl J. Heat Fluid Flow 25, 729–740.CrossRefGoogle Scholar