Development of wall models for LES of separated flows using statistical evaluations

Computers and Fluids

Volumn 36, Issue 5, 2007, Pages 817-837

  Breuer, M ^a   Kniazev, B ^a   Abel, M ^b  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION; LARGE EDDY SIMULATION; MATHEMATICAL MODELS; RANDOM PROCESSES; STATISTICAL METHODS; VISCOSITY; VISCOUS FLOW;

ARTIFICIAL VISCOSITY; EDDY VISCOSITY; NONLINEAR STOCHASTIC ESTIMATION; PLANE CHANNELS; SEPARATED FLOWS; STATISTICAL EVALUATIONS;

CHANNEL FLOW;

CHANNEL FLOW; ESTIMATION; LARGE EDDY SIMULATION; MATHEMATICAL MODELS; RANDOM PROCESSES; STATISTICAL METHODS; VISCOSITY; VISCOUS FLOW;

EID: 33847263501     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2006.09.001     Document Type: Article

References (59)

1. Breuer M. Direkte Numerische Simulation und Large-Eddy Simulation turbulenter Strömungen auf Hochleistungsrechnern. Habilitations-schrift, Univ. Erlangen-Nürnberg, Berichte aus der Strömungstechnik.Shaker Verlag Aachen; 2002. ISBN: 3-8265-9958-6.
2. Reynolds W.C. The potential and limitation of direct- and large-eddy simulations. In: Lumley J.L. (Ed). Whither Turbulence? Turbulence at the crossroads (1990), Springer-Verlag, Heidelberg 313-342
3. Deardorff J.W. A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J Fluid Mech 41 (1970) 453-480
4. Schumann U. Subgrid-scale model for finite-difference simulations of turbulent flows in plane channels and annuli. J Comput Phys 18 (1975) 376-404
5. Robinson SK. An experimental search for near-wall boundary conditions for large-eddy simulations. AIAA/ASME, Third joint thermodynamics, fluids, plasma and heat transfer conference, St. Louis, MO, USA. AIAA paper 82-0963; 1982.
6. Piomelli U., Ferziger J., Moin P., and Kim J. New approximate boundary conditions for large eddy simulations of wall-bounded flow. Phys Fluids A 1 (1989) 1061-1068
7. Grötzbach G. Direct numerical and large eddy simulation of turbulent channel flow. In: Cheremisinoff N. (Ed). Encyclopedia of fluid mechanics vol. 6 (1987), Gulf, West Orange, NJ 1337-1391
8. Werner H., and Wengle H. Large eddy simulation of turbulent flow over and around a cube in a plate channel. In: Durst F., Friedrich R., Launder B.E., Schmidt F.W., Schumann U., and Whitelaw J.H. (Eds). Eighth symposium on turbulent shear flows (1993), Springer-Verlag, Berlin 155-168
9. Balaras E, Benocci C. Subgrid-scale models in finite-difference simulations of complex wall-bounded flows. AGARD CP 551. Neuilly-Sur-Seine: AGARD; 1994. p. 2.1-2.5.
10. Balaras E., Benocci C., and Piomelli U. Two-layer approximate boundary conditions for large eddy simulations. AIAA J 34 6 (1996) 1111-1119
11. Templeton J.A., Medic G., and Kalitzin G. An eddy-viscosity based near-wall treatment for coarse grid large-eddy simulation. Phys Fluids 17 10 (2005) 105101-1-105101-6
12. Cabot WH. Near-wall models in large-eddy simulations of flow behind a backward-facing step. Annual Research Briefs 1996, Center for Turbulence Research, Stanford University; 1996. p. 199-210.
13. Cabot WH. Wall models in large-eddy simulations of separated flow. Annual Research Briefs, Center for Turbulence Research, Stanford University; 1997. p. 97-106.
14. Cabot W.H., and Moin P. Approximate wall boundary conditions in the large-eddy simulation of high Reynolds number flow. J Flow Turbulence Combust 63 1/4 (2000) 269-291
15. Hoffmann G., and Benocci C. Approximate wall boundary conditions for large eddy simulations. In: Benzi R. (Ed). Advances in Turbulence V (1995), Kluwer, Dordrecht 222-228
16. Manhart M. Analyzing near-wall behavior in a separating turbulent boundary layer by DNS. In: Geurts B.J., Friedrich R., and Métais O. (Eds). Fourth workshop on DNS & LES, Enschede, The Netherlands, July 18-20, 2001 ERCOFTAC Series, Direct and Large-Eddy Simulation IV vol. 8 (2001), Kluwer, Dordrecht 81-88
17. Fröhlich J. LES of vortex shedding past circular cylinders. In: European congress on computational methods in applied science and engineering (ECCOMAS 2000), Barcelona, September 11-14; 2000.
18. Fröhlich J, Rodi W, Bertoglio JP, Bieder U, Touil H. Large-eddy simulation of flows around circular cylinders on structured and unstructured grids, II. In: Numerical flow simulation II, CNRS-DFG Collaborative Research Programme, Results 1998-2000. Notes on Numerical Fluid Mechanics, vol. 75; 2001. p. 231-49.
19. Cebeci T., and Bradshaw P. Physical and computational aspects of convective heat transfer (1984), Springer-Verlag, New York
20. White F. Viscous fluid flow (1974), McGraw-Hill, New York
21. Skote M., Henningson D.S., and Henkes R.A.W.M. Direct numerical simulations of self-similar turbulent boundary layers in adverse pressure gradients. J Flow Turbulence and Combust 60 (1998) 47-85
22. Stratford B.S. The prediction of separation of the turbulent boundary layer. J Fluid Mech 5 (1959) 1-16
23. Townsend A.A. Equilibrium layers and wall turbulence. J Fluid Mech 11 (1961) 97-120
24. Mellor G. The effects of pressure gradients on turbulent flow near a smooth wall. J Fluid Mech 24 (1966) 255-274
25. Afzal N. Wake layer in a turbulent boundary layer with pressure gradient: a new approach. In: Gersten K., editor. IUTAM symposium on asymptotic methods for turbulent shear flows at high Reynolds numbers; 1996. p. 95-118.
26. Durbin P.A., and Blecher S.E. Scaling of adverse-pressure-gradient turbulent boundary layers. J Fluid Mech 238 (1992) 699-722
27. Skote M, Henningson DS. Analysis of the data base from a DNS of a separating turbulent boundary layer. Center for Turbulence Research, Annual Research Briefs; 1999. p. 225-37.
28. Skote M., and Henningson D.S. Direct numerical simulation of a separated turbulent boundary layer. J Fluid Mech 471 (2002) 107-136
29. Peller N, Brun C, Manhart M. Wall layer investigations of channel flow with periodic hill constrictions. In: Lamballais E, Friedrich R, Geurts BJ, Métais O, editors. Sixth int. ERCOFTAC workshop on DNS & LES, Poitiers, France, September 12-14, 2005, ERCOFTAC Series, vol. 10. Direct and large-eddy simulation VI. Springer Science; 2005. p. 389-96, ISBN 10-1-4020-4909-9.
30. Simpson R.L. A model for the backflow mean velocity profile. AIAA J 21 1 (1983) 142-143
31. Fröhlich J., Mathey F., and Rodi W. Large eddy simulation of the flow over a matrix of surface-mounted cubes. In: Krause E., and Jäger W. (Eds). High performance computing in science and engineering 2000 (2001), Springer-Verlag, Berlin
32. Kaltenbach H.J. A priori testing of wall models for separated flows. Phys Fluids 15 10 (2003) 3048-3064
33. Temmerman L., Leschziner M.A., Mellen C.P., and Fröhlich J. Investigation of wall-function approximations and subgrid-scale models in large eddy simulation of separated flow in a channel with streamwise periodic constrictions. Int J Heat and Fluid Flow 24 (2003) 157-180
34. Adrian R.J. Conditional eddies in isotropic turbulence. Phys Fluids 22 11 (1979) 2065-2070
35. Adrian R.J., Jones B.G., Chung M.K., Hassan Y., Nithianandan C.K., and Tung A. Approximation of turbulent conditional averages by stochastic estimation. Phys Fluids A 1 (1989) 992-998
36. Langford J., and Moser R.D. Optimal LES formulations for isotropic turbulence. J Fluid Mech 398 (1999) 321-346
37. Nicoud F., Bagett J.S., Moin P., and Cabot W. Large eddy simulation wall-modeling based on suboptimal control theory and linear stochastic estimation. Phys Fluids 13 10 (2001) 2968-2984
38. Meneveau C., and Katz J. Scale-invariance and turbulence models for large eddy simulation. Annu Rev Fluid Mech 32 (2000) 1-32
39. Völker S., Moser R.D., and Venugopal P. Optimal large eddy simulation of turbulent channel flow based on direct numerical simulation data. Phys Fluids 14 10 (2002) 3675-3691
40. Abel M., Stojković D., and Breuer M. Nonlinear stochastic estimation of wall models for LES. Int J Heat and Fluid Flow 27 2 (2005) 267-278 2006
41. Hastie T., and Tibshirani R. Generalized additive models (1990), Chapman & Hall, London
42. Breuer M, Kniazev B, Abel M. Development of wall models for LES of separated flows. In: Lamballais E, Friedrich R, Geurts BJ, Métais O, editors. Sixth int. ERCOFTAC workshop on DNS & LES, Poitiers, France, September 12-14, 2005, ERCOFTAC Series, vol. 10. Direct and large-eddy simulation VI. Springer Science; 2006. p. 373-80, ISBN 10-1-4020-4909-9.
43. Breuer M., Kniazev B., and Abel M. Towards wall models for LES of separated flows. In: Peinke J., Kittel A., Barth S., and Oberlack M. (Eds). ITI conference on turbulence 2005, Bad Zwischenahn, Germany, September 25-28, 2005. Progress in turbulence vol. 2 (2007), Springer Verlag, Berlin, Heidelberg, New York ISBN 10-3-540-32602-2
44. Utyuzhnikov S.V. Some new approaches to building and implementation of wall-function for modeling of near-wall turbulent flows. Comput Fluids 34 (2005) 771-784
45. Craft T.J., Grant S.E., Iacovides H., and Launder B.E. A new wall function strategy for complex turbulent flows. Numer Heat Transfer, Part B 45 (2004) 301-318
46. Abel M. Application of the effective viscosity approach to wall models for LES, personal communication; 2006.
47. Chieng C.C., and Launder B.E. On the calculation of turbulent heat transfer downstream from abrupt pipe expansion. Numer Heat Transfer 3 (1980) 189-207
48. Craft T.J., Gerasimov A.V., Iacovides H., and Launder B.E. Progress in generalization of wall-function treatments. Int J Heat Fluid Flow 23 (2002) 148-160
49. Ciofalo M., and Collins M.W. K-ε{lunate} predictions of heat transfer in turbulent recirculating flows using an improved wall treatment. Numer Heat Transfer 15 (1989) 21-47
50. Johnson R.W., and Launder B.E. Discussion of 'On the calculation of turbulent heat transport downstream from an abrupt pipe expansion'. Numer Heat Transfer 5 (1982) 493-496
51. Mellen C, Fröhlich J, Rodi W. Large-eddy simulation of the flow over periodic hills. In: Deville M, Owens R, editors. Proceedings of the 16th IMACS world congress, Lausanne, Switzerland. CD-ROM; 2000.
52. Breuer M, Rodi W. Large-eddy simulation of complex turbulent flows of practical interest. In: Hirschel EH, editors. Flow simulation with high-performance computers II. Notes on numerical fluid mechanics, vol. 52; 1996. p. 258-74.
53. Breuer M. Large-eddy simulation of the sub-critical flow past a circular cylinder: numerical and modeling aspects. Int J Numer Methods Fluids 28 (1998) 1281-1302
54. Jakirlić S, Jester-Zürker R, Tropea C, editors. Ninth ERCOFTAC/IAHR/COST workshop on refined flow modeling, Darmstadt University of Technology, October 4-5; 2001.
55. Manceau R, Bonnet J-P, Leschziner MA, Menter F, editors. 10th Joint ERCOFTAC(SIG-15)/IAHR/QNET-CFD workshop on refined flow modeling, Université de Poitiers, October 10-11; 2002.
56. Germano M., Piomelli U., Moin P., and Carbot W.H. A dynamic subgrid scale eddy viscosity model. Phys Fluids A 3 7 (1991) 1760-1765
57. Breuer M. New reference data for the hill flow test case. http://www.hy.bv.tum.de/DFG-CNRS/; 2005.
58. Smagorinsky J. General circulation experiments with the primitive equations, I, the basic experiment. Mon Weather Rev 91 (1963) 99-165
59. Fröhlich J., Mellen C.P., Rodi W., Temmerman L., and Leschziner M.A. Highly resolved large-eddy simulation of separated flow in a channel with steamwise periodic constrictions. J Fluid Mech 526 (2005) 19-66