Homogeneity of turbulence generated by static-grid structures

Journal of Fluid Mechanics

Volumn 654, Issue , 2010, Pages 473-500

  Ertunc O ^a   Ozyilmaz N ^b   Lienhart, H ^a   Durst, F ^c   Beronov, K ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b CLAUSTHAL UNIVERSITY OF TECHNOLOGY   (Germany)

^c FMP TECHNOLOGY GMBH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECT NUMERICAL SIMULATION; FLOW VELOCITY; KINETIC ENERGY; KINETICS; MESH GENERATION; NUMERICAL METHODS; NUMERICAL MODELS; POROSITY; REYNOLDS NUMBER; VELOCITY; WAKES; WIND TUNNELS;

GRID STRUCTURES; HOMOGENEOUS TURBULENCE; HOT WIRE MEASUREMENTS; INHOMOGENEITIES; NON-UNIFORM GRIDS; REYNOLDS STRESS; TRANSPORT EQUATION; TURBULENCE FIELDS;

TURBULENCE;

INHOMOGENEITY; KINETIC ENERGY; NUMERICAL METHOD; REYNOLDS NUMBER; SIMULATION; TURBULENCE; WAKE; WIND TUNNEL;

EID: 77957136662     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010000479     Document Type: Article

References (66)

1. Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
2. Batchelor, G. K. & Stewart, R. W. 1950 Anisotropy of the spectrum of turbulence at small wavenumbers. Q. J. Mech. Appl. Math. 3, 1.
3. Batchelor, G. K. & Townsend, A. A. 1948a Decay of isotropic turbulence in the initial period. Proc. R. Soc. A 193, 539-558.
4. Batchelor, G. K. & Townsend, A. A. 1948b Decay of isotropic turbulence in the final period. Proc. R. Soc. A 194, 527-543.
5. Batchelor, G. K. & Townsend, A. A. 1949 The nature of turbulent motion at large wavenumbers. Proc. R. Soc. A 199, 238-255.
6. Von Bohl, J. G. 1940 Das Verhalten paralleler Luftstrahlen. Ing. Arch. 11 (4), 295-314.
7. Bradshaw, P. 1964 Wind tunnel screens: flow instability and its effect on aerofoil boundary layers. J. R. Aeronaut. Soc. 68, 198.
8. Bradshaw, P. 1965 The effect of wind-tunnel screens on nominally two-dimensional boundary layers. J. Fluid Mech. 22 (4), 679-687.
9. Bradshaw, P. 1971 An Introduction to Turbulence and Its Measurement. Pergamon.
10. Brenner, G., Zeiser, T., Beronov, K., Lammers, P. & Bernsdorf, J. 2003 Lattice Boltzmann methods: high performance computing and engineering applications. In Parallel Computational Fluid Dynamics pp. 3-12. Elsevier.
11. Breuer, M. 2001 Direkte numerische Simulation und Large-Eddy Simulation turbulenter Strömungen auf Hochleistungsrechner. PhD thesis, Friedrich Alexander Universiẗat Erlangen-Nürnberg, LSTM-Erlangen, Germany.
12. Breuer, M., Bernsdorf, J., Zeiser, T. & Durst, F. 2000 Accurate computations of the laminar flow past a square cylinder based on two different methods: Lattice-Boltzmann and finite volume. Intl J. Heat Fluid Flow 21, 186-196.
13. Choi, K.-S. & Lumley, J. L. 2001 The return to isotropy of homogeneous turbulence. J. Fluid Mech. 436, 59-84.
14. Comte-Bellot, G. & Corrsin, S. 1966 The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech. 25, 657.
15. Comte-Bellot, G. & Corrsin, S. 1971 Simple Eulerian time-correlation of full-and narrow-band velocity signals in grid-generated, 'isotropic' turbulence. J. Fluid Mech. 48, 273-337.
16. Corrsin, S. 1944 Investigation of the behaviour of parallel two-dimensional air jets. Tech. Rep. ACR-4H24. NACA.
17. Corrsin, S. 1963 Turbulence: Experimental Methods, vol.8. Springer.
18. Djenidi, L. 2006 Lattice-Boltzmann simulation of grid-generated turbulence. J. Fluid Mech. 552, 13-35.
19. Ertunç, O. 2007 Experimental and numerical investigations of axisymmetric turbulence. PhD thesis, Friedrich Alexander Universiẗat Erlangen-Nürnberg, LSTM-Erlangen, Germany. http://www.opus.ub.uni-erlangen. de/opus/volltexte/2007/537/. ̈
20. Ertunç, O. & Durst, F. 2008 On the high contraction ratio anomaly of axisymmetric contraction of grid-generated turbulence. Phys. Fluids 20, 025103.
21. Ferchichi, M. & Tavoularis, S. 2000 Reynolds number effects on the fine structure of uniformly sheared turbulence. Phys. Fluids 12, 2942-2953.
22. Freund, H., Zeiser, T., Huber, F., Klemm, E., Brenner, G., Durst, F. & Emig, G. 2003 Numerical simulations of single-phase reacting flows in randomly packed fixed-bed reactors and experimental validation. Chem. Engng. Sci. 58, 903-910.
23. Fröhlich, J. 2006 Large Eddy Simulationen turbulenter Strömungen. B.G-Teubner.
24. B.G-Teubner. Gence, J. N. 1983 Homogeneous turbulence. Annu. Rev. Fluid Mech. 15, 201-222.
25. Gence, J. N. & Mathieu, J. 1979 On the application of successive plain strains to grid-generated turbulence. J. Fluid Mech. 93, 501-513.
26. Gence, J. N. & Mathieu, J. 1980 The return to isotropy of an homogeneous turbulence having being submitted to two successive plane strains. J. Fluid Mech. 101, 555-566.
27. Grant, H. L. & Nisbet, I. C. T. 1957 The inhomogeneity of grid turbulence. J. Fluid Mech. 2, 263-272.
28. Hinze, J. O. 1975 Turbulence, 2nd edn. New York: McGraw-Hill.
29. von Kármán, T. 1937 The fundamentals of the statistical theory of turbulence. J. Aero. Sci. 4 (4), 131-139.
30. Von Kármán, T. & Howarth, L. 1938 On the statistical theory of isotropoic turbulence. Proc. R. Soc. A 164 (917), 192-215.
31. Kolmogorov, A. N. 1941a The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. C. R. Acad. Sci., U.S.S.R. 30, 301-305.
32. Kolmogorov, A. N. 1941b Dissipation of energy in locally isotropic turbulence. C. R. Acad. Sci. U.S.S.R. 32, 16-18.
33. Lammers, P. 2004 Direkte numerische simulationen wandgebundener stroemungen kleiner Reynoldszahlen mit dem Lattice Boltzmann verfahren. PhD thesis, Friedrich Alexander Universiẗat Erlangen-Nürnberg, LSTM-Erlangen, Germany.
34. Lavoie, P., Djenidi, L. & Antonia, R. A. 2007 Effects of initial conditions in decaying turbulence generated by passive grids. J. Fluid Mech. 585, 395-420.
35. Liu, R., Ting, D. S.-K. & Rankin, G. W. 2004 On the generation of turbulence with a perforated plate. Exp. Therm. Fluid Sci. 28, 307-316.
36. Loehrke, R. I. & Nagib, H. M. 1972 Experiments on management of free stream turbulence. Tech. Rep. 598. AGARD.
37. Mazellier, N. & Vassilicos, J. C. 2008 The turbulence dissipation constant is not universal because of its universal dependence on large-scale flow topology. Phys. Fluids 20, 015101.
38. Mills, R. R. & Corrsin, S. 1959 Effect of contraction on turbulence and temperature fluctuations generated by a warm grid. Tech. Rep. 5-5-59W. NASA Memorandum.
39. Mohamed, M. S. & Larue, J. C. 1990 The decay power law in grid-generated turbulence. J. Fluid Mech. 219, 195-214.
40. Mydlarski, L. & Warhaft, Z. 1996 On the onset of high Reynolds number grid-generated wind tunnel turbulence. J. Fluid Mech. 320, 331-368.
41. Naudascher, E. & Farell, C. 1970 Unified analysis of grid turbulence. J. Engng Mech. Div., ASCE 96 (No.EM2, Proc. Paper 7214), 121-141.
42. Ozyilmaz, N. 2003 Turbulence statistics in the inner layer of two-dimensional channel flow. Master's thesis, Friedrich Alexander Universiẗat Erlangen-Nürnberg, LSTM-Erlangen, Germany.
43. Prandtl, L. 1932 Herrstellung Einwand freier luftströme im windkan̈ale. Handbuch der Experimentalphysik [Translated as NACA-TM-726 (1933)] 4 (2), 73.
44. Prandtl, L. 1933 Attaining a steady air stream in wind tunnels. Tech. Rep. NACA-TM-726.
45. Reynolds, A. J. & Tucker, H. J. 1975 The distortion of turbulence by general uniform irrotational strain. J. Fluid Mech. 68, 673-693.
46. Sagaut, P. & Cambon, C. 2008 Homogeneous Turbulence Dynamics. Cambridge University Press.
47. a; ≈ 1000) turbulent shear flow. Phys. Fluids 12 (11), 2976-2989.
48. Shen, X. & Warhaft, Z. 2002 Longitudinal and transverse structure functions in sheared and unsheared wind-tunnel turbulence. Phys. Fluids 14 (1), 370-381.
49. Sjögren, T. & Johansson, A. V. 1998 Measurement and modelling of homogeneous axisymmetric turbulence. J. Fluid Mech. 374, 59-90.
50. Spalart, P. 1988 Direct numerical study of leading edge contamination. In Fluid Dynamics of Three-dimensional Turbulent Shear Flows and Transition, pp. 5.1-5.13.
51. Succi, S. 2001 The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond. Oxford University Press.
52. Tan-Atichat, J. & Nagib, H. M. 1982 Interaction of free-stream turbulence with screens and grids: a balance between turbulence scales. J. Fluid Mech. 114, 501-528.
53. Tan-Atichat, J., Nagib, H. M. & Drubka, R. E. 1980 Effects of axisymmetric contractions on turbulence of various scales. Tech. Rep. 165136. NASA Contractor Report.
54. Taylor, G. I. 1935a Statistical theory of turbulence. Parts 1-4. Proc. R. Soc. A 151, 421.
55. Taylor, G. I. 1935b Turbulence in a contracting stream. Z. Angew. Math. Mech. 15, 91-96.
56. Taylor, G. I. 1937 The statistical theory of isotropic turbulence. J. Aero. Sci. 4, 311.
57. Taylor, G. I. 1938 The spectrum of turbulence. Proc. R. Soc. A 164, 476.
58. Townsend, A. A. 1954 The uniform distortion of homogeneous turbulence. Q. J. Mech. Appl. Math. 7, 104-127.
59. Tucker, H. J. & Reynolds, A. J. 1968 The distortion of turbulence by irrotational strain. J. Fluid Mech. 32, 657-673.
60. Uberoi, M. S. 1956 Effect of wind-tunnel contraction on free-stream turbulence. J. Aero. Sci. 23, 754-764.
61. Uberoi, M. S. 1957 Equipartition of energy and local isotropy in turbulent flows. J. Appl. Phys. 28 (10), 1163-1170.
62. Warhaft, Z. 1980 An experimental study of the effect of uniform strain on thermal fluctuations in grid-generated turbulence. J. Fluid Mech. 99, 545-573.
63. Warhaft, Z. & Shen, X. 2002 On the higher order mixed structure functions in laboratory shear flow. Phys. Fluids 14 (7), 2432-2438.
64. Wellein, G., Zeiser, T., Hager, G. & Donath, S. 2006 On the single processor performance of simple Lattice Boltzmann kernels. Comput. Fluids 35, 910-919.
65. Wolf-Gladrow, D. 2000 Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction. Springer.
66. Zeiser, T., Lammers, P., Klemm, E., Bernsdorf, J. & Brenner, G. 2001 CFD-calculation of flow, dispersion and reaction in a catalyst filled tube by the lattice Boltzmann method. Chem. Engng Sci. 56, 1697-1704.