Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-02-11T12:02:23.892Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical investigation of turbulent channel flow

Published online by Cambridge University Press:  20 April 2006

Parviz Moin  and
John Kim
Parviz Moin
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, California 94305, U.S.A.
John Kim
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, California 94305, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

Fully developed turbulent channel flow has been simulated numerically at Reynolds number 13800, based on centre-line velocity and channel half-width. The large-scale flow field has been obtained by directly integrating the filtered, three-dimensional, time-dependent Navier-Stokes equations. The small-scale field motions were simulated through an eddy-viscosity model. The calculations were carried out on the ILLIACIV computer with up to 516096 grid points.

The computed flow field was used to study the statistical properties of the flow as well as its time-dependent features. The agreement of the computed mean-velocity profile, turbulence statistics, and detailed flow structures with experimental data is good. The resolvable portion of the statistical correlations appearing in the Reynolds-stress equations are calculated. Particular attention is given to the examination of the flow structure in the vicinity of the wall.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 118 , May 1982 , pp. 341 - 377
Copyright
© 1982 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Antonopoulos-Domis 1981 Large-eddy simulation of a passive scalar in isotropic turbulence. J. Fluid Mech. 104, 55–79.
Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Blake, W. K. 1970 Turbulent boundary-layer wall-pressure fluctuations on smooth and rough walls. J. Fluid Mech. 44, 637–660.Google Scholar
Brodkey, R. S., Wallace, J. M. & Eckelmann, H. 1974 Some properties of truncated turbulence signals in bounded shear flows. J. Fluid Mech. 63, 209–224.Google Scholar
Chapman, D. R. 1979 Computational aerodynamics development and outlook. A.I.A.A. J. 17, 1293–1313.Google Scholar
Clark, J. A. 1968 A study of incompressible turbulent boundary layers in channel flow. Trans. A.S.M.E. D, J. Basic Engng 90, 455.Google Scholar
Clark, J. A. & Markland, E. 1970 Vortex structures in turbulent boundary layers. Aero. J. 74, 243–244.Google Scholar
Comte-Bellot, G. 1963 Contribution a l’étude de la turbulence de conduite. Doctoral thesis, University of Grenoble.
Corcos, G. M. 1962 Univ. Calif., Inst. of Engrg Res. Rep., Series 183, no. 1.
Daly, J. & Harlow, F. H. 1970 Transport equations in turbulence. Phys. Fluids 13, 2634–2649.Google Scholar
Deardorff, J. W. 1970 A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41, 453–480.Google Scholar
Elliott, J. A. 1972 Microscale pressure fluctuation measured within the lower atmospheric boundary layer. J. Fluid Mech. 53, 351–383.Google Scholar
Emmerling, R. 1973 The instantaneous structure of the wall pressure under a turbulent boundary layer flow. Max-Planck-Inst. für Strömungsforschung Rep. no. 9/1973.Google Scholar
Falco, R. E. 1978 The role of outer flow coherent motions in the production of turbulence near a wall. In Coherent Structures of Turbulent Boundary Layers (ed. C. R. Smith & D. E. Abbott). A.F.O.S.R./Lehigh.
Grötzbach, G. & Schumann, U. 1979 Direct numerical simulation of turbulent velocity-, pressure-, and temperature-fields in channel flows. In Turbulent Shear Flows I (ed. F. Durst, B. E. Launder & F. W. Schmidt), pp. 379–385. Springer.
Harlow, F. H. & Welch, J. E. 1965 Numerical calculation of time-dependent viscous incompressible flow. Phys. Fluids 8, 2182.Google Scholar
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw-Hill.
Hussain, A. K. M. F. & Reynolds, W. C. 1975 Measurements in fully developed turbulent channel flow. Trans. A.S.M.E. I, J. Fluids Engng 97, 568–578.Google Scholar
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 The production of turbulence near a smooth wall in a turbulent boundary layer. J. Fluid Mech. 50, 133.Google Scholar
Kim, J. & Moin, P. 1979 Large eddy simulation of turbulent channel flow-ILLIAC IV calculation. In Turbulent Boundary Layers-Experiments, Theory, and Modeling, The Hague, Netherlands. AGARD Conf. Proc. no. 271.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741–773.Google Scholar
Kreplin, H. & Eckelmann, M. 1979 Behavior of the three fluctuating velocity components in the wall region of a turbulent channel flow. Phys. Fluids 22, 1233–1239.Google Scholar
Kwak, D., Reynolds, W. C. & Ferziger, J. H. 1975 Three-dimensional time-dependent computation of turbulent flows. Dept Mech. Engng, Stanford Univ., Rep. TF-5.Google Scholar
Laufer, J. 1954 The structure of turbulence in fully developed pipe flow. NACA Rep. no. 1174.Google Scholar
Leonard, A. 1974 On the energy cascade in large-eddy simulations of turbulent fluid flows. Adv. Geophys. 18A, 237–248.Google Scholar
Mansour, N. N., Moin, P., Reynolds, W. C. & Ferziger, J. H. 1979 Improved methods for large eddy simulation of turbulence. In Turbulent Shear Flows I (ed. F. Durst, B. E. Launder & F. W. Schmidt), pp. 379–385. Springer.
Moin, P. & Kim, J. 1980 On the numerical solution of time-dependent, viscous, incompressible fluid flows involving solid boundaries. J. Comp. Phys., 35, 381–392.Google Scholar
Moin, P., Reynolds, W. C. & Ferziger, J. H. 1978 Large eddy simulation of incompressible turbulent channel flow. Dept Mech. Engng, Stanford Univ., Rep. TF-12.Google Scholar
Orszag, S. A. 1972 Comparison of pseudospectral and spectral approximation. Stud. Appl. Math. 51, 253–259.Google Scholar
Rajagopalan, S. & Antonia, R. A. 1979 Some properties of the large structure in a fully developed turbulent duct flow. Phys. Fluids 22, 614–622.Google Scholar
Runstadler, P. W., Kline, S. J. & Reynolds, W. C. 1963 An investigation of the flow structure of the turbulent boundary layer. Dept Mech. Engng, Stanford Univ., Rep. MD-8.Google Scholar
Sabot, J. & Comte-Bellot, G. 1976 Intermittency of coherent structures in the core region of fully developed turbulent pipe flow. J. Fluid Mech. 74, 1976, 767–796.Google Scholar
Schumann, U. 1973 Ein Verfahren zur direckten numerischen Simulation turbulenter Strömungen in Platten- und Ringspaltkanälen und über seine Anwendung zur Untersuchung von Turbulenzmodellen. Dissertation, Fac. Engng TH Karlsruhe, KFK 1854.
Schumann, U. 1975 Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli. J. Comp. Phys. 18, 376–404.Google Scholar
Schumann, U., Grötzbach, G. & Kleiser, L. 1980 Direct numerical simulation of turbulence. In Prediction Methods for Turbulent Shear Flows (ed. W. Kollmann), pp. 123–258. Hemisphere.
Shaanan, S., Ferziger, J. H. & Reynolds, W. C. 1975 Numerical simulation of turbulence in the presence of shear. Dept Mech. Engng, Stanford Univ., Rep. TF-6.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Van Driest, E. R. 1956 On turbulent flow near a wall. J. Aero. Sci. 23, 1007–1011.Google Scholar
Willmarth, W. W. 1965 Corrigendum to Willmarth & Wooldridge (1962). J. Fluid Mech. 21, 107–109.Google Scholar
Willmarth, W. W. 1975 Pressure fluctuations beneath turbulent boundary layers. Ann. Rev. Fluid Mech. 7, 13–38.Google Scholar
Willmarth, W. W. & Wooldridge, C. E. 1962 Measurement of the fluctuating pressure at the wall beneath a thick turbulent boundary layer. J. Fluid Mech. 14, 187–210.Google Scholar