Numerical investigation of turbulent channel flow

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.

[1]  J. Laufer,et al.  The Structure of Turbulence in Fully Developed Pipe Flow , 1953 .

[2]  F. Clauser.  The Structure of Turbulent Shear Flow , 1957, Nature.

[3]  W. Willmarth,et al.  Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer , 1962, Journal of Fluid Mechanics.

[4]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[5]  W. Willmarth.  Corrigendum: Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer , 1965, Journal of Fluid Mechanics.

[6]  F. A. Schraub,et al.  The structure of turbulent boundary layers , 1967, Journal of Fluid Mechanics.

[7]  J. Clark,et al.  A Study of Incompressible Turbulent Boundary Layers in Channel Flow , 1968 .

[8]  William K. Blake,et al.  Turbulent boundary-layer wall-pressure fluctuations on smooth and rough walls , 1970, Journal of Fluid Mechanics.

[9]  Francis H. Harlow,et al.  Transport Equations in Turbulence , 1970 .

[10]  J. Deardorff.  A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers , 1970, Journal of Fluid Mechanics.

[11]  J. Clark,et al.  Vortex Structures in Turbulent Boundary Layers , 1970, The Aeronautical Journal (1968).

[12]  Stephen J. Kline,et al.  The production of turbulence near a smooth wall in a turbulent boundary layer , 1971, Journal of Fluid Mechanics.

[13]  Steven A. Orszag,et al.  Comparison of Pseudospectral and Spectral Approximation , 1972 .

[14]  J. A. Elliott.  Microscale pressure fluctuations measured within the lower atmospheric boundary layer , 1972, Journal of Fluid Mechanics.

[15]  H. Eckelmann,et al.  Some properties of truncated turbulence signals in bounded shear flows , 1974, Journal of Fluid Mechanics.

[16]  A. Leonard.  Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows , 1975 .

[17]  U. Schumann.  Subgrid Scale Model for Finite Difference Simulations of Turbulent Flows in Plane Channels and Annuli , 1975 .

[18]  W. Willmarth,et al.  Pressure Fluctuations Beneath Turbulent Boundary Layers , 1975 .

[19]  Joel H. Ferziger,et al.  Three-dimensional time dependent computation of turbulent flow , 1975 .

[20]  S. Shaanan.  Numerical simulation of turbulence in the presence of shear , 1975 .

[21]  William C. Reynolds,et al.  Measurements in fully developed turbulent channel flow , 1975 .

[22]  G. Comte-Bellot,et al.  Intermittency of coherent structures in the core region of fully developed turbulent pipe flow , 1976, Journal of Fluid Mechanics.

[23]  Joel H. Ferziger,et al.  Large eddy simulation of incompressible turbulent channel flow , 1978 .

[24]  R. Antonia,et al.  Some properties of the large structure in a fully developed turbulent duct flow , 1979 .

[25]  Helmut Eckelmann,et al.  Behavior of the three fluctuating velocity components in the wall region of a turbulent channel flow , 1979 .

[26]  Joel H. Ferziger,et al.  Improved Methods for Large Eddy Simulations of Turbulence , 1979 .

[27]  Dean R. Chapman,et al.  Computational Aerodynamics Development and Outlook , 1979 .

[28]  Ulrich Schumann,et al.  Direct Numerical Simulation of Turbulent Velocity, Pressure, and Temperature Fields in Channel Flows , 1979 .

[29]  U. Schumann,et al.  Direct numerical simulation of turbulence , 1979 .

[30]  T. Tatsumi.  Theory of Homogeneous Turbulence , 1980 .

[31]  R. Falco,et al.  The production of turbulence near a wall , 1980 .

[32]  Parviz Moin,et al.  On the numerical solution of time-dependent viscous incompressible fluid flows involving solid boundaries , 1980 .

[33]  M. Antonopoulos-Domis,et al.  Large-eddy simulation of a passive scalar in isotropic turbulence , 1981, Journal of Fluid Mechanics.