Hostname: page-component-76c49bb84f-xk4dl Total loading time: 0 Render date: 2025-07-11T09:13:34.485Z Has data issue: false hasContentIssue false
  • English
  • Français

Interaction of surface waves with turbulence: direct numerical simulations of turbulent open-channel flow

Published online by Cambridge University Press:  26 April 2006

Vadim Borue ,
Steven A. Orszag  and
Ilya Staroselsky
Vadim Borue
Affiliation:
Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA
Steven A. Orszag
Affiliation:
Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA
Ilya Staroselsky
Affiliation:
Cambridge Hydrodynamics, Inc., PO Box 1403, Princeton, NJ 08542, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

We report direct numerical simulations of incompressible unsteady open-channel flow. Two mechanisms of turbulence production are considered: shear at the bottom and externally imposed stress at the free surface. We concentrate upon the effects of mutual interaction of small-amplitude gravity waves with in-depth turbulence and statistical properties of the near-free-surface region. Extensions of our approach can be used to study turbulent mixing in the upper ocean and wind–sea interaction, and to provide diagnostics of bulk turbulence.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 286 , 10 March 1995 , pp. 1 - 23
Copyright
© 1995 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.)

Article purchase

Temporarily unavailable

References

Brumley, B. H. & Jirka, G. H. 1987 Near-surface turbulence in a grid-stirred tank. J. Fluid Mech. 183, 235.Google Scholar
Canuto, C., Hussaini, M., Quarteroni, A. & Zang, T. 1987 Spectral Methods in Fluid Dynamics. Springer.
Celik, I. & Rodi, W. 1984 Simulation of free-surface effects in turbulent channel flows. Phys. Chem. Hydrodyn. 5, 217.Google Scholar
Dean, R. B. 1978 Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow. Trans. ASME I: J. Fluids Engng 100, 215.Google Scholar
Gibson, M. M. & Rodi, W. 1989 Simulation of free surface effects on turbulence with a Reynolds stress model. J. Hydraul. Res. 27, 233.Google Scholar
Handler, R. A., Swearingen, J. D., Swean, T. F. & Leighton, R.I. 1991 Length scales of turbulence near a free surface. AIAA Paper 91-1775.
Hunt, J. C. R. & Graham, J. M. R. 1978 Free-stream turbulence near plane boundaries. J. Fluid Mech. 84, 209.Google Scholar
Jackson, E., She, Z. & Orszag, S. 1991 A case study in parallel computing: I. Homogeneous turbulence on a hypercube. J. Sci. Comput. 6, 27.Google Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133.Google Scholar
Kirkgoz, M. S. 1989 Turbulent velocity profiles for smooth and rough open channel flow. J. Hydraul. Engng ASCE 115, 1543.Google Scholar
Kreplin, H. & Eckelmann, H. 1979 Behavior of the three fluctuating velocity components in the wall region of a turbulent boundary layer. Phys. Fluids 22, 1233.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1987 Fluid Mechanics. Pergamon.
Leighton, R. I., Swean, T. F., Handler, R. A. & Swearingen, J. D. 1991 Interaction of vorticity with a free surface in turbulent open channel flow. AIAA Paper 91-0236.
Nezu, I. & Rodi, W. 1986 Open channel flow measurements with a laser Doppler anemometer. J. Hydraul. Engng ASCE 112, 335.Google Scholar
Phillips, O. M. 1977 The Dynamics of the Upper Ocean. Cambridge University Press.
Phillips, O. M. 1985 Spectral and statistical properties of the equilibrium range in wind-generated gravity waves. J. Fluid Mech. 156, 505.Google Scholar
Swean, T. F., Leighton, R. I., Handler, R. A. & Swearingen, J. D. 1991 Turbulence modeling near the free surface in an open channel flow. AIAA Paper 91-0613.
Ueda, H., Möller, R., Komori, S. & Mizushina, T. 1977 Eddy diffusivity near the free surface of open channel flow. Intl J. Heat Mass Transfer 20, 1127.Google Scholar
Yakhot, V., Orszag, S. A., Thangam, S., Gatski, T. B. & Speciale, C. G. 1992 Development of turbulence models for shear flows by a double expansion technique. Phys. Fluids A 4, 1510.Google Scholar