ON PREDICTION OF THE TURBULENT FLOW OVER A WAVY BOUNDARY

The importance of fluctuating turbulent stresses in the flow over a wave is examined. It is shown that anisotropic stresses, which are most likely to be turbulent Reynolds stresses, are essential to the process of energy flow to the wave. Two fundamentally different methods of predicting fluctuating turbulent Reynolds stresses are examined. One method makes use of a phenomenological closure of the conservation equation for the turbulent Reynolds stresses and is similar to the turbulent boundary-layer calculation scheme of Bradshaw, Ferriss and Atwell (1967). The second method is based on the assumption that the turbulent stresses are determined by the recent history of velocity shear experienced by a fluid parcel and results in a viscoelastic constitutive relation for the turbulence; in the limit of shortest 'memory' this relation becomes the eddy viscosity model proposed by Hussain and Reynolds(1970).

• Supplemental Notes:
  • Also published in The Journal of Fluid Mechanics, Volume 52, part 2, pages 287-306.
• Corporate Authors:

  Scripps Institution of Oceanography

  La Jolla, CA  United States 
• Authors:
  • Davis, R E
• Publication Date: 1971-5-30

Media Info

• Pagination: 22 p.

Subject/Index Terms

• TRT Terms: Reynolds stress; Turbulence; Water waves; Waveform analysis
• Old TRIS Terms: Reynolds stresses
• Subject Areas: Design; Hydraulics and Hydrology; Marine Transportation;

Filing Info

• Accession Number: 00035583
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: Reprint
• Contract Numbers: N00014-69-A02006006
• Files: TRIS
• Created Date: Oct 27 1973 12:00AM