Skip to main content

A Comparison of Time-Stepping Numerical Predictions with Whole-Field Flow Measurement in Breaking Waves

  • Chapter
Water Wave Kinematics

Part of the book series: NATO ASI Series ((NSSE,volume 178))

Abstract

Instantaneous, full-field velocity measurements under the crest of a laboratory generated breaking wave are presented and compared with a fully non-linear time-stepping numerical model. A plunging breaker is generated, on constant water depth, using the numerical model, then reproduced in a wave flume by matching wave amplitude timeseries at a position just before the breaking. The generation of the waves is achieved by means of a computer controlled wave paddle and measurements of the flow made with a full-field photographic technique (PIV). The photographic records of the flow are analysed on an automatic rig and the measurements are shown to compare well with the numerical calculations.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Longuet-Higgins, M.S. and Cokelet, E.D. (1976) The Deformation of Steep Surface Waves in Water. A Numerical Method of Computation. Proc. Royal Soc. London, A. 350, 126.

    Google Scholar 

  2. Dold, J.W. and Peregrine, D. P. (1986) Numerical Methods for Fluid Dynamics II. Authors Morton, K.W. and Baines, M.J. Oxford University Press, 671–679.

    Google Scholar 

  3. Dommermuth, D.G., Yue, D.K.P., Lin, W.M., Rapp, R.J., Chan, E.S. and Melville, W.K. (1988) Deep-water Plunging breakers: a comparison between potential theory and experiments. J. Fluid Mech., 189, 423–442.

    Google Scholar 

  4. Van Dorn, W.G. and Pazan, S.E. (1975) Laboratory Investigation of Wave Breaking, Part 2, Deep Water Waves. Research Report, Advanced Ocean Engineering Laboratory, Scripps Institute of Oceanography, University of California, San Diego, S10 Ref. No. 75-21, AOFL Report £71.

    Google Scholar 

  5. Kjeldsen, S.P., Vinge R. and Brevig, P. (1980) Kinematics of Deep Water Breaking Waves. Proc. 12th Annual Offshore Technology Conference, Texas, 317–325.

    Google Scholar 

  6. Easson, W.J. and Greated, C.A. (1984) Breaking Wave Forces and Velocity Fields. Coastal Engineering, 8, 233–241.

    Article  Google Scholar 

  7. Easson, W.J. (1987) Velocity and Force Measurement in the Splash Zone. J. of Strain, Feb, 15–18.

    Google Scholar 

  8. Gray, C. Greated, C.A. and Fancy, N.A. (1987) The Application of PIV to Measurements Under Waves. 2nd Int. Conf. on Laser Anemometry, Strathclyde.

    Google Scholar 

  9. Gray, C. and Greated, C.A. (1988) The Application of PIV to the Study of Water Waves. Optic and Lasers in Engineering, 9.

    Google Scholar 

  10. Salter S.H. (1982) Absorbing Wave Makers and Wide Tanks. Proc. Conf. Directional Wave Spectra Applications, ASCE, 185–200.

    Google Scholar 

  11. Kjeldsen, S.P. (1982) 2 and 3 Dimensional Deterministic Freak Waves. Norwegian Hydrodynamic Laboratories Report, 1983.

    Google Scholar 

  12. Greenhow, M., Vinje, T., Brevig, P. and Tanylor, J. A theoretical and experimental study of the capsize of Salter’s Duck in extreme waves. J. Fluid Mech., 118, 221–239.

    Google Scholar 

  13. Hyun, J.S. (1976) Theory for Hinged Wavemakers of Finite Draft in Water of Constant Depth.

    Google Scholar 

  14. Lourenco, L. (1986) Theory and Application of Particle Image Displacement Velocimetry. in Lecture Series 1986 - 09, Von Karman Inst, of Fluid Dynamics, Brussels.

    Google Scholar 

  15. Sharpe, J.P., Gray, C., Greated, C.A. and Campbell, M. (1989) Measurements of Acoustic Streaming using PIV. Acoustica.

    Google Scholar 

  16. McCluskey, D.R., Easson, W.J., Greated, C.A. and Glass D. (1989) Use of Particle Image Velocimetry to Study Roping in Pneumatic Conveyence. 4th European Symposium in Particle Characterisation, Nuremberg, W. Germany.

    Google Scholar 

  17. Gray, C. and Greated, C.A. (1988) A Scanning Beam System for the Two Dimensional Illumination of Flow Fields. Von Karman Inst, of Fluid Dynamics, Belgium.

    Google Scholar 

  18. Sinha, S.K. (1988) Improving the Accuracy and Resolution of Particle Image or Laser Speckle Velocimetry. Experiments in Fluids, 6, 67–68.

    Article  Google Scholar 

  19. Burch, J.M. and Tokaxski, J.M.J. (1968) Production of Multiple Beam Fringes from Photographic Scatters. Optica Acta, Vol 15, No. 2, 101–11.

    Google Scholar 

  20. Robinson, D.W. (1983) Automatic Fringe Analysis with a Computer Image Processing System. Applied Optics, 22, 2169–2176.

    Article  Google Scholar 

  21. Moraitis, C.S., Buchlin, J.M. and Reithmuller, M.L. (1987) Improved Autocorrelation Analysis of Fringe Images for Laser Speckle Velocimetry. ICIASF June 22–25, 1987.

    Google Scholar 

  22. Huntley, J.M. (1986) An Image Processing System for the Analysis of Speckle Photographs. J. Physics. E. Sci. Intrum., 19.

    Google Scholar 

  23. Bracewell, R. N. (1986) The Fourier Transform and its Applications. McGraw-Hill.

    Google Scholar 

  24. Pickering, C.J.D. and Halliwell, N.A. (1985) Particle Image Velocimetry: Fringe Visibility and Pedestal Removal. Applied Optics, Vol 24, No. 6, 2474–2476

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Kluwer Academic Publisher

About this chapter

Cite this chapter

Skyner, D.J., Gray, C., Greated, C.A. (1990). A Comparison of Time-Stepping Numerical Predictions with Whole-Field Flow Measurement in Breaking Waves. In: Tørum, A., Gudmestad, O.T. (eds) Water Wave Kinematics. NATO ASI Series, vol 178. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0531-3_31

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-0531-3_31

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6725-6

  • Online ISBN: 978-94-009-0531-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics