Breaking Wave Criterion on a Sloping Beach.

Abstract

The various wave theories, theoretical breaking criteria and derived breaking criteria are reviewed for shallow water waves. To account for the non-linear hydrodynamics present in a shallow water wave breaking on a beach with a sloping bottom, the perturbation technique of Iwagaki and Sakai is used to derive a second order expression for the horizontal water particle velocity for long waves. The kinematic breaking criterion is applied to the derived c(2) and u(2) values to establish breaking. The results indicate that the ratios of eta(b)/L(o) and h(b)/H(o) provide reliable breaking criteria. Each of the parameters is dependent only upon beach slope and h(o)/L(o). Theoretically derived values for h(b)/H(o) compare favorably with field measurements and offer significant improvement over previous theory. Predicted breaking depths are less than those present in experimental data, suggesting extension to higher orders may be warranted. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1976
Accession Number
ADA032323

Entities

People

  • Richard Markley Smith

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Beach Erosion
  • Bessel Functions
  • Coastal Engineering
  • Computational Science
  • Computer Programs
  • Fluid Mechanics
  • Fluids
  • Mathematics
  • Measurement
  • Mechanics
  • Particles
  • Pressure Gradients
  • Shallow Water
  • Solitons
  • Water
  • Water Waves
  • Waves

Readers

  • Coastal Oceanography
  • Computational Modeling and Simulation