Use of Theoretical Wave Height Distributions in Directional Seas

Abstract

Knowledge of total water levels, of which the heights of wind waves are an important part, is critical to the successful design of coastal shore protection projects. This report makes a preliminary examination of the behavior of two wave height distribution models using a small but diverse set of test data. Data are derived from a Waverider buoy deployed near the 8-m-depth contour about 1 km offshore of the CERC's Field Research Facility near Duck, NC. Data are classified by directional characteristics derived from a high-resolution, linear array, directional wave gage also located near the 8-m contour and just north of the Waverider buoy. The two models are the Rayleigh probability function and the Beta-Rayleigh probability function, introduced to address the problem of wave heights in shallow water. The Beta-Rayleigh model was used in three forms: a deepwater asymptotic form, the formally derived form, and a finite-depth form in which the governing parameters are estimated from the spectrally based characteristic wave height and peak period. Models were tested under the constraints that they be computed exactly as published and with no allowance to adjust parameters to reduce differences with observations. In spite of the stringent requirements of the tests, all models performed remarkably well.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1991
Accession Number
ADA240411

Entities

People

  • Charles E. Long

Organizations

  • Coastal Engineering Research Center

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Civil Engineering
  • Coastal Engineering
  • Engineering
  • Engineers
  • Frequency Bands
  • Linear Arrays
  • Mathematical Models
  • Measurement
  • Probability
  • Probability Density Functions
  • Regions
  • Research Facilities
  • Shallow Water
  • Shore Protection
  • Shores
  • Statistical Distributions
  • Storm Surges

Readers

  • Calculus or Mathematical Analysis
  • Coastal Oceanography
  • Computational Modeling and Simulation