Estimation of Wave Run-up on Smooth, Impermeable Slopes using the Wave Momentum Flux Parameter

Abstract

This paper re-examines existing wave run-up data for regular, irregular and solitary waves on smooth, impermeable plane slopes. A simple physical argument is used to derive a new wave run-up equation in terms of a dimensionless wave parameter representing the maximum, depth-integrated momentum flux in a wave as it reaches the toe of the structure slope. This parameter is a physically relevant descriptor of wave forcing having units of force. The goal of the study was to provide an estimation technique that was as good as existing formulas for breaking wave run-up and better at estimating nonbreaking wave run-up. For irregular waves breaking on the slope, a single formula for the 2% run-up elevation proved sufficient for all slopes in the range 2/3less thantanalphaless than1/30. A slightly different formula is given for nonbreaking wave run-up. In addition, two new equations for breaking and nonbreaking solitary maximum wave run-up on smooth, impermeable plane slopes are presented in terms of the wave momentum flux parameter for solitary waves. This illustrates the utility of the wave momentum flux parameter for nonperiodic waves.

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Document Details

Document Type
Technical Report
Publication Date
Jul 16, 2004
Accession Number
ADA483144

Entities

People

  • Steven A. Hughes

Organizations

  • Engineer Research and Development Center

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Army Corps Of Engineers
  • Beach Erosion
  • Breakwaters
  • Civil Engineering
  • Coastal Engineering
  • Data Sets
  • Engineering
  • Engineers
  • Fluid Mechanics
  • Frequency
  • Frequency Domain
  • Measurement
  • Momentum
  • Regions
  • Shore Protection
  • Shores
  • Solitons

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis