On the Modeling of Wave-Current Interaction Using the Elliptic Mild-Slope Wave Equation

Abstract

This document develops methods to incorporate the effect of ambient currents in the prediction of nearshore wave transformation through the construction of a finite-element coastal/harbor wave model based on an extended mild-slope wave current equation that includes wave breaking. The methods are tested against results from other types of models based on parabolic approximations or Boussinesq equations for three wave current problems of common interest and varying complexity. While indicating good agreement in general, the analysis also highlights the limitations of parabolic approximation models in case of strong local currents and velocity shear. Also considered is the harbor engineering problem pertaining to waves approaching an inlet with a jettied entrance, where wave current interaction can create a complex wave pattern that adversely affects small craft navigation and causes scouring. The role of ebb and flood currents on wave transformation and on breaking in the vicinity of the inlet is investigated using the model in conjunction with hydraulic laboratory data. It is found that although the ebb currents cause larger waves outside the inlet, much of the wave energy is soon dissipated due to breaking; during the flood tide, in contrast, more wave energy can penetrate into the inlet throat.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2005
Accession Number
ADA593723

Entities

People

  • Vijay Panchang
  • Wei Chen
  • Zeki Demirbilek

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Coastal Engineering
  • Coastal Regions
  • Coordinate Systems
  • Diffraction
  • Dispersion Relations
  • Doppler Effect
  • Engineering
  • Equations
  • Geometry
  • Linear Systems
  • Shallow Water
  • Standing Waves
  • Two Dimensional
  • Water Waves
  • Wave Equations
  • Wave Power
  • Wave Propagation

Readers

  • Calculus or Mathematical Analysis
  • Coastal Oceanography