A Model for the Propagation of Nonlinear Surface Waves over Viscous Muds

Abstract

The effect of a thin viscous fluid -mud layer on nearshore nonlinear wave -wave interactions is studied using a parabolic frequency-domain nonlinear wave model, modified to incorporate a bottom dissipation mechanism based on a viscous boundary layer approach. The boundary-layer formulation allows for explicit calculation of the mud-induced wave damping rate. The model performed well in tests based on laboratory data. Numerical tests show that damping of high frequency waves occurs, mediated by "difference" nonlinear interactions. Simulations of 2-dimensional wave propagation over a mud "patch" of finite extent show that the wave dissipation causes significant downwave diffraction effects.

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Document Details

Document Type
Technical Report
Publication Date
Jul 05, 2007
Accession Number
ADA482175

Entities

People

  • Alexandru Sheremet
  • James M. Kaihatu
  • K. T. Holland

Organizations

  • Texas A&M University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Civil Engineering
  • Coastal Engineering
  • Diffraction
  • Dispersion Relations
  • Doppler Effect
  • Electrical Solitons
  • Energy Transfer
  • Engineering
  • Fluid Mechanics
  • Frequency
  • Frequency Domain
  • Mechanics
  • Surface Waves
  • Two Dimensional
  • Wave Propagation

Readers

  • Coastal Oceanography
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)