Parabolic Wave Equation for Surface Water Waves.

Abstract

In this report, the mild-slope equation describing the combined refraction and diffraction of small amplitude water waves is re-derived and reviewed. The relationship between the mild-slope equation and the ray theory is presented. The physical justifications for the parabolic approximation are then discussed. Parabolic wave equations in various forms are derived to investigate the effects of energy dissipation, reflection, and nonlinearity. Keywords: Mathematical models; Hydrodynamics; Water wave propagation; Water wave diffraction; Water wave refraction.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1986
Accession Number
ADA175674

Entities

People

  • Philip L. Liu

Organizations

  • Coastal Engineering Research Center

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Value Problems
  • Coastal Engineering
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Diffraction
  • Electromagnetic Wave Propagation
  • Engineering
  • Engineers
  • Equations
  • Helmholtz Equations
  • Reflection
  • Water Waves
  • Wave Equations
  • Wave Propagation
  • Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Wave Propagation and Nonlinear Chaotic Dynamics.