Steep Gravity Waves: Havelock's Method Revisited.

Abstract

Gravity waves propagating at the surface of a fluid of infinite depth are considered. The problem is formulated in terms of a series expansion due to Havelock. The series is truncated after a finite number of terms and the unknown coefficients are found by collocation. It is shown that this simple numerical procedure yields accurate results for waves of arbitrary steepness. Keywords: Surface waves; Free surface flows; Collocation; Steep water waves; Integro-differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1986
Accession Number
ADA167520

Entities

People

  • Jean-marc Vanden-broeck

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Analytic Functions
  • Cartesian Coordinates
  • Coefficients
  • Contracts
  • Differential Equations
  • Equations
  • Gravity
  • Gravity Waves
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • Surface Waves
  • United States
  • Universities
  • Waves
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)