Finite-Amplitude Steady Waves in Stratified Fluids.

Abstract

An exact theory regarding solitary internal gravity waves in stratified fluids is presented. Two-dimensional, inviscid, incompressible flows confined between plane horizontal rigid boundaries are considered. Variational techniques are used to demonstrate that the Euler equations possess solutions that represent progressing waves of permanent form. These are analogous to the surface, solitary waves so easily generated in a flume. Periodic wave trains of permanent form, the analogue of the classical cnoidal waves, are also found. Moreover, internal solitary-wave solutions are shown to arise as the limit of cnoidal wave trains as the period length grows unboundedly. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1982
Accession Number
ADA120960

Entities

People

  • D. K. Bose
  • J. L. Bona
  • R. E. L. Turner

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Base Flow
  • Boundaries
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Euler Equations
  • Flow
  • Fluid Flow
  • Internal Waves
  • Plastic Explosives
  • Solitons
  • Stratified Fluids
  • Two Dimensional
  • United States
  • Variational Principles
  • Waveforms

Fields of Study

  • Mathematics

Readers

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