Instabilities of Overturned Traveling Waves

Abstract

The instabilities of overturned traveling waves are determined by the use of spectral methods. Two separate numerical methods, Spectral Stability Analysis and Dynamic Stability Analysis, are used to assess the instabilities of branches of waves solved from conformally-mapped Euler equations. The branches of waves with Bond number less than two were found to be spectrally stable to super-harmonic perturbations. The branches of waves with Bond number in had some waves that were stable and some that were unstable. All overturned waves with Bond number greater than or equal to two were unstable.

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Document Details

Document Type
Technical Report
Publication Date
Jul 10, 2020
Accession Number
AD1151636

Entities

People

  • Tyler B. Pierce

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Capillary Waves
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Euler Equations
  • Fluid Mechanics
  • Mathematics
  • Mechanics
  • Theses
  • Three Dimensional
  • Traveling Waves
  • United States Government
  • Water Waves
  • Waves

Fields of Study

  • Mathematics

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