Fourier, Scattering, and Wavelet Transforms: Applications to Internal Gravity Waves with Comparisons to Linear Tidal Data

Abstract

Analysis of tides and internal waves from model studies in the South China Sea is done using three techniques. We summarize results from standard Fourier methods, continuous wavelet analysis and the direct scattering transform. Because the Fourier and wavelet analysis arc inherently linear methods their utility in application to nonlinear dynamics is often questioned. Nevertheless, they have shown to he useful in delineating first order dynamics (for example finding fundamental modes). On the other hand the scattering transform, sometimes described as a nonlinear Fourier technique, can in some cases succeed in elucidating non-linear dynamics where linear methods have proven less successful. We apply these procedures to model results from Lamb's 2D non-hydrostatic model applied to the South China Sea and in some cases the multi-component tides used to force the Lamb model.

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Document Details

Document Type
Technical Report
Publication Date
Oct 09, 2009
Accession Number
ADA507435

Entities

People

  • Alex C. Warn-varnas
  • Ivan P. Christov
  • James A. Hawkins

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Data Sets
  • Discrete Fourier Transforms
  • Dynamics
  • Fourier Series
  • Frequency
  • Gravity
  • Gravity Waves
  • Internal Waves
  • Inverse Problems
  • Military Research
  • Oceans
  • Scattering
  • Solitons
  • South China Sea
  • Waveforms
  • Wavelet Transforms
  • Waves

Readers

  • Coastal Oceanography
  • Systems Analysis and Design
  • Wave Propagation and Nonlinear Chaotic Dynamics.