Skip to main content
SpringerLink
Log in

Internal gravity waves in the Strait of Luzon: Dispersion studies using Fourier and continuous wavelet transforms

  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

Investigation of the dynamics of internal gravity waves often includes the interrelationship between wave amplitudes, wave speeds, and wavelengths. These relationships are commonly thought of as dispersion relations. Because internal gravity waves are the result of nonlinear dynamics dispersion relations are a challenge to obtain in a quantitative sense. Model data for internal gravity waves in the Strait of Luzon are examined using Fourier and continuous wavelet transforms. Dispersion is qualitatively evident in the results and the investigation is extended to include quantitative assessment of the dispersion. The results are compared to results from Korteweg D’Vries theory. Good agreement is obtained for dispersion estimates using wavelet analysis and those from KdV theory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • K.R. Helfrich, W.K. Melville, Annu. Rev. Fluid Mech. 38, 395 (2006)

    Google Scholar 

  • T. Gerkema, Ph.D. thesis, Utrecht University, 1994

  • J.R. Apel, Am. Met. Soc. 33, 2247 (2003)

    Google Scholar 

  • J.A. Hawkins, A. Warn-Varnas, I. Christov, in Nonlinear Time Series Analysis in the Geosciences, edited by R.V. Donner, S.M. Barbosa (Springer, Berlin, 2008), pp. 223–244

  • K.G. Lamb, J. Geo. Res. 99, 848 (1994)

    Google Scholar 

  • A.W. Varna, J. Hawkins, K. Lamb, S. Piacsek, S. Chin-Bing, D. King, G. Burgos, J. Ocean Modelling (in review)

  • J.R. Apel, F.I. Gonzalez, J. Geophys. Res. 88, 4459 (1983)

    Google Scholar 

  • C. Torrence, G.P. Compo, Bull. Am. Met. Soc. 79, 61 (1998)

    Google Scholar 

  • Matlab: Signal Processing Toolbox, Version 6, The MathWorks, Inc. (2002)

  • P. Kumar, E. Foufoula-Georgiou, in Wavelets in Geophysics, edited by E. Foufoula-Georgiou, P. Kumar (Academic Press, San Diego, 1994), pp. 1–45

  • L.H. Kantha, C.A. Clayson, in Numerical Models of Oceans and Oceanic Processes, edited by L.H. Kantha, C.A. Clayson (Academic Press, San Diego, 2000), pp. 786–818

  • S.D. Meyers, B.G. Kelly, J. O’Brien, Monthly Weather Rev. 121, 2858 (1993)

    Google Scholar 

  • T.F. Duda, J.F. Lynch, A.E. Newhall, L. Wu, C.-S. Chu, IEEE J. Oceanic Eng. 29, 1264 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Planning Systems Inc., 70458, Slidell, LA, USA

    J. A. Hawkins

  2. Naval Research Laboratory, Stennis, MS, USA

    A. Warn-Varnas

Authors
  1. J. A. Hawkins
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Warn-Varnas
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. A. Hawkins.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hawkins, J., Warn-Varnas, A. Internal gravity waves in the Strait of Luzon: Dispersion studies using Fourier and continuous wavelet transforms. Eur. Phys. J. Spec. Top. 174, 227–236 (2009). https://doi.org/10.1140/epjst/e2009-01103-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2009-01103-x

Keywords

Search

Navigation