Enhanced computational methods for nonlinear Hamiltonian wave dynamics

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

It is noted that the nonlinear Hamiltonian dynamical equations describing surface waves are of convolution form in a version derived by Krasitskii. By virtue of the convolution theorem for Fourier transforms, the dynamical equations are thus amenable to numerical calculations using FFT techniques. This, as is well known, renders the calculations much faster than direct numerical integration, of order N logN steps versus N2 per convolution integral for N discrete wavenumbers. An illustrative calculation for pure gravity waves in deep water is presented and discussed.

Original languageEnglish (US)
Pages (from-to)1516-1522
Number of pages7
JournalJournal of Atmospheric and Oceanic Technology
Volume15
Issue number6
DOIs
StatePublished - Jan 1 1998

Fingerprint

Hamiltonians
nonlinear wave
Computational methods
Convolution
Gravity waves
gravity wave
Fast Fourier transforms
Surface waves
surface wave
Fourier transform
Fourier transforms
deep water
calculation
method
Water

ASJC Scopus subject areas

  • Ocean Engineering
  • Atmospheric Science

Cite this

Enhanced computational methods for nonlinear Hamiltonian wave dynamics. / Willemsen, Jorge.

In: Journal of Atmospheric and Oceanic Technology, Vol. 15, No. 6, 01.01.1998, p. 1516-1522.

Research output: Contribution to journalArticle

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