Enhanced computational methods for nonlinear hamiltonian wave dynamics. Part II: New results

J. F. Willemsen

doi:10.1175/1520-0426(2001)018<0775:ECMFNH>2.0.CO;2

Enhanced computational methods for nonlinear hamiltonian wave dynamics. Part II: New results

J. F. Willemsen

Ocean Sciences

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

It has been noted that the nonlinear Hamiltonian dynamical equations describing surface waves are of convolution form in a version derived by Krasitskii, and thus they are amenable to numerical calculations using fast Fourier transform techniques. In this paper new results regarding the nature of the solutions are presented and numerical instabilities that may develop are discussed. Additionally various ways of displaying features of the nonlinear wave evolution are explored within the context of specific examples.

Original language	English (US)
Pages (from-to)	775-790
Number of pages	16
Journal	Journal of Atmospheric and Oceanic Technology
Volume	18
Issue number	5
DOIs	https://doi.org/10.1175/1520-0426(2001)018<0775:ECMFNH>2.0.CO;2
State	Published - May 2001

ASJC Scopus subject areas

Ocean Engineering
Atmospheric Science

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abstract = "It has been noted that the nonlinear Hamiltonian dynamical equations describing surface waves are of convolution form in a version derived by Krasitskii, and thus they are amenable to numerical calculations using fast Fourier transform techniques. In this paper new results regarding the nature of the solutions are presented and numerical instabilities that may develop are discussed. Additionally various ways of displaying features of the nonlinear wave evolution are explored within the context of specific examples.",

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