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 language | English (US) |
|---|---|
| Pages (from-to) | 1516-1522 |
| Number of pages | 7 |
| Journal | Journal of Atmospheric and Oceanic Technology |
| Volume | 15 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jan 1 1998 |
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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 journal › Article
}
TY - JOUR
T1 - Enhanced computational methods for nonlinear Hamiltonian wave dynamics
AU - Willemsen, Jorge
PY - 1998/1/1
Y1 - 1998/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=11744362423&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=11744362423&partnerID=8YFLogxK
U2 - 10.1175/1520-0426(1998)015<1516:ECMFNH>2.0.CO;2
DO - 10.1175/1520-0426(1998)015<1516:ECMFNH>2.0.CO;2
M3 - Article
AN - SCOPUS:11744362423
VL - 15
SP - 1516
EP - 1522
JO - Journal of Atmospheric and Oceanic Technology
JF - Journal of Atmospheric and Oceanic Technology
SN - 0739-0572
IS - 6
ER -