Propagation of weakly nonlinear internal waves in a stratified fluid of finite depth
Propagation of weakly nonlinear internal waves in a stratified fluid of finite depth
- Neue Suche nach: Kubota, T.
- Neue Suche nach: Ko, D.R.
- Neue Suche nach: Dobbs, L.
- Neue Suche nach: Kubota, T.
- Neue Suche nach: Ko, D.R.
- Neue Suche nach: Dobbs, L.
This paper presents an analytical investigation of the propagation of a weakly-nonlinear, long internal gravity wave in a stratified medium of finite total depth. The governing equation is derived and shown to reduce to the KdV equation in the shallow-water limit and to the Benjamin/Ono equation in the deep-water limit. The equation is also shown to possess four conserved quantities, just as was the case for the deep-water waves considered by Ono. The equation suggests the existence of a steady-state waveform described by two parameters which degenerates into the one-parameter, steady-state waveforms discussed by Benjamin. A numerical approach using Fornberg's pseudo-spectral method is used to examine the solution. The results demonstrate the existence of a solitary-wave-like steady-state solution with a soliton-like behavior. The effect of finite water depth on the waveform and the wave speed of the steady-state solitary waves is discussed. (DePo)
Dokumentinformationen
Propagation of weakly nonlinear internal waves in a stratified fluid of finite depth
Fortpflanzung schwacher nichtlinearer Innenwellen in einer geschichteten Fluessigkeit endlicher Tiefe
AIAA-Papers ; 1-10
1978
10 Seiten, 10 Bilder, 10 Quellen
Aufsatz (Konferenz)
Englisch