| Issue |
Math. Model. Nat. Phenom.
Volume 9, Number 5, 2014
Spectral problems
|
|
|---|---|---|
| Page(s) | 73 - 82 | |
| DOI | https://doi.org/10.1051/mmnp/20149505 | |
| Published online | 17 July 2014 | |
Transformation of Narrowband Wavetrains of Surface Gravity Waves Passing over a Bottom Step
1 Nizhny Novgorod State Technical
University n.a. R.E. Alekseev, Nizhny
Novgorod, Russia
2 University of Southern Queensland,
Toowoomba,
Australia
⋆
The authors adhere the principle of alphabetical order of the names.
Corresponding author. E-mail: Yury.Stepanyants@usq.edu.au
The problem of transformation of quasimonochromatic wavetrains of surface gravity waves with narrow spatial-temporal spectra on the bottom shelf is considered in the linear approximation. By means of numerical modeling, the transmission and reflection coefficients are determined as functions of the depth ratio and wave number (frequency) of an incident wave. The approximation formulae are proposed for the coefficients of wave transformation. The characteristic features of these formulae are analyzed. It is shown that the numerical results agree quite satisfactorily with the proposed approximation formulae.
Mathematics Subject Classification: 35Q35 / 65Y20 / 74J05 / 74J15 / 76B15 / 86-08
Key words: wavetrain / wave transformation / numerical modeling / quasimonochromatic wave / reflected and transmitted waves / bottom step
© EDP Sciences, 2014
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