Geodesic
Transformation of Narrowband Wavetrains of Surface Gravity Waves Passing over a Bottom Step
A. R. Giniyatullin1 ; A. A. Kurkin1 ; S. V. Semin1, 2 ; Y. A. Stepanyants1, 2
1 Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod, Russia
2 University of Southern Queensland, Toowoomba, Australia
Mathematical modelling of natural phenomena, Tome 9 (2014) no. 5, pp. 73-82.

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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.
DOI : 10.1051/mmnp/20149505

A. R. Giniyatullin 1 ; A. A. Kurkin 1 ; S. V. Semin 1, 2 ; Y. A. Stepanyants 1, 2

1 Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod, Russia
2 University of Southern Queensland, Toowoomba, Australia 
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A. R. Giniyatullin; A. A. Kurkin; S. V. Semin; Y. A. Stepanyants. Transformation of Narrowband Wavetrains of Surface Gravity Waves Passing over a Bottom Step. Mathematical modelling of natural phenomena, Tome 9 (2014) no. 5, pp. 73-82. doi : 10.1051/mmnp/20149505. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149505/

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