I.Brovchenko, V.Maderich, S.Semin, Y.Stepanyants, K.Terletska
Modeling of transformation of surface wave packets interacting with abrupt bottom changes

Applied hydromechanics, Vol. 17 (89) ¹ 1, (2015) p.3-9
The paper presents results of numerical modelling on interaction of linear surface wavetrains with a bottom step. Small-amplitude wavetrains with different wavelengths are examined. Dependence of the transformation coefficients (transmission and reflection coefficients) of surface waves on the ratio of the depths before and after the step is obtained. Applicability of the hydrostatic approximation to simulation of wave transformation is discussed. It is shown that the hydrostatic model can be used for the modelling of wavetrains with sufficiently long career waves. Transformation coefficients obtained in this case are in a good agreement with analytical formulae. The results obtained on the basis of earlier developed numerical code are in agreement with results obtained by means of freely available package ̲Tgcm.
KEY WORDS:
numerical modeling, surface waves, wave packets
TEXT LANGUAGE: Russian