ESTONIAN ACADEMY
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eesti teaduste
akadeemia kirjastus
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SINCE 1952
 
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proceedings
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
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Transformation of an irregular wave field along a quartic bottom profile; pp. 155–160

Full article in PDF format | doi: 10.3176/proc.2013.3.01

Authors
Ira Didenkulova, Efim Pelinovsky

Abstract

Random wave transformation in the basin of decreasing depth is studied for the case of a quartic bottom profile. The advantage of this bottom profile is that waves can propagate along it without inner reflection even if the bottom slope is not small. Wave transformation is studied analytically in the framework of shallow-water theory. Its rigorous solution is obtained in the class of random functions. The correlation function and its spectrum (energetic wave spectrum) are calculated. The behaviour of wave spectrum transformation in a basin of decreasing depth is studied in detail. It is demonstrated that the spectrum becomes upshifted while approaching the coast, with its high-frequency asymptotic ω –3.


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