Transformation of an irregular wave field along a quartic bottom profile

被引：0

作者：

Didenkulova, Ira ^{[1
,2
,3
]}

Pelinovsky, Efim ^{[3
,4
,5
,6
]}

机构：

[1] Tallinn Univ Technol, Inst Cybernet, Ctr Nonlinear Studies, EE-12618 Tallinn, Estonia

[2] MARUM Ctr Marine Environm Sci, D-28359 Bremen, Germany

[3] Nizhnii Novgorod State Tech Univ, Dept Appl Math, Nizhnii Novgorod 603950, Russia

[4] Natl Res Univ, Dept Informat Syst, Higher Sch Econ, Nizhnii Novgorod 603950, Russia

[5] Inst Appl Phys, Dept Nonlinear Geophys Proc, Nizhnii Novgorod 603950, Russia

[6] Johannes Kepler Univ Linz, Inst Anal, A-4040 Linz, Austria

来源：

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2013年 / 62卷 / 03期

基金：

奥地利科学基金会;

关键词：

waves; coastal zone; wave spectra; shallow water theory; quartic bottom profile; ROGUE WAVES; REFLECTIONLESS PROPAGATION; ACOUSTIC-WAVES;

D O I：

10.3176/proc.2013.3.01

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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. omega(-3).

引用

页码：155 / 160

页数：6

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