Energy of tsunami waves generated by bottom motion

被引：41

作者：

Dutykh, Denys ^{[1
]}

Dias, Frederic ^{[1
]}

机构：

[1] ENS Cachan, CMLA, CNRS, PRES UniverSud, F-94230 Cachan, France

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2009年 / 465卷 / 2103期

关键词：

water waves; shallow-water equations; tsunami energy; WATER-WAVES; 26; DECEMBER; DISLOCATIONS; PROPAGATION; RECORDS; OCEAN;

D O I：

10.1098/rspa.2008.0332

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：

In the vast literature on tsunami research, few articles have been devoted to energy issues. A theoretical investigation on the energy of waves generated by bottom motion is performed here. We start with the full incompressible Euler equations in the presence of a free surface and derive both dispersive and non-dispersive shallow-water equations with an energy equation. It is shown that dispersive effects appear only at higher order in the energy budget. Then we solve the Cauchy Poisson problem of tsunami generation for the linearized water-wave equations. Exchanges between potential and kinetic energies are clearly revealed.

引用

页码：725 / 744

页数：20

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