Runup of nonlinear asymmetric waves on a plane beach

被引:40
作者
Didenkulova, Irina [1 ]
Pelinovsky, Efim [1 ]
Soomere, Tarmo [2 ]
Zahibo, Narcisse [3 ]
机构
[1] Inst Appl Phys, Nizhnii Novgorod, Russia
[2] Inst Cybernet, Tallinn, Estonia
[3] Univ Antilles Guyane, Pointe A Pitre, Guadeloupe, France
来源
TSUNAMI AND NONLINEAR WAVES | 2007年
关键词
D O I
10.1007/978-3-540-71256-5_8
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
The problem of the long wave runup on a beach is discussed in the framework of the rigorous solutions of the nonlinear shallow-water theory. The key and novel moment here is the analysis of the runup of a certain class of asymmetric waves, the face slope steepness of which exceeds the back slope steepness. Shown is that the runup height increases when the relative face slope steepness increases whereas the rundown weakly depends on the steepness. The results partially explain why the tsunami waves with the steep front (as it was for the 2004 tsunami in the Indian Ocean) penetrate deeper into inland compared with symmetric waves of the same height and length.
引用
收藏
页码:175 / +
页数:3
相关论文
共 28 条
[1]   Bore formation, evolution and disintegration into solitons in shallow inhomogeneous channels [J].
Caputo, JG ;
Stepanyants, YA .
NONLINEAR PROCESSES IN GEOPHYSICS, 2003, 10 (4-5) :407-424
[2]   Tsunami run-up and draw-down on a plane beach [J].
Carrier, GF ;
Wu, TT ;
Yeh, H .
JOURNAL OF FLUID MECHANICS, 2003, 475 :79-99
[3]   WATER WAVES OF FINITE AMPLITUDE ON A SLOPING BEACH [J].
CARRIER, GF ;
GREENSPAN, HP .
JOURNAL OF FLUID MECHANICS, 1958, 4 (01) :97-109
[4]   Steepness and spectrum of a nonlinearly deformed wave on shallow waters [J].
Didenkulova, I. I. ;
Zahibo, N. ;
Kurkin, A. A. ;
Pelinovsky, E. N. .
IZVESTIYA ATMOSPHERIC AND OCEANIC PHYSICS, 2006, 42 (06) :773-776
[5]  
DIDENKULOVA II, 2005, RUSSIAN ACAD ENG SCI, V14, P91
[6]  
Kaistrenko V.M., 1991, INT J TSUNAMI SOC, V9, P115
[7]   Nonlinear evolution and runup-rundown of long waves over a sloping beach [J].
Kânoglu, U .
JOURNAL OF FLUID MECHANICS, 2004, 513 :363-372
[8]  
KAPINSKI J, 2006, IN PRESS MODELING LO
[9]   Solitary wave runup on plane slopes [J].
Li, Y ;
Raichlen, F .
JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERING-ASCE, 2001, 127 (01) :33-44
[10]  
Mazova R.Kh., 1991, ROZPRAWY HYDROTECHNI, V54, P71