A new approximation for ocean waves propagating over a beach with variable depth

被引:4
作者
Jeng, DS [1 ]
Seymour, BR
机构
[1] Univ Sydney, Dept Civil Engn, Sydney, NSW 2006, Australia
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
基金
澳大利亚研究理事会;
关键词
shallow water expansion; variable water depth; ocean waves; wave propagation;
D O I
10.1016/j.oceaneng.2005.01.004
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
In this paper, the phenomenon of ocean waves propagating over a beach with variable water depth is re-examined. Based on the assumption of shallow water, a linearised shallow water equation is solved with an arbitrary beach profile. These irregular beach profiles form a set of partial differential equation with variable. coefficient as the governing equation, which is the main obstacle in obtaining analytical solutions. In this paper, two families of beach profile are used as examples: A parametric study is conducted to investigate the influence of the beach profiles on the water surface elevation (B) and velocities (u). (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1906 / 1916
页数:11
相关论文
共 14 条
[1]   GRAVITY WAVES ON WATER OF VARIABLE DEPTH [J].
CARRIER, GF .
JOURNAL OF FLUID MECHANICS, 1966, 24 :641-&
[2]   WATER WAVES OF FINITE AMPLITUDE ON A SLOPING BEACH [J].
CARRIER, GF ;
GREENSPAN, HP .
JOURNAL OF FLUID MECHANICS, 1958, 4 (01) :97-109
[3]  
CHEN YY, 1982, P 18 INT C COAST ENG, P811
[4]   Wave parameter tuning for the application of the mild-slope equation on steep beaches and in shallow water [J].
Ehrenmark, UT ;
Williams, PS .
COASTAL ENGINEERING, 2001, 42 (01) :17-34
[5]   Wave evolution over submerged sills: tests of a high-order Boussinesq model [J].
Gobbi, MF ;
Kirby, JT .
COASTAL ENGINEERING, 1999, 37 (01) :57-96
[6]   A parabolic equation extended to account for rapidly varying topography [J].
Hsu, TW ;
Wen, CC .
OCEAN ENGINEERING, 2001, 28 (11) :1479-1498
[7]   SURFACE WAVES ON WATER OF NON-UNIFORM DEPTH [J].
KELLER, JB .
JOURNAL OF FLUID MECHANICS, 1958, 4 (06) :607-614
[8]  
LEMEHAUTE H, 1964, P 9 INT C COAST ENG, P23
[9]   AN EVOLUTION EQUATION FOR WATER-WAVES [J].
LI, B .
COASTAL ENGINEERING, 1994, 23 (3-4) :227-242
[10]   Parabolic model for water waves [J].
Li, B .
JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERING-ASCE, 1997, 123 (04) :192-199