LARGE-SCALE VORTICITY GENERATION DUE TO DISSIPATING WAVES IN THE SURF ZONE

被引:43
作者
Bonneton, Philippe [1 ]
Bruneau, Nicolas [1 ]
Castelle, Bruno [1 ]
Marche, Fabien [2 ]
机构
[1] Univ Bordeaux 1, CNRS, EPOC, UMR 5805, F-33405 Talence, France
[2] Univ Montpellier 2, Inst Mathemat & Modelisat Montpellier, CC 051, F-34095 Montpellier 5, France
来源
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2010年 / 13卷 / 04期
关键词
Surf zone; Shallow water; Wave-induced current; Rip current; Vorticity; Shock; Saint Venant equations; RIP CURRENT; TRANSFORMATION; MODEL;
D O I
10.3934/dcdsb.2010.13.729
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the mechanisms which control the generation of wave-induced mean current vorticity in the surf zone. From the vertically-integrated and time-averaged momentum equations given recently by Smith [21], we obtain a vorticity forcing term related to differential broken-wave energy dissipation. Then, we derive a new equation for the mean current vorticity, from the nonlinear shallow water shock-wave theory. Both approaches are consistent, under the shallow water assumption, but the later gives explicitly the generation term of vorticity, without any ad-hoc parametrization of the broken-wave energy dissipation.
引用
收藏
页码:729 / 738
页数:10
相关论文
共 23 条
[1]  
[Anonymous], 1977, The Dynamics of the Upper Ocean
[2]   A POSITIVE PRESERVING HIGH ORDER VFROE SCHEME FOR SHALLOW WATER EQUATIONS: A CLASS OF RELAXATION SCHEMES [J].
Berthon, Christophe ;
Marche, Fabien .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 30 (05) :2587-2612
[3]   Modelling of periodic wave transformation in the inner surf zone [J].
Bonneton, P. .
OCEAN ENGINEERING, 2007, 34 (10) :1459-1471
[4]  
BONNETON P, 2004, P 29 INT C COAST ENG, V1, P392
[5]   A third-generation wave model for coastal regions - 1. Model description and validation [J].
Booij, N ;
Ris, RC ;
Holthuijsen, LH .
JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 1999, 104 (C4) :7649-7666
[6]   Topographically controlled, breaking-wave-induced macrovortices. Part 1. Widely separated breakwaters [J].
Brocchini, M ;
Kennedy, A ;
Soldini, L ;
Mancinelli, A .
JOURNAL OF FLUID MECHANICS, 2004, 507 :289-307
[7]  
BRUNEAU N, 2008, P 31 INT C COAST ENG, V1, P901, DOI DOI 10.1142/9789814277426-0076
[8]   Field observations of an evolving rip current on a meso-macrotidal well-developed inner bar and rip morphology [J].
Bruneau, Nicolas ;
Castelle, Bruno ;
Bonneton, Philippe ;
Pedreros, Rodrigo ;
Almar, Rafael ;
Bonneton, Natalie ;
Bretel, Patrice ;
Parisot, Jean-Paul ;
Senechal, Nadia .
CONTINENTAL SHELF RESEARCH, 2009, 29 (14) :1650-1662
[9]   On the vorticity transport due to dissipating or breaking waves in shallow-water flow [J].
Bühler, O .
JOURNAL OF FLUID MECHANICS, 2000, 407 :235-263
[10]   Modelling of a rip current induced by waves over a ridge and runnel system on the Aquitanian Coast, France. [J].
Castelle, Bruno ;
Bonneton, Philippe .
COMPTES RENDUS GEOSCIENCE, 2006, 338 (10) :711-717