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
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