Note on the velocity and related fields of steady irrotational two-dimensional surface gravity waves

被引：39

作者：

Clamond, Didier ^{[1
]}

机构：

[1] Univ Nice Sophia Antipolis, Lab JA Dieudonne, F-06108 Nice 2, France

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2012年 / 370卷 / 1964期

关键词：

surface waves; velocity field; acceleration field; numerical solution; SOLITARY WATER-WAVES; FINITE DEPTH; DEEP-WATER; NUMERICAL-SOLUTION; TRAJECTORIES; VORTICITY; SYMMETRY; PRESSURE; EQUATION;

D O I：

10.1098/rsta.2011.0470

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：

The velocity and other fields of steady two-dimensional surface gravity waves in irrotational motion are investigated numerically. Only symmetric waves with one crest per wavelength are considered, i.e. Stokes waves of finite amplitude, but not the highest waves, nor subharmonic and superharmonic bifurcations of Stokes waves. The numerical results are analysed, and several conjectures are made about the velocity and acceleration fields.

引用

页码：1572 / 1586

页数：15

共 22 条

[1] Numerical solution of Nekrasov's equation in the boundary layer near the crest for waves near the maximum height [J].