Nakayama Keisuke, Tani Kojiro, Yoshimura Hideto, Fujita Ichiro
Graduate School of Engineering, Kobe University, Kobe, 657-8501, Japan.
Mizuho Research & Technologies, Ltd., Tokyo, Japan.
Sci Rep. 2022 Nov 2;12(1):18524. doi: 10.1038/s41598-022-23267-w.
The vorticity effect on solitary wave profiles has not been solved experimentally; previous studies theoretically and numerically showed that when a solitary wave progressed in the positive direction, the effective wavelength of a solitary wave with positive vorticity increased. Using laboratory experiments and fully nonlinear numerical simulations, we here show that the effective wavelength is extended more when positive vorticity is given to a progressive wave in the positive direction. We further show that the total energy increases with increasing positive vorticity, demonstrating that a wave with positive vorticity propagates with less attenuation and lasts longer than a solitary wave with no vorticity. We anticipate that our outcomes will provide a starting point for more sophisticated methods to investigate the effect of vorticity on solitary waves in laboratory experiments and numerical simulations.
涡度对孤立波剖面的影响尚未通过实验得到解决;先前的理论和数值研究表明,当孤立波沿正方向传播时,具有正涡度的孤立波的有效波长会增加。通过实验室实验和完全非线性数值模拟,我们在此表明,当向正向传播的波施加正涡度时,有效波长会进一步延长。我们还表明,总能量随着正涡度的增加而增加,这表明具有正涡度的波比没有涡度的孤立波传播时衰减更小且持续时间更长。我们预计,我们的结果将为在实验室实验和数值模拟中研究涡度对孤立波影响的更复杂方法提供一个起点。