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Effects of vorticity on solitary waves
Nakayama, K.; Tani, K.; Yoshimura, H.; Fujita, I. (2022). Effects of vorticity on solitary waves. NPG Scientific Reports 12(1): 18524. https://dx.doi.org/10.1038/s41598-022-23267-w
In: Scientific Reports (Nature Publishing Group). Nature Publishing Group: London. ISSN 2045-2322; e-ISSN 2045-2322, meer
Peer reviewed article  

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  • Nakayama, K.
  • Tani, K.
  • Yoshimura, H.
  • Fujita, I.

Abstract
    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.

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