scholarly journals Self-localized solitons of the nonlinear wave blocking problem

2021 ◽  
Vol 93 ◽  
pp. 101189
Author(s):  
Cihan Bayındır
Keyword(s):  
2014 ◽  
Vol 1 (34) ◽  
pp. 34
Author(s):  
Wen-Yang Hsu ◽  
Igor Shugan ◽  
Wen-Son Chiang ◽  
Ray-Yeng Yang ◽  
Hwung-Hweng Hwung ◽  
...  

2015 ◽  
Vol 778 ◽  
pp. 314-334 ◽  
Author(s):  
R. M. Moreira ◽  
J. T. A. Chacaltana

The effects of uniform vorticity on a train of ‘gentle’ and ‘steep’ deep-water waves interacting with underlying flows are investigated through a fully nonlinear boundary integral method. It is shown that wave blocking and breaking can be more prominent depending on the magnitude and direction of the shear flow. Reflection continues to occur when sufficiently strong adverse currents are imposed on ‘gentle’ deep-water waves, though now affected by vorticity. For increasingly positive values of vorticity, the induced shear flow reduces the speed of right-going progressive waves, introducing significant changes to the free-surface profile until waves are completely blocked by the underlying current. A plunging breaker is formed at the blocking point when ‘steep’ deep-water waves interact with strong adverse currents. Conversely negative vorticities augment the speed of right-going progressive waves, with wave breaking being detected for strong opposing currents. The time of breaking is sensitive to the vorticity’s sign and magnitude, with wave breaking occurring later for negative values of vorticity. Stopping velocities according to nonlinear wave theory proved to be sufficient to cause wave blocking and breaking.


Author(s):  
O. R. Sørensen ◽  
P. A. Madsen ◽  
H. A. Schäffer

2012 ◽  
Vol 182 (6) ◽  
pp. 569 ◽  
Author(s):  
Vladimir E. Zakharov ◽  
Evgenii A. Kuznetsov
Keyword(s):  

Author(s):  
Sergey Kuznetsov ◽  
Sergey Kuznetsov ◽  
Yana Saprykina ◽  
Yana Saprykina ◽  
Boris Divinskiy ◽  
...  

On the base of experimental data it was revealed that type of wave breaking depends on wave asymmetry against the vertical axis at wave breaking point. The asymmetry of waves is defined by spectral structure of waves: by the ratio between amplitudes of first and second nonlinear harmonics and by phase shift between them. The relative position of nonlinear harmonics is defined by a stage of nonlinear wave transformation and the direction of energy transfer between the first and second harmonics. The value of amplitude of the second nonlinear harmonic in comparing with first harmonic is significantly more in waves, breaking by spilling type, than in waves breaking by plunging type. The waves, breaking by plunging type, have the crest of second harmonic shifted forward to one of the first harmonic, so the waves have "saw-tooth" shape asymmetrical to vertical axis. In the waves, breaking by spilling type, the crests of harmonic coincides and these waves are symmetric against the vertical axis. It was found that limit height of breaking waves in empirical criteria depends on type of wave breaking, spectral peak period and a relation between wave energy of main and second nonlinear wave harmonics. It also depends on surf similarity parameter defining conditions of nonlinear wave transformations above inclined bottom.


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