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| Titel |
Head-on collision of large amplitude internal solitary waves of the first mode |
| VerfasserIn |
Kateryna Terletska, Vladimir Maderich, Igor Brovchenko, Kyung Tae Jung, Tatiana Talipova |
| Konferenz |
EGU General Assembly 2016
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| Medientyp |
Artikel
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| Sprache |
en
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 18 (2016) |
| Datensatznummer |
250123967
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| Publikation (Nr.) |
 EGU/EGU2016-3315.pdf |
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| Zusammenfassung |
| The dynamics and energetics of a frontal collision of internal solitary waves of
depression and elevation of moderate and large amplitudes propagating in a two-layer
stratified fluid are studied numerically in frame of the Navier-Stokes equations. It was
considered symmetric and asymmetric head-on collisions. We propose the dimensionless
characteristic of the wave collision ξ that is the ratio of the wave steepnesses. Wave
runup normalized on the amplitude of incoming wave as function of the waves
steepness is proposed. Interval 0<ξ<1 corresponds to the smaller wave in the case of
asymmetric collision, ξ=1 correspond to the symmetric collision and ξ>1 corresponds
to the larger wave in the case of asymmetric collision. Results of modeling were
compared with the results of laboratory experiments [1]. It was shown that the frontal
collision of internal solitary waves of moderate amplitude leads to a small phase shift
and to the generation of dispersive wavetrain trailing behind transmitted solitary
wave. The phase shift grows with increasing amplitudes of the interacting waves
and approaches the limiting value when amplitudes of the waves are equal to the
upper/lower layer for waves of depression/elevation. The deviation of the maximum
wave height during collision from the twice the amplitude are maximal when wave
amplitudes are equal to the upper/lower layer for waves of depression/elevation, then
it decays with growth of amplitudes of interacting waves. It was found that the
interaction of waves of large amplitude leads to the shear instability and the formation of
Kelvin—Helmholtz vortices in the interface layer, however, subsequently waves again
become stable.
References
[1] R.-C. Hsu, M. H. Cheng, C.-Y. Chen, Potential hazards and dynamical analysis of
interfacial solitary wave interactions. Nat Hazards. 65 (2013) 255–278 |
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