Internal solitary wave transformation over a bottom step: Loss of energy

2013 ◽  
Vol 25 (3) ◽  
pp. 032110 ◽  
Author(s):  
Tatiana Talipova ◽  
Katherina Terletska ◽  
Vladimir Maderich ◽  
Igor Brovchenko ◽  
Kyung Tae Jung ◽  
...  
2020 ◽  
Author(s):  
Kateryna Terletska ◽  
Tatiana Talipova ◽  
Roger Grimshaw ◽  
Zihua Liu ◽  
Vladimir Maderіch

<p>Transformation of the first mode internal solitary wave over the underwater bottom step in three-layer fluid is studied numerically. In the three layer flow two modes (the first and the second) of the internal waves are existed. It is known that interaction of the first mode internal solitary wave with an underwater obstacle is the mechanisms of second-mode internal solitary waves generation. Different scenarios of transformation are realized under different wave characteristics: wave amplitude, position of the step and thickness of the layers as is the two layer case [1]. Formation of the second mode internal solitary waves during interaction of the first mode internal solitary waves occurs only for special range of wave characteristics and thickness of the layers that was defined in this investigation. The second mode internal solitary waves appear as in the reflected wave field as well as in the transmitted wave field. Transfer of energy from incident mode one wave into reflected and transmitted waves (the first and the second modes) during transformation is also studied. Dependence of the amplitudes of generated solitary waves (transmitted and reflected) from amplitude of the incident wave is obtained.  Comparison of numerical results (reflected and transmitted coefficients) with the theoretical calculations [2] shows good agreement in the range of wave characteristics that corresponds to the weak interaction.  </p><p> </p><p>1. Talipova T., Terletska K., Maderich V., Brovchenko I., Pelinovsky E., Jung K.T., Grimshaw R. Internal solitary wave transformation over a bottom step: loss of energy. Phys. Fluids. 2013. № 25. 032110; doi:10.1063/1.4797455</p><p>2.    Liu Z., Grimshaw R. and Johnson E.  The interaction of a mode-1 internal solitary wave with a step and the generation of mode-2 waves Geophysical & Astrophysical Fluid Dynamics 2019, N 4, V 113, https://doi.org/10.1080/03091929.2019.1636046</p><p> </p>


2021 ◽  
Vol 33 (3) ◽  
pp. 032109
Author(s):  
Li Zou ◽  
Zehua Wen ◽  
Tiezhi Sun ◽  
Xinyu Ma ◽  
Xueyu Wang

2013 ◽  
Vol 72 ◽  
pp. 448-452 ◽  
Author(s):  
Yi Zheng ◽  
Daqi Xin ◽  
Shuxia Li ◽  
Guoquan Shi ◽  
Junxia Wei ◽  
...  

2011 ◽  
Vol 33 (2) ◽  
pp. 120-129 ◽  
Author(s):  
Z.J. Song ◽  
B. Teng ◽  
Y. Gou ◽  
L. Lu ◽  
Z.M. Shi ◽  
...  

2021 ◽  
Author(s):  
Yi Gong ◽  
Haibin Song ◽  
Zhongxiang Zhao ◽  
Yongxian Guan ◽  
Kun Zhang ◽  
...  

Abstract. Shoaling internal solitary waves near the Dongsha Atoll in the South China Sea dissipate their energy and thus enhance diapycnal mixing, which have an important impact on the oceanic environment and primary productivity. The enhanced diapycnal mixing is patchy and instantaneous. Evaluating its spatiotemporal distribution requires comprehensive observation data. Fortunately, seismic oceanography meets the requirements, thanks to its high spatial resolution and large spatial range. In this paper, we studied three internal solitary waves in reversing polarity near the Dongsha Atoll, and calculated the spatial distribution of resultant diapycnal diffusivity. Our results show that the average diffusivities along three survey lines are two orders of magnitude larger than the open-ocean value. The average diffusivity in the internal solitary wave with reversing polarity is three times that of the non-polarity-reversal region. The diapycnal diffusivity is higher at the front of one internal solitary wave, and gradually decreases from shallow to deep water in the vertical direction. Our results also indicates that (1) the enhanced diapycnal diffusivity is related to reflection seismic events; (2) convective instability and shear instability may both contribute to the enhanced diapycnal mixing in the polarity-reversing process; and (3) the difference between our and previous diffusivity profiles is about 2–3 orders of magnitude, but their vertical distribution is almost the same.


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