Vortex generation due to internal solitary wave propagation past a sidewall constriction

2021 ◽  
Vol 913 ◽  
Author(s):  
David Deepwell ◽  
Cameron Clarry ◽  
Christopher Subich ◽  
Marek Stastna
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Internal Solitary Wave ◽  
Vortex Generation

Abstract

Statistical properties of the internal solitary wave ensemble

2021 ◽  
Author(s):  
Tatiana Talipova ◽  
Ekaterina Didenkulova ◽  
Anna Kokorina ◽  
Efim Pelinovsky
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Solitary Waves ◽  
Internal Solitary Wave ◽  
Statistical Moments ◽  
Nonlinear Propagation ◽  
Positive Sign ◽  
Cubic Nonlinearity ◽  
Gardner Equation ◽  
Water Stratification

<p>Internal solitary wave ensembles are often observed on the ocean shelves. The long internal baroclinic tide is generated by a barotropic tide on the shelf edges, and then transforms into the soliton-like wave packets during the nonlinear propagation to the beach. The tide is a periodic process and the solitary wave ensemble appears on the shelf usually each semi-diurnal period of 12.4 hours. This process is very sensitive to the variation of the tide characteristics and the hydrology.</p><p>We study the propagation of the soliton ensembles numerically in the framework of the spatial form of the Gardner equation (i.e., the Korteweg-de Vries equation with both, quadratic and cubic nonlinearities) assuming horizontally uniform background and applying periodic conditions in time. The water stratification and the local depth are taken similar to the conditions of the north-western Australian shelf, where the stratification admits the existence of solitons but not breathers. The numerical simulation is performed using the Gardner equation with the negative sign of the cubic nonlinearity. For the study of the statistic properties of the solitary waves we use the ensemble of 50 realizations with the same set of 13 solitary waves which are located randomly. The histograms of the wave amplitudes change as the waves travel. The histogram variations become significant after 50 km of the wave propagation. The third (skewness) and the fourth (kurtosis) statistical moments are computed versus the travel distance. It is shown that the both moments decrease by 20% when the solitary wave groups travel for about 150 km.</p><p>A similar simulation is conducted for a variable background within the framework of the variable-coefficient Gardner equation. At some location the water stratification corresponds to the positive sign of the local coefficient of the cubic nonlinearity, and then internal breathers may exist. The wave propagation in horizontally inhomogeneous hydrology leads to the occurrence of complicated patterns of solitons and breathers; in the course of the transformation they can disintegrate or form internal rogue waves. Under these conditions the statistical moments of the wave field are essentially different from case when the breather-like waves cannot occur.</p><p>The research was supported by the RFBR grants No 19-05-00161 (TT and EP) and 19-35-60022 (ED). The Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” (№ 20-1-3-3-1) is also acknowledged by ED</p>

The N-soliton solution of extended Korteweg-de Vries equation and SAR image simulation of internal solitary wave propagation

2014 ◽  
Vol 67 (3) ◽  
pp. 31101 ◽  
Author(s):  
Yuping Zhang ◽  
Xingxing Nie ◽  
Guangmei Wei ◽  
Ruiping Liu
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Soliton Solution ◽  
Vries Equation ◽  
Internal Solitary Wave ◽  
Sar Image ◽  
Image Simulation ◽  
De Vries

scholarly journals Internal solitary wave propagation observed by tandem satellites

2014 ◽  
Vol 41 (6) ◽  
pp. 2077-2085 ◽  
Author(s):  
Bingqing Liu ◽  
Hong Yang ◽  
Zhongxiang Zhao ◽  
Xiaofeng Li
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Internal Solitary Wave

Effects of mesoscale eddies on the internal solitary wave propagation

2012 ◽  
Vol 31 (5) ◽  
pp. 26-40 ◽  
Author(s):  
Guanghong Liao ◽  
Chenghao Yang ◽  
Xiaohua Xu ◽  
Xingang Shi ◽  
Yaochu Yuan ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Mesoscale Eddies ◽  
Internal Solitary Wave

Experimental investigation of elevation internal solitary wave propagation over a ridge

2021 ◽  
Vol 33 (4) ◽  
pp. 042108
Author(s):  
Hui Du ◽  
Shao-Dong Wang ◽  
Xin-Long Wang ◽  
Jun-Nan Xu ◽  
Hai-long Guo ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Wave Propagation ◽  
Solitary Wave ◽  
Internal Solitary Wave

Estimation of internal solitary wave propagation speed in the Andaman Sea using multi–satellite images

2021 ◽  
Vol 252 ◽  
pp. 112123
Author(s):  
Chinglen Meetei Tensubam ◽  
Nadimpalli Jithendra Raju ◽  
Mihir Kumar Dash ◽  
Himanshu Barskar
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Satellite Images ◽  
Propagation Speed ◽  
Internal Solitary Wave ◽  
Andaman Sea ◽  
Wave Propagation Speed

Modification on Lynett and Liu’s model for internal solitary wave propagation over variable bathymetry

2006 ◽  
Vol 24 (4) ◽  
pp. 338-344
Author(s):  
Bai Yefei ◽  
Song Jinbao
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Internal Solitary Wave

A Case Study of Internal Solitary Wave Propagation During ASIAEX 2001

2004 ◽  
Vol 29 (4) ◽  
pp. 1144-1156 ◽  
Author(s):  
A.K. Liu ◽  
S.R. Ramp ◽  
Y. Zhao ◽  
T.Y. Tang
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Internal Solitary Wave

Internal solitary wave bottom boundary layer dissipation

2021 ◽  
Vol 6 (7) ◽  
Author(s):  
S. Zahedi ◽  
P. Aghsaee ◽  
L. Boegman
Keyword(s):  
Boundary Layer ◽  
Solitary Wave ◽  
Internal Solitary Wave ◽  
Bottom Boundary Layer ◽  
Bottom Boundary
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