scholarly journals Propagation of long internal waves in density stratified ocean for the (2+1)-dimensional nonlinear Nizhnik-Novikov-Vesselov dynamical equation

2020 ◽  
Vol 16 ◽  
pp. 102838 ◽  
Author(s):  
Mujahid Iqbal ◽  
Aly R. Seadawy ◽  
Omar H. Khalil ◽  
Dianchen Lu
Keyword(s):  
Internal Waves ◽  
Dynamical Equation ◽  
Stratified Ocean

NLS equation of internal waves in weakly stratified ocean

1996 ◽  
Vol 14 (2) ◽  
pp. 121-127
Author(s):  
Xu Zhao-ting ◽  
Lou Shun-li ◽  
Tian Ji-wei ◽  
Samuel Shan-pu Shen
Keyword(s):  
Internal Waves ◽  
Nls Equation ◽  
Stratified Ocean

scholarly journals Interaction Features of Internal Wave Breathers in a Stratified Ocean

Fluids ◽  
2020 ◽  
Vol 5 (4) ◽  
pp. 205
Author(s):  
Ekaterina Didenkulova ◽  
Efim Pelinovsky
Keyword(s):  
Internal Wave ◽  
Internal Waves ◽  
Gravity Waves ◽  
Fourth Order ◽  
Numerical Experiments ◽  
Vries Equation ◽  
Internal Gravity Waves ◽  
Wave Fields ◽  
Tidal Waves ◽  
Stratified Ocean

Oscillating wave packets (breathers) are a significant part of the dynamics of internal gravity waves in a stratified ocean. The formation of these waves can be provoked, in particular, by the decay of long internal tidal waves. Breather interactions can significantly change the dynamics of the wave fields. In the present study, a series of numerical experiments on the interaction of breathers in the frameworks of the etalon equation of internal waves—the modified Korteweg–de Vries equation (mKdV)—were conducted. Wave field extrema, spectra, and statistical moments up to the fourth order were calculated.

On the damping of internal gravity waves in a continuously stratified ocean

1966 ◽  
Vol 25 (1) ◽  
pp. 121-142 ◽  
Author(s):  
Paul H. LeBlond
Keyword(s):  
Internal Waves ◽  
Gravity Waves ◽  
Internal Gravity Waves ◽  
Bottom Friction ◽  
Internal Tides ◽  
Attenuation Rate ◽  
Mixing Coefficients ◽  
Stratified Ocean ◽  
Shallow Seas ◽  
Strongly Damped

The problem studied here is that of the attenuation of internal waves through turbulent mixing in a weakly and exponentially stratified fluid. The equations are linearized and it is assumed that the action of turbulence can be parametrically represented by eddy mixing coefficients and that the influence of bottom friction is restricted to a thin bottom boundary layer. The simple case where there is no rotation and only one component to the stratification is first examined in detail, and the modifications caused by introducing rotation and a second component are subsequently investigated. Subject quantitatively to the choice made for the eddy coefficients, but qualitatively not strongly dependent on that choice, the following conclusions are drawn: (i) very short internal waves (length < 100 m) are strongly damped in basins of all depths; (ii) long internal waves or seiches in shallow seas (depth ≃ 100 m) will not last more than a few cycles as free oscillations; (iii) the attenuation rate for long internal tides is small enough that these should be observable very far from the coasts, but large enough to exclude the possibility of oceanic standing wave systems; (iv) for very long internal waves the damping is predominantly due to the effect of bottom friction, and the attenuation rate becomes almost independent of the actual form of the stratification present in the fluid.

Mechanism of ice-band pattern formation caused by resonant interaction between sea ice and internal waves in a continuously stratified ocean

2021 ◽  
Vol 190 ◽  
pp. 102474
Author(s):  
Ryu Saiki ◽  
Humio Mitsudera ◽  
Ayumi Fujisaki-Manome ◽  
Noriaki Kimura ◽  
Jinro Ukita ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Sea Ice ◽  
Internal Waves ◽  
Resonant Interaction ◽  
Band Pattern ◽  
Stratified Ocean

scholarly journals Multimodal Internal Waves Generated over a Subcritical Ridge: Impact of the Upper-Ocean Stratification

2015 ◽  
Vol 45 (3) ◽  
pp. 904-926 ◽  
Author(s):  
Jieshuo Xie ◽  
Jiayi Pan ◽  
David A. Jay
Keyword(s):  
Internal Waves ◽  
Phase Speed ◽  
Upper Ocean ◽  
Strong Mixing ◽  
Energy Partition ◽  
Higher Modes ◽  
Ocean Stratification ◽  
Nonhydrostatic Model ◽  
Mode 2 ◽  
Stratified Ocean

AbstractInteraction of barotropic tides with subsurface topography is vital to ocean mixing. Yet the behavior of large-amplitude, nonlinear, internal solitary waves (ISWs) that can cause strong mixing remains poorly understood, especially that of higher-mode and multimodal internal waves. Therefore, a 2.5-dimensional, nonhydrostatic model with adjustable vertical resolution was developed to investigate effects of upper-ocean stratification on tidally induced multimodal internal waves and to show how they are generated by the subcritical ridge where only upward-propagating internal wave beams (IWBs) are present. The effects of the stratification on properties and characteristics of the excited IWBs and on the energy partition of the radiated mode-1 and mode-2 internal waves were investigated based on the model results. Higher modes of internal waves can also be effectively generated in the IWBs by the subcritical topography, and the contribution to IWBs from higher modes increases with the upper-ocean stratification. Mode-2 ISWs can be excited from the IWBs if both the tidal Froude number and the contribution to IWBs from mode-2 waves are sufficiently high (U0 is the tidal current speed, and c2 is the phase speed of mode-2 waves). In a moderately stratified upper ocean, both mode-1 and mode-2 ISWs can be produced, but for weak (strong) stratification, only mode-1 (mode-2) ISWs are generated. Further, it is found that the distance between two successive mode-1 or mode-2 ISW trains increases linearly with the upper-ocean stratification. The ratio of the kinetic energy to the available potential energy for the mode-2 ISWs increases with the upper-ocean stratification in a strongly stratified ocean.

A Numerical Procedure for Vehicle-Induced Internal Waves

1988 ◽  
Vol 110 (4) ◽  
pp. 380-386
Author(s):  
I. Suh ◽  
R. I. Hires
Keyword(s):  
Steady State ◽  
Internal Waves ◽  
Axial Velocity ◽  
Three Dimensional ◽  
Numerical Procedure ◽  
Velocity Variation ◽  
Cartesian Coordinate System ◽  
Direct Solution ◽  
Cartesian Coordinate ◽  
Stratified Ocean

An axially marching numerical method is developed for the simulation of the internal waves produced by the translation of a submersed vehicle in a density-stratified ocean. The method provides for the direct solution of the primitive variables [v, p, ρ] for the nonlinear and steady-state three-dimensional Euler’s equation with a nonconstant density term in the vehicle-fixed cartesian coordinate system. By utilizing a known potential flow around the vehicle for an estimate of the axial velocity gradient, the present parabolic algorithm allows local upstream disturbances and an axial velocity variation.

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