Computational analyses of fully nonlinear interaction of an internal solitary wave and a free surface wave

Zou, Li; Hu, Yingjie; Wang, Zhen; Pei, Yuekun; Yu, Zongbing

doi:10.1063/1.5088428

Cited by 9 publications

(2 citation statements)

References 42 publications

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“…Based on the pressure continuity and normal velocity continuity conditions at the interface, the two regions can be connected to solve the problem, and the multi-domain boundary element method is introduced to develop numerical model for the problem of internal solitary waves propagation and evolution. A specific calculation procedure can be found in the literature [44].…”

Section: Numerical Modelmentioning

confidence: 99%

Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography

Zou

et al. 2021

JMSE

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In this study, the propagation and evolution characteristics of internal solitary waves on slope topography in stratified fluids were investigated. A numerical model of internal solitary wave propagation based on the nonlinear potential flow theory using the multi-domain boundary element method was developed and validated. The numerical model was used to calculate the propagation process of internal solitary waves on the topography with different slope parameters, including height and angle, and the influence of slope parameters, initial amplitude, and densities jump of two-layer fluid on the evolution of internal solitary waves is discussed. It was found that the wave amplitude first increased while climbing the slope and then decreased after passing over the slope shoulder based on the calculation results, and the wave amplitude reached a maximum at the shoulder of the slope. A larger height and angle of the slope can induce larger maximum wave amplitude and more obvious tail wave characteristics. The wave amplitude gradually decreased, and a periodic tail wave was generated when propagating on the plateau after passing the slope. Both frequency and height of the tail wave were affected by the geometric parameters of the slope bottom; however, the initial amplitude of the internal solitary wave only affects the tail wave height, but not the frequency of the tail wave.

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Section: Numerical Modelmentioning

confidence: 99%

Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography

Zou

et al. 2021

JMSE

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“…The study [6] addresses the interaction of an internal separated wave on the contact surface of the two-layer liquid and a free surface wave in the upper part of the upper layer. This approach is based on the theory of potential flux because internal waves are associated with large Reynolds numbers.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Dependence of the internal wave energy flux on the parameters of a twolayer hydrodynamic system

Naradovyi

Hurtovyi

Авраменко

2020

EEJET

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The study was performed to analyze the flux of energy of internal gravitational-capillary waves in a two-layer hydrodynamic liquid system with finite layer thicknesses. The problem was considered for an ideal incompressible fluid in the field of gravity as well as taking into account the forces of surface tension. The problem was formulated in a dimensionless form for small values of the coefficient of nonlinearity. The dispersion of the gravitational-capillary progressive waves was studied in detail depending on the coefficient of surface tension and the ratio of layer densities. It was proved that with the increase in the wavenumber, the group velocity begins to pass ahead of the phase velocity and their equality occurs at the minimum of the phase velocity. Dependence of the total average energy flux on the wavenumber (wavelength) and thickness of the liquid layers was calculated and graphically analyzed for different values of physical quantities, in particular, density and the coefficient of surface tension. It follows from the analysis that the energy flux of gravitational internal waves increases to a certain maximum value with an increase in the thickness of the lower layer and then approaches a certain limit value. For capillary waves, the energy flux of internal waves is almost independent of the thickness of the lower layer. It was also shown that the average energy flux for gravitational waves at a stable amplitude is almost independent of the wavelength. On the contrary, for capillary waves, the energy flux increases sharply with an increase in the wavenumber. The results of the analysis of the energy flux of internal progressive waves make it possible to qualitatively assess physical characteristics in the development of environmental technologies that use internal undulatory motions in various aquatic environments as a source of energy

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Numerical investigation for the collision of two elevation-type internal solitary waves using fully nonlinear model

Hu,

Zou,

et al. 2024

Applied Ocean Research

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Computational analyses of fully nonlinear interaction of an internal solitary wave and a free surface wave

Cited by 9 publications

References 42 publications

Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography

Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography

Dependence of the internal wave energy flux on the parameters of a twolayer hydrodynamic system

Numerical investigation for the collision of two elevation-type internal solitary waves using fully nonlinear model

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Computational analyses of fully nonlinear interaction of an internal solitary wave and a free surface wave

Cited by 9 publications

References 42 publications

Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography

Numerical Simulation for the Evolution of Internal Solitary Waves Propagating over Slope Topography

Dependence of the internal wave energy flux on the parameters of a two­layer hydrodynamic system

Numerical investigation for the collision of two elevation-type internal solitary waves using fully nonlinear model

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Dependence of the internal wave energy flux on the parameters of a twolayer hydrodynamic system