Fully nonlinear simple internal waves over subcritical slopes in continuously stratified fluids: Theoretical development

Shimizu, Kenji

doi:10.1063/1.5074095

Cited by 10 publications

(4 citation statements)

References 69 publications

(195 reference statements)

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“…When ISW undergoes dramatic changes in the seafloor during its propagation, it will cause changes in the thickness of the fluid, which in turn affects the evolution of ISW (Mashayek et al, 2017;Wang et al, 2020;Wei et al, 2012). Seafloor slope also affects energy dissipation in ISW, which in turn affects resuspension (Shimizu, 2019). The influence of bedforms and slopes on internal wave propagation has always been a research hotspot (Tian et al, 2024).…”

Section: Influence Of Seafloor On Iswmentioning

confidence: 99%

“…Internal waves are thought to cause sediment resuspension, affect particle redeposition, and correlate with the distribution of bottom and middle nepheloid layers and seafloor slopes (Cacchione et al, 2002). Shimizu (2019) studied the dynamics of internal waves theoretically and found that the flat seabed is suitable for the existing internal wave theory, and the seafloor slope exceeding the critical area will increase the error. The different energy propagation modes caused by ISW passing through different seabed slopes will inevitably affect the process of suspending seabed sediments.…”

Section: Influence Of Seafloor Slope On Iswmentioning

confidence: 99%

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Interaction between internal solitary waves and the seafloor in the deep sea

Tian,

Huang,

Xiang

et al. 2024

Deep Underground Science and Engineering

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Internal solitary wave (ISW), as a typical marine dynamic process in the deep sea, widely exists in oceans and marginal seas worldwide. The interaction between ISW and the seafloor mainly occurs in the bottom boundary layer. For the seabed boundary layer of the deep sea, ISW is the most important dynamic process. This study analyzed the current status, hotspots, and frontiers of research on the interaction between ISW and the seafloor by CiteSpace. Focusing on the action of ISW on the seabed, such as transformation and reaction, a large amount of research work and results were systematically analyzed and summarized. On this basis, this study analyzed the wave–wave interaction and interaction between ISW and the bedform or slope of the seabed, which provided a new perspective for an in‐depth understanding of the interaction between ISW and the seafloor. Finally, the latest research results of the bottom boundary layer and marine engineering stability by ISW were introduced, and the unresolved problems in the current research work were summarized. This study provides a valuable reference for further research on the hazards of ISW to marine engineering geology.

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Section: Influence Of Seafloor On Iswmentioning

confidence: 99%

Section: Influence Of Seafloor Slope On Iswmentioning

confidence: 99%

Interaction between internal solitary waves and the seafloor in the deep sea

Tian,

Huang,

Xiang

et al. 2024

Deep Underground Science and Engineering

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“…The dynamics of completely nonlinear internal waves in continuously stratified fluids were studied in [9]. The study was conducted using a new theory of simple waves (or the Riemann waves) with topographic effects of the 2nd order.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…doi: https:// doi.org/10.15376/biores. 9 ergy of undulatory motion which is transferred through a cross-section per unit time, that is, the energy flux, is an important characteristic. Growth or reduction of energy flux of internal waves also creates a significant impact on natural processes in water bodies.…”

Section: Introductionmentioning

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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Impact of seepage flow on sediment resuspension by internal solitary waves: parameterization and mechanism

et al. 2022

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Fully nonlinear simple internal waves over subcritical slopes in continuously stratified fluids: Theoretical development

Abstract: Numerical investigation of internal solitary waves of elevation type propagating on a uniform slope

Cited by 10 publications

References 69 publications

Interaction between internal solitary waves and the seafloor in the deep sea

Interaction between internal solitary waves and the seafloor in the deep sea

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

Impact of seepage flow on sediment resuspension by internal solitary waves: parameterization and mechanism

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Fully nonlinear simple internal waves over subcritical slopes in continuously stratified fluids: Theoretical development

Abstract: Numerical investigation of internal solitary waves of elevation type propagating on a uniform slope

Cited by 10 publications

References 69 publications

Interaction between internal solitary waves and the seafloor in the deep sea

Interaction between internal solitary waves and the seafloor in the deep sea

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

Impact of seepage flow on sediment resuspension by internal solitary waves: parameterization and mechanism

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