Transformation, Attenuation, Setup, and Undertow of Internal Waves on a Gentle Slope

Umeyama, Motohiko; Shintani, Tetsuya

doi:10.1061/(asce)0733-950x(2006)132:6(477)

Cited by 13 publications

(16 citation statements)

References 26 publications

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“…6 for h I : h II =15 cm : 15 cm at t/T=0.25 with T=5.2 s and T=7.2 s, respectively. Umeyama and Shintani (2004) 8) confirmed that the meth- -od of characteristics can be predict adequately the details of the rump profile of internal waves on the sloping bottom. Fig.…”

Section: Interfacial Displacementsmentioning

confidence: 69%

“…In this section, theoretical aspect for internal waves is discussed with a two dimensional numerical model 8) . In this 2D model, the Boussinesq approximation is applied to the continuity and momentum equations.…”

Section: Methodsmentioning

confidence: 99%

“…The origin of the axes is set at the intersection between the undisturbed interface and the slope. Umeyama and Shintani (2004) 8) derived a reliable solution for the displacement of the density interface and the horizontal velocity in the lower layer by means of the method of characteristics. The governing equations for the internal waves in the lower layer are …”

Section: Methods Of Characteristics For Water Particle Trajectorymentioning

confidence: 99%

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Water Particle Trajectory and Mass Transport of Internal Waves Propagating Over A Constant Slope

Nguyen

Umeyama

Shintani

2012

J. JSCE

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This paper presents experimental and theoretical investigations of water particle trajectory and mass transport of internal waves propagating over a sloping bottom in a two-layer densitystratified water. The water particle trajectory has been obtained by experimental, numerical, and analytical methods for two different thickness ratios as well as two wave periods. In addition, the mass transport velocity was estimated. The trajectory of individual particle is not closed but shows a quasi-elliptic pattern. It was confirmed from the measured and computed results that the particle near the density interface yields a maximum forward drift while one away from interface tends to move backward to conserve the mass in the closed wave tank. The theoretical solution gives reasonable results for the drift of the water particle near the density interface.

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Section: Interfacial Displacementsmentioning

confidence: 69%

Section: Methodsmentioning

confidence: 99%

Section: Methods Of Characteristics For Water Particle Trajectorymentioning

confidence: 99%

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Water Particle Trajectory and Mass Transport of Internal Waves Propagating Over A Constant Slope

Nguyen

Umeyama

Shintani

2012

J. JSCE

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“…For the purpose of the present study it may be helpful to use a model in which the divergence of the energy flux is balanced by the dissipation. Therefore, the equation of energy conservation can be expressed as (Umeyama & Shintani 2006) where F is the energy flux per unit of width; w f is the friction coefficient; and β is the energy dissipation coefficient.…”

Section: Theoretical Water Particle Trajectorymentioning

confidence: 99%

“…To observe the runup and breaking of internal waves over a uniform slope, Umeyama and Shintani (2004) installed a Plexiglas plate in the same wave tank and measured the profile of internal waves and the mixing between two layers. Later, Umeyama and Shintani (2006) performed more precise laboratory tests, by considering additional aspects such as transformation, attenuation, set-down, and setup during the shoaling and breaking events.…”

Section: Introductionmentioning

confidence: 99%

Piv Measurements of Particle Velocities and Trajectories for Internal Waves Propagating in a Two-Layer Fluid on a Sloping Boundary

Umeyama

Nguyen

2012

Int. Conf. Coastal. Eng.

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Some characteristics of internal waves propagating in a two-layer fluid on a sloping bottom were investigated experimentally using particle image velocimetry (PIV) that was originally developed to express the velocity field in a two-dimensional area. Velocity distributions were estimated at several phases during one wave cycle. The method of characteristics was adapted to calculate the interfacial displacement and water particle trajectory. In addition, the variations of wave speed, wave height and wave setup from deepwater to shallow-water regions by an imaging technique were compared with those by a wave dissipation model based on the radiation stress concept. These attempts proved the ability of the imaging technique to accurately measure both temporal and spatial variations of some physical quantities due to the propagation of internal waves. The PIV technique was applied to the prediction of Lagrangian velocity in a Eulerian scheme. The measured particle path was compared with the positions found theoretically by the method of characteristics.

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Evidence of internal-wave and internal-tide deposits in the Middle Ordovician Xujiajuan Formation of the Xiangshan Group, Ningxia, China

Jinxiong

et al. 2011

Geo-Mar Lett

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Transformation, Attenuation, Setup, and Undertow of Internal Waves on a Gentle Slope

Cited by 13 publications

References 26 publications

Water Particle Trajectory and Mass Transport of Internal Waves Propagating Over A Constant Slope

Water Particle Trajectory and Mass Transport of Internal Waves Propagating Over A Constant Slope

Piv Measurements of Particle Velocities and Trajectories for Internal Waves Propagating in a Two-Layer Fluid on a Sloping Boundary

Evidence of internal-wave and internal-tide deposits in the Middle Ordovician Xujiajuan Formation of the Xiangshan Group, Ningxia, China

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