Water wave scattering by a finite dock over a step-type bottom topography

Dhillon, Harpreet; Banerjea, Sudeshna; De, Soumen

doi:10.1016/j.oceaneng.2015.12.017

Cited by 36 publications

(11 citation statements)

References 27 publications

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“…However, this is exceptional for smaller values of k 0 h 1 and its values are more than unity. The phenomenon of exceeding unity was observed long ago by Newman 3 in the study of wave transmission over a bottom with an infinite step and also observed recently by Dhillon et al 20 while investigating wave transmission over a finite step in bottom with a floating dock.…”

Section: Computational Results and Discussionsupporting

confidence: 57%

“…Figure 5 illustrates variations in K r and K t as functions of nondimensional frequency K h 2 for different values of breakwater width a / h 2 in the cases of (a) zero-draft and (b) finite-draft. The results of present problem pertaining to finite-draft are analyzed in Figure 5(a) with a special case of zero-draft considered by Dhillon et al 20 in the event of normal incidence. In both cases, reflection enhances with an increase in the breakwater width.…”

Section: Computational Results and Discussionmentioning

confidence: 99%

“…The mathematical models for floating docks with zero-draft or finite-draft can also be treated as breakwater models since similar wave conditions and methods of solution have been taken into account. Dhillon et al 20 designed a model for a floating dock with zero-draft over a step-type bottom and studied wave scattering due to the dock. For modeling of a submerged tunnel, Mondal and Takagi 21 explored wave transmission and reflection by a rectangular body submerged at a distance from a rigid sea-wall.…”

Section: Introductionmentioning

confidence: 99%

“…Abul-Azm and Gesraha 8 ) and the second one assumes a breakwater with zero-draft in the presence of step-type bottom (e.g. Dhillon et al 20 ). Thus, in both types of problems, either the effect of draft or effect of changes in water depth was neglected.…”

Section: Introductionmentioning

confidence: 99%

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Oblique interaction between water waves and a partially submerged rectangular breakwater

Kaligatla

Prasad

Tabssum

2019

Proceedings of the Institution of Mechanical Engineers, Part M:

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A problem of oblique wave scattering by a rectangular breakwater floating in water of uneven depth is solved by applying matched eigenfunction expansion method. Three positions of breakwater are considered. The width and draft of breakwater are assumed to be finite, whereas its length is infinite. Breakwater is studied in the settings of without backwall and with a backwall. By using matching conditions at interface boundaries and making use of orthogonal property of eigenfunctions, the problem is converted to a system of algebraic equations. Breakwater’s position is proposed for which wave reflection, transmission, and force on wall are optimized. The breakwater with certain width and draft reflects more wave energy than the one with zero-draft. In the case of absence of wall, breakwater at lee side to the step induces least transmission of waves. In the case of presence of wall, suitable position of breakwater is suggested based on a range of wave frequency to mitigate force on wall. Optimum distances between wall and breakwater are found to attain less force on wall. Using Green’s identity, energy balance relation is derived to check accuracy in results. The findings are likely to be useful to assess the performance of a breakwater in different positions in water of uneven depth.

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Section: Computational Results and Discussionsupporting

confidence: 57%

Section: Computational Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Oblique interaction between water waves and a partially submerged rectangular breakwater

Kaligatla

Prasad

Tabssum

2019

Proceedings of the Institution of Mechanical Engineers, Part M:

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“…Analytical Solutions. According to the eigenfunction expansion method, the velocity potentials of the three subdomains (denoted by superscripts) for the i-th wave component can be expressed as follows based on the boundary condition of corresponding subdomain [29,30]:…”

Section: Analytical Formulamentioning

confidence: 99%

Analytical and Experimental Study of Focused Wave Action on a Partially Immersed Box

Fang

Guo

2019

Mathematical Problems in Engineering

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Focused wave is a practical laboratory method for reproducing extreme waves that cause catastrophic damage to marine and coastal structures. This paper presents a simple and efficient analytical method for predicting the hydrodynamic pressure and wave forces acting on a partially immersed box when subjected to a focused wave group attack. The boundary value issue of the physical problem is first investigated to derive an analytical formula based on potential flow theory and the matching eigenfunction method. Thereafter, the test data from a hydrodynamic experiment is used to verify the accuracy of the proposed analytical model. Using the validated analytical model, a parametric analysis is conducted to gain insight into the effects of the structural configuration and wave properties on the pressure and wave forces. It is observed that the hydrodynamic pressure on the offshore side plate, horizontal wave force, and moment are notably influenced by the structure breadth and draft. A focused wave with a lower peak frequency and higher focused amplitude is found to exert greater wave forces on the partially immersed box. The paper shows the value of linear wave theory for wave loads prediction even for focused waves although with some limitations.

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Water wave propagation over an infinite step in the presence of a thin vertical barrier

Ray

2021

J Eng Math

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Water wave scattering by a finite dock over a step-type bottom topography

Cited by 36 publications

References 27 publications

Oblique interaction between water waves and a partially submerged rectangular breakwater

Oblique interaction between water waves and a partially submerged rectangular breakwater

Analytical and Experimental Study of Focused Wave Action on a Partially Immersed Box

Water wave propagation over an infinite step in the presence of a thin vertical barrier

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