Scattering of surface gravity waves over a pair of trenches

Kar, P.; Koley, Santanu; Sahoo, T.

doi:10.1016/j.apm.2018.06.002

Cited by 33 publications

(10 citation statements)

References 38 publications

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“…Further, the amplitude of the harmonic peaks, i.e., peaks in each bandwidth are not equal as the number of trenches or breakwaters increases. As the number of trenches or breakwaters N increases, the sub-harmonic peaks occur, which is similar to that of the phenomena observed in Kar et al [29] in the case of scattering of gravity waves by an array of trenches. In Figure 9, the reflection coefficient K r is plotted against wave number k 1 h 1 for different depths h 2 /h 1 of (Figure 9a) submerged trenches with w/L 1 = 0.6, d/L 1 = 0.86 and (Figure 9b) breakwaters with w/L 1 = 0.35, d/L 1 = 0.6 in the absence of semi-infinite plate with N = 2.…”

Section: Semi-infinite Plate In the Absence Of Bottom Undulationsupporting

confidence: 85%

“…Further, both the sub-figures depict that Bragg reflection occurs in the presence of multiple submerged trenches and breakwaters. Moreover, occurrence of sub-harmonic peaks are noticed when the number of trenches/breakwaters are more than two, which is similar to the observation made in Kar et al [29,30]. In the subsequent analyses, the values of w/L 1 = 0.6 in case of submerged trenches and w/L 1 = 0.35 in case of breakwaters are kept fixed, unless otherwise mentioned.…”

Section: Semi-infinite Plate In the Absence Of Bottom Undulationsupporting

confidence: 80%

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Bragg Scattering of Surface Gravity Waves Due to Multiple Bottom Undulations and a Semi-Infinite Floating Flexible Structure

Kar

Koley

Trivedi

et al. 2021

Water

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Surface gravity wave interaction with a semi-infinite floating elastic plate in the presence of multiple undulations has been studied under the assumption of linearized water wave theory and small amplitude structural response. The elastic plate is modeled using the Euler-Bernoulli beam equation, whilst the multiple undulations are categorized as an array of submerged trenches or breakwaters. The numerical solution obtained in finite water depth using the boundary element method is validated with the semi-analytic solution obtained under shallow water approximation. Bragg resonance occurs due to the scattering of surface waves by an array of trenches or breakwaters irrespective of the presence of the floating semi-infinite plate. The zero-minima in wave reflection occur when the width of the trench and breakwater is an integer multiple of 0.6 and 0.35 times wavelength, respectively, as the number of trenches or breakwaters increases. In contrast to trenches and breakwaters in isolation, non-zero minima in wave reflection occur in the presence of a semi-infinite plate. Moreover, the number of complete cycles in trenches is less than the number of complete cycles in breakwaters, irrespective of the presence of the floating structure. The frequency of occurrence of zero minimum in wave reflection is reduced in the presence of the semi-infinite plate, and wave reflection increases with an increase in rigidity of the floating plate. Time-dependent simulation of free surface displacement and plate deflection due to multiple undulations of seabed in the presence of the semi-infinite floating plate is demonstrated in different cases.

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Section: Semi-infinite Plate In the Absence Of Bottom Undulationsupporting

confidence: 85%

Section: Semi-infinite Plate In the Absence Of Bottom Undulationsupporting

confidence: 80%

Bragg Scattering of Surface Gravity Waves Due to Multiple Bottom Undulations and a Semi-Infinite Floating Flexible Structure

Kar

Koley

Trivedi

et al. 2021

Water

Self Cite

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“…2a-b. Results derived from these idealized experiments validated with relevant mathematical formulation (Kar et al, 2018). For the idealized cases, the bathymetric depression is termed as trenches hereafter.…”

Section: Hypothetical Navigation Channel Through Adam's Bridgementioning

confidence: 88%

“…Wave propagation in the presence of multiple trenches: Kar et al (2018) derived the wave attenuation and reflection characteristics to be more in the case of multiple trenches. To verify the fact, the present study performed sensitivity experiments using a constant bathymetry of 25 m (Fig.…”

Section: Wave Propagation Over Trenches With Constant Bathymetrymentioning

confidence: 99%

“…On the other hand, experimental studies (Bondzie and Panchang, 1993;Plant et al, 2009;Morelissen et al, 2003) addressed both regional and global wave-current-surge characteristics over complex bathymetry. Lee and Ayer (1981) and Kirby and Dalrymple (1983) postulated that nearshore dynamics are highly sensitive to submarine depressions in coastal waters; the diffraction model by Lee et al (2007) and unidirectional wave model by Kar et al (2018) derived the changes in the incident and transmitted wave characteristics over submarine pits (often called trenches in mathematical studies). Numerical modeling studies depicted the nearshore wave-surge transformation properties considering the effect of mangroves (Parvathy and Bhaskaran, 2017a, 2017b, 2019 and gradients in bathymetric profile (Sahoo and Bhaskaran, 2018;Sahoo et al, 2019) during extreme weather conditions.…”

Section: Introductionmentioning

confidence: 99%

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