Interaction between long water waves and two fixed submerged breakwaters of wavy surfaces

Bautista, E.; Bahena-Jimenez, S.; Quesada, A.; Méndez, F.; Arcos, E.

doi:10.1016/j.wavemoti.2022.102926

Cited by 6 publications

(1 citation statement)

References 23 publications

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“…For instance, within the framework of typical inviscid and irrotational assumptions for water waves, the scattering of linear progressive waves due to a rectangular obstacle either fixed at the free surface or resting on a flat solid seabed was studied analytically by the method of eigenfunction expansions with both reflection and transmission coefficients, representing the most prominent scattering properties for practical engineering considerations, being obtained as functions of water depths, incident wave periods, and the physical dimensions of the obstacles [7]. Submerged obstacles of rectangular shape, i.e., a stationary structure situated internally within the water body, have also been studied analytically using the same mathematical technique of eigenfunction expansions [8][9][10][11][12], with the theoretical results revealing that, under a linear progressive wave, both reflection and transmission coefficients and the magnitude of wave forces exerted on the obstacle show oscillatory patterns with respect to the change in the obstacle length [11].…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation into the Effects of a Viscous Fluid Seabed on Wave Scattering with a Fixed Rectangular Obstacle

2022

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We study numerically the effects of a viscous fluid seabed on wave scattering with a solid obstacle of rectangular shape fixed at the free surface, on the seafloor, or internally within the water layer. The computational model is based on OpenFOAM and it is validated using existing analytical solutions for waves encountering an obstacle on a solid bed and available experimental data for waves propagating over a muddy seabed with no obstacles. With the consideration of a solid obstacle on a viscous fluid bottom, we examine the corresponding transformations of incident, reflected, and transmitted wave components. The velocity field near the obstacle and the wave forces exerted on the obstacle are also analyzed. Our simulations show that all wave components experience significant amplitude attenuation caused by the viscous fluid bed. For both surface and bottom obstacles, the presence of an obstacle enhances the damping of reflected waves. When an internally submerged obstacle is considered, transmitted waves are the most affected due to a prominent vortex generated in the lee of the obstacle. Patterns of the velocity field in the vicinity of the obstacle are shown to be controlled mainly by the obstacle with some modulations in magnitude and wavelength contributed by the viscous fluid bed. In view of the vertical wave force on the obstacle surface, both a phase shift and decrease in magnitude are observed. These findings enhance our understanding of the underlying physical processes in the wave–obstacle–mud problems. More studies are still needed in order to provide the necessary technical tools for the engineering design of coastal structures in muddy marine environments.

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