Oblique Wave Trapping by a Surface-Piercing Flexible Porous Barrier in the Presence of Step-Type Bottoms

The present study deals with the oblique wave trapping by a surface-piercing flexible porous barrier near a rigid wall in the presence of step-type bottoms under the assumptions of small amplitude water waves and the structural response theory in finite water depth. The modified mild-slope equation...

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Bibliographic Details
Published in:Journal of marine science and application 2019-12, Vol.18 (4), p.433-443
Main Authors: Behera, H., Ghosh, S.
Format: Article
Language:English
Subjects:
Approximation
Approximation method
Boundary value problems
Electrical Machines and Networks
Elevation
Engineering
Geotechnical Engineering & Applied Earth Sciences
Incidence angle
Machinery and Machine Elements
Mathematical analysis
Offshore Engineering
Piercing
Porosity
Power Electronics
Reflectance
Reflection
Research Article
Rigid walls
Rigidity
Trapping
Water depth
Water waves
Wave forces
Wave number
Wave trapping
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Summary:The present study deals with the oblique wave trapping by a surface-piercing flexible porous barrier near a rigid wall in the presence of step-type bottoms under the assumptions of small amplitude water waves and the structural response theory in finite water depth. The modified mild-slope equation along with suitable jump conditions and the least squares approximation method are used to handle the mathematical boundary value problem. Four types of edge conditions, i.e., clamped-moored, clamped-free, moored-free, and moored-moored, are considered to keep the barrier at a desired position of interest. The role of the flexible porous barrier is studied by analyzing the reflection coefficient, surface elevation, and wave forces on the barrier and the rigid wall. The effects of step-type bottoms, incidence angle, barrier length, structural rigidity, porosity, and mooring angle are discussed. The study reveals that in the presence of a step bottom, full reflection can be found periodically with an increase in (i) wave number and (ii) distance between the barrier and the rigid wall. Moreover, nearly zero reflection can be found with a suitable combination of wave and structural parameters, which is desirable for creating a calm region near a rigid wall in the presence of a step bottom.
ISSN:1671-9433
1993-5048
DOI:10.1007/s11804-018-0036-2