|Table of Contents|

Citation:
 H. Behera,S. Ghosh.Oblique Wave Trapping by a Surface-Piercing Flexible Porous Barrier in the Presence of Step-Type Bottoms[J].Journal of Marine Science and Application,2019,(4):433-443.[doi:10.1007/s11804-018-0036-2]
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Oblique Wave Trapping by a Surface-Piercing Flexible Porous Barrier in the Presence of Step-Type Bottoms

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Title:
Oblique Wave Trapping by a Surface-Piercing Flexible Porous Barrier in the Presence of Step-Type Bottoms
Author(s):
H. Behera12 S. Ghosh123
Affilations:
Author(s):
H. Behera12 S. Ghosh123
1 SRM Research Institute, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India;
2 Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, India;
3 NLPCU, Faculty of Sciences, Université libre de Bruxelles, Brussels, Belgium
Keywords:
Oblique incident waveWave trappingSurface-piercingFlexible porous barrierMild-slope approximationLeast squares approximation
分类号:
-
DOI:
10.1007/s11804-018-0036-2
Abstract:
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.

References:

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Memo

Memo:
Received date:2017-09-21;Accepted date:2018-01-08。
Corresponding author:H. Behera,hkb.math@gmail.com;S. Ghosh,sukhendu.math@gmail.com
Last Update: 2020-02-04