Oblique scattering by thin vertical barriers in deep water : solution by multi-term Galerkin technique using simple polynomials as basis

This paper is concerned with scattering of obliquely incident surface waves by a thin vertical barrier which may be either partially immersed or completely submerged extending infinitely downwards in deep water. Instead of one-term Galerkin approximation involving the known solution of the integral...

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Bibliographic Details
Published in:Journal of marine science and technology 2018-12, Vol.23 (4), p.915-925
Main Authors: Das, B. C., De, Soumen, Mandal, B. N.
Format: Article
Language:English
Subjects:
Approximation
Automotive Engineering
Barriers
Configurations
Deep water
Engineering
Engineering Design
Engineering Fluid Dynamics
Fluid mechanics
Galerkin method
Integral equations
Mathematical analysis
Mathematical models
Mechanical Engineering
Methods
Naval engineering
Numerical analysis
Ocean waves
Offshore Engineering
Original Article
Polynomials
Reflectance
Reflection
Scattering
Surface waves
Water
Wavelengths
Weighting functions
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Summary:This paper is concerned with scattering of obliquely incident surface waves by a thin vertical barrier which may be either partially immersed or completely submerged extending infinitely downwards in deep water. Instead of one-term Galerkin approximation involving the known solution of the integral equation arising in the normal incidence problem, two-term Galerkin approximation involving simple polynomials as basis multiplied by appropriate weight function is used to solve the integral equations arising in the mathematical analysis of the oblique scattering problem. Very accurate numerical estimates for the reflection coefficient for each configuration of the barrier are obtained. The reflection coefficient is depicted graphically against the wavenumber and the incident angle for each configuration.
ISSN:0948-4280
1437-8213
DOI:10.1007/s00773-017-0520-4