Water wave scattering by a vertical porous barrier with two gaps

M. Sivanesan; S. R. Manam

doi:10.21914/anziamj.v61i0.13336

Authors

M. Sivanesan Indian Institute of technology Madras http://orcid.org/0000-0002-0113-0582
S. R. Manam Indian Institute of technology Madras

DOI:

https://doi.org/10.21914/anziamj.v61i0.13336

Keywords:

potential, reflection coefficient, porous barrier, mixed boundary value problem.

Abstract

Explicit solutions are rarely available for water wave scattering problems. An analytical procedure is presented here to solve the boundary value problem associated with wave scattering by a complete vertical porous barrier with two gaps in it. The original problem is decomposed into four problems involving vertical solid barriers. The decomposed problems are solved analytically by using a weakly singular integral equation. Explicit expressions are obtained for the scattering amplitudes and numerical results are presented. The results obtained can be used as a benchmark for other wave scattering problems involving complex geometrical structures. doi:10.1017/S1446181118000299

Author Biographies

M. Sivanesan, Indian Institute of technology Madras

Indian Institute of Technology Madras, Chennai 600036, India.

S. R. Manam, Indian Institute of technology Madras