TECHNICAL PAPERS
Jul 1, 1997

Oblique Wave Diffraction by Parallel Thin Vertical Barriers with Gaps

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 123, Issue 4

Abstract

The problem of oblique water wave diffraction by two equal thin, parallel, fixed vertical barriers with gaps present in uniform finite-depth water is investigated here. Three types of barrier configurations are considered. A one-term Galerkin approximation is used to evaluate upper and lower bounds for reflection and transmission coefficients for each configuration. These bounds are seen to be very close numerically for all wave numbers and as such their averages produce good numerical estimates for these coefficients. Only the bounds for the reflection coefficient are numerically computed. These are also numerically compared with the results obtained by using multiterm Galerkin approximations involving Chebyshev polynomials for a wide range of parameters. Numerical results for the reflection coefficients for the three barrier configurations are presented graphically. It is seen that total reflection occurs only for the surface-piercing barriers while total transmission occurs for all the three configurations considered here. It is also observed that the introduction of an equal second barrier to a submerged barrier increases the reflection coefficient considerably in some frequency bands and as such submerged double barrier configurations are preferable to a submerged single barrier for the purpose of reflecting more wave energy into the open sea.

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References

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Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 123Issue 4July 1997
Pages: 163 - 171

History

Published online: Jul 1, 1997
Published in print: Jul 1997

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Authors

Affiliations

Pulak Das
Former Res. Student of Phys. and Appl. Mathematics Unit, Indian Statistical Inst., 203 B. T. Rd., Calcutta 700 035, India.
D. P. Dolai
NBHM Post Doctoral Fellow of Phys. and Appl. Mathematics Unit, Indian Statistical Inst., 203 B. T. Rd., Calcutta 700 035, India.
B. N. Mandal
Prof., Phys. and Appl. Mathematics Unit, Indian Statistical Inst., 203 B. T. Rd., Calcutta 700 035, India.

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