Scattering of Oblique Water Waves by an Infinite Step-Reference-Cited by-同舟云学术

Scattering of Oblique Water Waves by an Infinite Step

Published:2018-05-01 Issue:2 Volume:23 Page:327-338
ISSN:2353-9003
Container-title:International Journal of Applied Mechanics and Engineering
language:en
Short-container-title:

Author:

Dolai P.¹,Dolai D.P.²

Affiliation:

1. Department of Mathematics, Prasannadeb Women’s College , Jalpaiguri - 735101 , West Bengal, India

2. River Research Institute , West Bengal, Haringhata Central Laboratory , Mohanpur, Nadia, Pin- 741246 , India

Abstract

Abstract The present paper is concerned with the problem of scattering of obliquely incident surface water wave train passing over a step bottom between the regions of finite and infinite depth. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultra spherical Gegenbauer polynomials are utilized to obtain very accurate numerical estimates for reflection and transmission coefficients. The numerical results are illustrated in tables.

Publisher

Walter de Gruyter GmbH

Subject

Fluid Flow and Transfer Processes,Transportation,Civil and Structural Engineering

Link

https://www.sciendo.com/pdf/10.2478/ijame-2018-0018

Reference20 articles.

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4. [4] Porter D. (1972): The transmission of surface waves through a gap in a vertical barrier. – Proc. Camb. Phil. Soc., vol.71, pp.411-422.10.1017/S0305004100050647

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