Creator:

Dolai, P. ; Dolai, D.P.

Contributor:

Jurczak, Paweł - red.

Title:

Scattering of oblique water waves by an infinite step

Group publication title:

IJAME, volume 23 (2018)

Subject and Keywords:

infinite step ; Havelock expansion ; Galerkin approximation ; Gegenbauer polynomial ; reflection coefficients ; transmission coefficients

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:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2018

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.2478/ijame-2018-0018

Pages:

327-338

Source:

IJAME, volume 23, number 2 (2018)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego