Creator:

Dolai, P.

Contributor:

Jurczak, Paweł - red.

Title:

Oblique water wave diffraction by a step

Group publication title:

IJAME, volume 22 (2017)

Subject and Keywords:

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

Abstract:

This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step. 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 ultraspherical Gegenbauer polynomials are utilized to obtain a very accurate numerical estimate for reflection and transmission coefficients which are depicted graphically. From these figures various interesting results are discussed.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2017

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.1515/ijame-2017-0003

Pages:

35-47

Source:

IJAME, volume 22, number 1 (2017)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego