Havelock expansion
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.
2017
Jurczak, Paweł - red.
Dolai, P.
finite step
reflection coefficients
eng
Zielona Góra: Uniwersytet Zielonogórski
2017
Gegenbauer polynomial
Biblioteka Uniwersytetu Zielonogórskiego
Galerkin approximation
artykuł
transmission coefficients
CC 4.0
application/pdf
Oblique water wave diffraction by a step
IJAME, volume 22, number 1 (2017)