Premium
A New Approach to the Problem of Scattering of Water Waves by Vertical Barriers
Author(s) -
Chakrabarti A.,
Vijayabharathi L.
Publication year - 1992
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19920720905
Subject(s) - integral equation , scattering , trigonometry , mathematical analysis , limiting , mathematics , jump , function (biology) , trigonometric functions , velocity potential , kernel (algebra) , physics , geometry , optics , boundary value problem , pure mathematics , engineering , quantum mechanics , mechanical engineering , evolutionary biology , biology
Using a modified Green's function technique the two well‐known basic problems of scattering of surface water waves by vertical barriers are reduced to the problem of solving a pair of uncoupled integral equations involving the “jump” and “sum” of the limiting values of the velocity potential on the two sides of the barriers in each case. These integral equations are then solved, in closed form, by the aid of an integral transform technique involving a general trigonometric kernel as applicable to the problems associated with a radiation condition.