Solution of the problem of scattering of water waves by a nearly vertical plate
1994 ◽
Vol 35
(3)
◽
pp. 382-395
◽
Keyword(s):
AbstractAn approximate solution is determined for the problem of scattering of water waves by a nearly vertical plate, by reducing it to two mixed boundary-value problems (BVP) for Laplace's equation, using perturbation techniques. While the solution of one of these BVP is well-known, the other BVPs is reduced to the problem of solving two uncoupled problems, and the complete solution of the problem under consideration up to first-order accuracy is derived with a special assumption on the shape of the plate and a related approximation. Known results involving the reflection and transmission coefficients are reproduced.
1998 ◽
Vol 40
(2)
◽
pp. 171-189
1984 ◽
Vol 96
(2)
◽
pp. 359-369
◽
1968 ◽
Vol 64
(3)
◽
pp. 795-810
◽
2017 ◽
Vol 22
(6)
◽
pp. 827-851
◽
1973 ◽
Vol 71
(3)
◽
pp. 181-192
◽
1995 ◽
Vol 36
(3)
◽
pp. 372-380
◽