ANZIAM J.
48 (2006), 107117

Water wave scattering by two submerged nearly vertical barriers

B. N. Mandal
Physics and Applied Mathematics Unit
Indian Statistical Institute
203 B.T. Road
Kolkata 700 108
India
biren@isical.ac.in



Soumen De
Physics and Applied Mathematics Unit
Indian Statistical Institute
203 B.T. Road
Kolkata 700 108
India



Abstract

The problem of surface water wave scattering by
two thin nearly vertical barriers submerged in
deep water from the same depth below the mean
free surface and extending infinitely downwards
is investigated here assuming linear theory,
where configurations of the two barriers are
described by the same shape function. By
employing a simplified perturbational analysis
together with appropriate applications of Green's
integral theorem, firstorder corrections to the
reflection and transmission coefficients are
obtained. As in the case of a single nearly
vertical barrier, the firstorder correction to
the transmission coefficient is found to vanish
identically, while the correction for the
reflection coefficient is obtained in terms of a
number of definite integrals involving the shape
function describing the two barriers. The result
for a single barrier is recovered when two
barriers are merged into a single barrier.

Download the article in PDF format (size 119 Kb)


Australian Mathematical Publishing Association Inc.

©
Australian MS

