Wave interaction with a bottom-mounted body in front of a vertical wall
using an exact DtN boundary condition
Abstract
Recently, Rim et al.1 proposed an exact Dirichlet-to-Neumann (DtN)
boundary condition to study the water wave motion over undulated seabed
by wave diffraction. This paper focuses on linear wave interaction with
a bottom-mounted body near a vertical wall. The water domain is
separated into an exterior subdomain and an interior one by a virtual
cylindrical surface or so-called an artificial boundary which encloses
not only the original body but also its imaginary one about the vertical
wall. The wave interaction with the bodies in the interior subdomain is
solved by using a boundary integral equation with an exact DtN operator
on the artificial boundary which is derived from a velocity potential in
the exterior subdomain. Upon successful verification of the present
approach by comparison with the results of ANSYS AQWA for a
bottom-mounted vertical circular cylinder near the wall, the model is
extended to a vertical cylinder with cross section of rounded rectangle.