|Abstract: ||This thesis concerns the development of an exact or fully nonlinear numerical
model capable of describing surface water waves, including the occurrence of wave
breaking, and their interaction with structures. The motivation for this work
arose, first because of an inability to model limiting and overturning waves in
directionally-spread seas and, second because of an inability to describe some of
the highly nonlinear free-surface effects which arise when steep waves interact with
surface-piercing columns. On both counts the available design tools were known
to fall well short of accurately describing these important flows. The work has
involved the development of a three-dimensional, fully nonlinear, multiple-flux
Boundary Element Method (BEM) and has compared the results of this model to
detailed laboratory observations.
Quantitative comparisons of the numerical results to both new and existing
experimental data, much of which has been gathered as part of the study, are
presented. In order to accurately simulate the physical phenomenon associated
with wave-wave and wave-structure interactions, it is necessary to formulate, store
and solve very large systems of equations. Consequently, the three-dimensional
numerical code is executed using a parallel implementation. This is not only
necessary to maximise its time efficiency, but to also allow the feasible simulation
of realistic problems involving significant directional spreads. The applications of
the model include:
(a) Solitary waves overturning on impermeable plane beach slopes.
(b) Irregular (or unsteady) waves interacting with a vertical wall.
(c) Waves interacting with submerged breakwaters and underwater caissons.
(d) Overturning irregular waves, including descriptions of their associated water
particle kinematics throughout the water column.
(e) Waves interacting with surface-piercing columns, with details of the scattered
As a result of these studies, a new wave model has been fully validated, new numerical
descriptions have been obtained, and improved physical insights concerning
practically important problems have been realised.|