In this book an introduction is given to aspects of water waves
that play a role in ship hydrodynamics and offshore engineering. At
first the equations and linearized boundary conditions are derived
describing the non-viscous free surface water waves, with special
attention to the combination of steady and non-steady flow fields.
Then some simple kinds of free wave solutions are derived, such as
plane waves and cylindrical waves. For several situations, steady
and unsteady, the source singularity function is derived. These
functions play a role in numerical codes used to describe the
motion of ships and offshore structures. These codes are mostly
based on a boundary integral formulation; therefore we give an
introduction to these methods. It is shown how first order ship
motions can be determined. In offshore engineering the second order
wave drift motions play an important role. An introduction to this
phenomenon is given and the effects which have to be taken into
account are explained by means of a simple example where we can
determine nearly all the aspects analytically. An interesting
example that is worked out is the motion of very large floating
flexible platforms with finite draft. Finally an introduction to
the theory of shallow water non-linear dispersive waves is
presented, and shallow water ship hydrodynamics, that plays a role
in coastal areas and channels is treated. Here attention is paid to
the interaction between passing ships in restricted water. In the
appendix a short introduction to some of the mathematical tools is
given.
General
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