When a sea wave
travels from deeper into shallower coastal, it tends to steepen and overturn as
a breaking wave. A breaking wave can exert damaging forces on a structure in
its path. The force of impact is impulsive, both very large and short lived. Cooker
and Peregrine (1995) models the impulsive pressure distribution in impacting
wave water, and the total impulse on a structure. Violent flows such as these
can be modelled mathematically by solving appropriate mixed boundary-value
problems. One challenge of this project is to extend the mathematics to describe
influences from the third dimension of the fluid domain, on the distribution of
impulsive pressures. This is important to do when a breaking wave hits a realistic
structure (not just a plane surface). For example, re-entrant corners in a
seawall are known to cause an increase in impulsive loads, and damage starts at
such corners. The influence of the third dimension was examined by Cox and
Cooker (2001), who modelled violent flows in the confined space of a seawall
crack. Wave-impact pressure acts to enlarge existing cracks.
In this PhD
project, the student will learn to model time-dependent impacting flows, using
inviscid fluid mechanics, by setting up mixed boundary-value problems. You will
learn techniques for solving the equations : with exact analysis, asymptotic
methods and efficient computation.
interpretation of results has important consequences for the abrupt change in
the velocity field of the wave-water, and for the distribution of maximum
pressure during impact especially when a
structure can yield to the wave force exerted on it. See reviews of Cooker
2013) and Chatjigeorgiou et al. (2016).
The PhD student can also explore new areas of violent wave flows near
This PhD project is offered on a self-funding
basis. It is open to applicants with funding or those applying to funding
of tuition fees can be found at http : / / www.uea.ac.uk / study / postgraduate / research-degrees / fees-and-funding.
A bench fee is
also payable on top of the tuition fee to cover specialist equipment or
laboratory costs required for the research.
The amount charged annually will vary
considerably depending on the nature of the project and applicants should
contact the primary supervisor for further information about the fee associated
with the project.