Mathematical modelling of impact pressures due to breaking sea waves
United Kingdom
6d ago

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.

The physical

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

sources. Details

of tuition fees can be found at http : / / / 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.

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