Biography

At high school I was lucky to be benefit from the hard work of very fine teachers. They encouraged my wide interests in mathematics, physics and history from a young age. Later, I spent four years at Oxford University studying Mathematics: three years for my BA, then a year for my MSc in Mathematical Modelling and Numerical Analysis. Afterwards I was employed in industry, devising predictive methods and computer programs for a diesel manufacturer. I moved on to Bristol University, to be employed as a research associate. There I worked for my PhD in breaking waves, and in postdoctoral research, all supervised by the late Professor D.Howell Peregrine. In Nov. 1992 I left Bristol to become a lecturer, now a senior lecturer, at UEA. 

Website: https://www.uea.ac.uk/mathematics/people/profile/m-cooker

Follow this link for details of current PhD opportunities in Mathematics. But feel free to email me to discuss projects outside these areas and alternative sources of funding.

All Publications

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Wang, A., Ikeda-Gilbert, C. M., Duncan, J. H., Lathrop, D. P., Cooker, M. J., Fullerton, A. M.

(2018)

The impact of a deep-water plunging breaker on a wall with its bottom edge close to the mean water surface,

in Journal of Fluid Mechanics

843

pp. 680-721

Full Text UEA Repository

(Article)

(E-pub ahead of print)


Chatzigeorgiou, I., Korobkin, A., Cooker, M.

(2017)

Three-dimensional steep wave impact on a vertical plate with an open rectangular section,

in International Journal of Engineering Science

133

pp. 260-272

Full Text UEA Repository

(Article)

(Published)


Dimakopoulos, A., Cooker, M., Bruce, T.

(2017)

The influence of scale on the air flow and pressure in the modelling of Oscillating Water Column Wave Energy Converters,

in International Journal of Marine Energy

19

pp. 272-291

Full Text UEA Repository

(Article)

(Published)


Alexander, J., Cooker, M.

(2016)

Moving boulders in flash floods and estimating flow conditions using boulders in ancient deposits,

in Sedimentology

63

(6)

pp. 1582–1595

Full Text UEA Repository

(Article)

(Published)


Chatjigeorgiou, I., Cooker, M., Korobkin, A.

(2016)

Three-dimensional water impact at normal incidence to a blunt structure,

in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

472

(2192)

article no. RSPA20150849

Full Text UEA Repository

(Article)

(Published)


Chatjigeorgiou, I. K., Korobkin, A. A., Cooker, M. J.

(2016)

Three-dimensional steep wave impact on a vertical cylinder,

in Journal of Hydrodynamics

28

(4)

pp. 523-533

Full Text UEA Repository

(Article)

(Published)


Cooker, M.

(2016)

Some mathematics for splashes: sea-wave impact on coastal structures,

in UK Success Stories in Industrial Mathematics.

Springer

pp. 83-90

ISBN 978-3-319-25452-4

Full Text

(Chapter (peer-reviewed))

(Published)


Reinhard, M., Korobkin, A. A., Cooker, M. J.

(2016)

Cavity formation on the surface of a body entering water with deceleration,

in Journal of Engineering Mathematics

96

(1)

pp. 155-174

Full Text UEA Repository

(Article)

(Published)


Rickett, L., Penfold, R., Blyth, M., Purvis, R., Cooker, M.

(2015)

Incipient mixing by Marangoni effects in slow viscous flow of two immiscible fluid layers,

in IMA Journal of Applied Mathematics

80

(5)

pp. 1582-1618

Full Text UEA Repository

(Article)

(Published)


Dimakopoulos, A., Cooker, M., Medina Lopez, E., Longo, D., Pinguet, R.

(2015)

Flow characterisation and numerical modelling of OWC wave energy converters,

Full Text

(Poster)

(Published)


Chatjigeorgiou, I., Korobkin, A. A., Cooker, M. J.

(2015)

Two-dimensional breaking wave impact on a vertical wall,

in Proceedings of the 30th International Workshop on Water Waves and Floating Bodies.

Full Text UEA Repository

(Conference contribution)

(Published)


Zekri, H. J., Korobkin, A. A., Cooker, M. J.

(2015)

Liquid sloshing and impact in a closed container with high filling,

in Proceedings of the 30th International Workshop on Water Waves and Floating Bodies.

Full Text UEA Repository

(Conference contribution)

(Published)


Chatjigeorgiou, I., Cooker, M., Korobkin, A.

(2015)

Two-dimensional wave impact on a perforated cylinder,

in Proceedings of the 7th international conference on hydroelasticity in marine technology.

UEA Repository

(Conference contribution)

(Published)


Tassin, A., Korobkin, A. A., Cooker, M. J.

(2014)

On analytical models of vertical water entry of a symmetric body with separation and cavity initiation,

in Applied Ocean Research

48

pp. 33-41

Full Text UEA Repository

(Article)

(Published)


Hicks, P. D., Cooker, M. J., Matthews, A. J.

(2014)

Saturation front evolution for liquid infiltration into a gas filled porous medium with counter-current flow,

in European Journal of Mechanics - B/Fluids

43

pp. 202-215

Full Text UEA Repository

(Article)

(Published)


Gropengießer, W., Tassin, A., Korobkin, A., Cooker, M., Martin, L., Rung, T.

(2014)

Advancement of semi-analytical methods for simulation of aircraft ditching,

in Proceedings of 11th WCCM/5th ECCM.

UEA Repository

(Conference contribution)

(Published)


Macdonald, R. G., Alexander, J., Bacon, J. C., Cooker, M. J.

(2013)

Variations in the architecture of hydraulic-jump bar complexes on non-eroding beds,

in Sedimentology

60

(5)

pp. 1291-1312

Full Text UEA Repository

(Article)

(Published)


Tassin, A., Piro, D., Korobkin, A., Maki, K., Cooker, M.

(2013)

Two-dimensional water entry and exit of a body whose shape varies in time,

in Journal of Fluids and Structures

40

pp. 317-336

Full Text UEA Repository

(Article)

(Published)


Reinhard, M., Korobkin, A. A., Cooker, M. J.

(2013)

Water entry of a flat elastic plate at high horizontal speed,

in Journal of Fluid Mechanics

724

pp. 123-153

Full Text UEA Repository

(Article)

(Published)


Cooker, M.

(2013)

A theory for the impact of a wave breaking onto a permeable barrier with jet generation,

in Journal of Engineering Mathematics

79

pp. 1-12

Full Text UEA Repository

(Article)

(Published)


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Key Research Interests

Applied Mathematics

Fluid Mechanics

Free surface flows and water waves.


My research is in the fluid mechanics of unsteady water waves, breaking waves and free surfaces. I have an ongoing interest in violent flows, such as splashes and liquid jets. One reason for trying to solve free boundary problems of this type is to account for the extremely high pressures and forces on structures struck by water waves, such as ships and harbour walls. The next time you are at the beach watching the waves, notice the jet or arch of water made by an overturning wave. It contains water whose acceleration can exceed 4g. When waves impact cliffs and seawalls the water undergoes even higher acceleration. Such impacts are an especially vigorous class of violent flow. Examples include (i) a sea wave breaking onto a vertical harbour wall, and (ii) a ship plunging into an oncoming series of waves (a `head-sea'). PhD students with my supervision have worked in these areas, e.g.  modelling the displacement of shingle and boulders on beaches struck by waves; another project was on the most highly accelerated liquid jets. I also have an interest in the safe landing of aircraft onto water (ditching) in recent PhD and postdoc projects. An on-going shared project, with a Visiting Fellow, is wave-impact forces on open structures, e.g. offshore wind turbines.

Teaching Interests

For undergraduates my lectures and project supervisions (maths and science students) embrace fluid mechanics (years 2,3,4) and the history of mathematics (year 3), particularly tracing ideas in the differential and integral calculus since the ancient Greeks. My lectures include a stream `Maths for Scientists' for years 1-2: complex numbers and solving differential equations, integration and later elementary fluid mechanics. These are the elements for modelling natural processes. I have also taught Basic Maths  I and II to Foundation Year students, and advanced topics to postgrads, e.g. research skills and in nonlinear waves. Final-year MMath projects and BSc projects include modelling an oscillating lighted candle, a person trying to keep warm (or cool), the effect of a wind-gust on a tree, dynosaur flight and how a thrown stone can bounce repeatedly on a lake’s surface. 

Key Responsibilities

 

  • Deputy Teaching Director for MTH -- Induction, Attendance etc.
  • Outreach and Engagement coordinator, MTH.
  • "Mathematics with a Foundation Year" programme specialist. 
  • Natural Sciences coordinator for MTH.
  • SCI Faculty Appeals and Complaints Panel member.