Projects per year
At high school I was lucky to benefit from the hard work of very fine teachers. They encouraged my interests in maths, physics and history from a young age. Later, I spent four years at Oxford University studying Mathematics: three years for my BA; one 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 Howell Peregrine. In 1992 I left Bristol to become a lecturer, then senior lecturer at UEA. Since retiring in September 2021, I'm a Visitor and Honorary Associate Professor in MTH.
Key Research Interests
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 waves, notice the 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 displacements 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 (safe ditching) in recent PhD and postdoc projects. Since retiring, my mathematical interests have widened. I have also submitted new fluid mechanical research on the dam-break problem on a sloping hillside.
Areas of Expertise
Sea waves; wave damage; mathematics of liquid motion; history of mathematics.
For undergraduates my lecturing and project supervision experience embraced fluid mechanics (years 2,3,4). Also the history of mathematics (year 3), particularly tracing ideas in the differential and integral calculus since the ancient Greeks. My lectures included a stream in `Maths for Scientists' for years 1-2. This includes complex numbers and differential eqs, integration, series and elementary fluid mechanics -- all elements in modelling natural processes. I also lectured complex analyis to year-2 students. I have lectured at all academic levels from Basic Maths I and II (for Foundation-Years) all the way up to advanced topics for postgraduates, such as Research Skills and Nonlinear Waves. Final-year MMath + BSc projects include oscillating lighted candles; how a person stays warm (or keeps cool); the Spiral of Archimedes; wind gusts on trees; dynosaur flight; how a thrown stone can bounce on a water surface.
Doctor of Philosophy, University of Bristol
30 Sep 1986 → 1 Mar 1990
Award Date: 1 Jan 1990
Master of Science, University of Oxford
10 Jan 1984 → 1 Sep 1985
Award Date: 30 Sep 1985
Bachelor of Arts, University of Oxford
1 Oct 1981 → 1 Jun 1984
Award Date: 1 Jul 1984
Dive into details
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- 3 Finished
SMAES: SMart Aircraft in Emergency Situations
1/04/11 → 31/12/14
Separation effects in water impact problems
Korobkin, A., Cooker, M. & Norkin (South Federal), M.
1/04/09 → 31/03/11
24th Workshop on Water Waves and Floating Bodies
Korobkin, A., Cooker, M., Ermanyuk, E., Khabakpasheva, T., Kim, Y., Malencia, S., Parau, E. & Plotnikov, P.
Office of Naval Research Global
30/01/09 → 19/04/10
Reductions in water level over coastal wetlands during storm surges and tsunamis: an analytical result and a critical review of the literatureGrant, A. & Cooker, M. J., Aug 2023, In: Coastal Engineering. 183, 104328.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile
Gravity effect on water entry during an early stageZekri, H. J., Korobkin, A. A. & Cooker, M. J., 10 Jun 2021, In: Journal of Fluid Mechanics. 916, A10.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile2 Downloads (Pure)
Johannes Kepler and his making of the Rudolphine TablesCooker, M., Nov 2021, In: The Mathematical Gazette. 105, 564, p. 425-432 8 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile6 Downloads (Pure)
The impact of a deep-water plunging breaker on a wall with its bottom edge close to the mean water surfaceWang, A., Ikeda-Gilbert, C. M., Duncan, J. H., Lathrop, D. P., Cooker, M. J. & Fullerton, A. M., 25 May 2018, In: Journal of Fluid Mechanics. 843, p. 680-721 42 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile7 Citations (Scopus)18 Downloads (Pure)
The influence of scale on the air flow and pressure in the modelling of Oscillating Water Column Wave Energy ConvertersDimakopoulos, A., Cooker, M. & Bruce, T., Sep 2017, In: International Journal of Marine Energy. 19, p. 272-291 20 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile17 Citations (Scopus)13 Downloads (Pure)