This is a centrally maintained page and not everything presented here is accurate. I maintain a personal webpage here https://people.maths.bris.ac.uk/~marp/

Wave Phenomena

I am interested in problems relating to the interaction of waves with structures in a variety of settings including fluids, elasticity, electromagnetics and acoustics. The main application areas are:

1. Theoretical modelling of ocean wave energy converters.
2. Metamaterials in water waves and acoustics.
3. The interaction between ice sheets and ocean waves.
4. Water wave propagation over variable bathymetry.
5. The interaction of ocean waves with very large/complex structures.
6. Trapped waves, edge waves and near trapping.

PhD Projects

Bespoke control of water waves using metamaterials

Metamaterials are man-made structures which include a microscale, significantly smaller than the underlying macroscale variables. The design of the microscale elements can lead to unusual and complex effects on properties of the solution. I am interested in using and developing metamaterials in a water wave setting to control the propagation of ocean waves for a variety of interesting and practical applications. These include ocean wave energy capture.

Waves in broken ice

Not that far removed from the topic above, since we imagine that the lengthscale of broken ice is much smaller than that of the waves propagating through. The topic of interest here is developing effective macroscale models which capture the local effects of the broken ice without having to computationally solve on a local scale. This is important in developing climate models which require the interaction of geophysical effects at the interface between the atmosphere/ocean boundaries.