- Email: email@example.com
- Thesis title: Variational water-wave models and pyramidal freak waves, with implications for global shipping
I am a PhD student working on a Marie Curie European Industry Doctorate (EID) project in the Department of Applied Mathematics at the University of Leeds. My project is supervised by Prof. Onno Bokhove and Prof. Mark Kelmanson and aims to develop variational mathematical and numerical water wave models and pyramidal freak waves. This project is also in collaboration with the Maritime Research Institute of Netherlands (MARIN), where I spent the second half of my PhD (EU-secondment, from March 2016) and test the models against experiments.
By their huge surface and the winds covering them, the oceans are ideal to create the future energy and thus widely exploited by the wind power industry. Offshore platforms or wind turbines must be designed to resist the load and stress applied by the waves, whose structure is complex due to non-linearity and the dynamic free surface between water and air. The formulation and the simulation of an accurate mathematical and numerical model of non-linear unbroken waves is necessary to estimate these external forces and design reliable and durable structures.
Variational models of potential-flow water waves both in shallow and deep water are derived and simulated numerically using the discontinuous Galerking finite element method. The Maritime Research Institute of Netherlands (MARIN) provides wave basins available for experiments, set with wave makers on two sides, bottom topography and beaches. The models thus include wave-makers and a beach in order to compare the simulations with measurements in MARIN's basins.
Among the waves the offshore installations are facing, some particularly destructive ones, called rogue or freak waves, have caused a lot of damage in the last years. Generating these waves at a given position in the basin enables to test their strengh against wind-turbine models. These surface gravity waves of high amplitude (at least twice the height of the other sea waves) appear in non-linear dispersive water, through the intersection of two solitary waves, or one solitary wave and its oblique reflection on a vertical wall. The wave makers can be used numerically and experimentally, to simulate and generate these waves.