Deadline: 20 January 2014.Â
Start Date:Â April 2014
Supervisory Team: Primary Supervisor: Professor A. Korobkin Email: firstname.lastname@example.org
The project includes the following topics:
Modelling the breaking-wave flows and forces on and inside a porous structure. The novelty of this topic is the extreme unsteadiness of the forcing, due to the sudden wave impact. You will adapt and extend existing theories of violent flow inside a porous structure, with a view to describing the displacements of the solid elements that make up the structure.Â
Fluid-structure interaction. This topic is concerned with deformations of an elastic body responding to hydrodynamic excitations and simultaneously the modification of these excitations owing to the body deformation. Such problems are important in biology, medicine, naval fields, and industrial applications.
Filtering in Large Eddy Simulation. You will combine tools from theoretical and computational applied mathematics and numerical analysis to address fundamental issues in the development of explicit filtering techniques critical for Large Eddy Simulation for turbulence modelling of compressible flow.Â
Three Dimensional Water Waves over Topography (exchange with University of Adelaide). You will study water waves and how they interact with bottom topography. One reason for doing this is to provide a means for using surface observations (of the ocean surface, for example) to infer the shape and structure of the water bed.
Boundary Layer Flows past Multiple Aerofoils and/or Ground Effects. You will examine high Reynolds number flow past multiple aerofoils, focusing on three-dimensional arrangements (e.g. rotor blades) and/or ground effects.
Air Cushioning in Water Impact. During the final moments before the impact of a water droplet onto a wall, air cushioning can delay touchdown. We need to study stability of the flow and the influence of surface tension as touchdown is approached, and to investigate how air influences the splashing behaviour after impact has occurred.
More details about these topics and some other topics within the project can be found at www.uea.ac.uk/mathematics/research-degrees/fluids-solids
Entry Requirements:Â First degree (2.1) in Mathematics
Due to funding restrictions funding for PhD studentships from EPSRC is available to successful candidates who meet the UK Research Council eligibility criteria including the 3-year UK residency requirements. These requirements are detailed in the EPSRC eligibility guide which can be found at http://www.epsrc.ac.uk/skills/students/help/Pages/eligibility.aspx. In most cases UK and EU nationals who have been ordinarily resident in the UK for 3 years prior to the start of the course are eligible for a full-award. Other EU nationals may qualify for a fees only award. All candidates should check to confirm their eligibility for funding.
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