Numerical methods for fluid flow problems in complex and evolving domains

Project description

Fluid equations either posed on curved domains or which define the evolution of a domain appear in many different applications including modelling of emulsions, foams and biological membranes. 

In this project, the student will be tasked with developing numerical methods for such problems by contributing to either deriving new models, developing and/or analysing numerical methods and implementing proposed schemes. The precise details of the project will depend on the background of the applicant and will be developed in conjunction with the supervisor.

The end goal for the project is to provide robust, efficient and accurate tools to develop our understanding of the application area chosen. Example projects range from developing methods for evolving curved triangulations based on numerical analysis of some simpler model problems to working with biologists to develop our understanding of biological locomotion.

Entry requirements

Applications are invited from candidates with a minimum of a UK upper second class honours degree (2:1), and/ or a Master's degree in a relevant subject. We also recognise relevant industrial and academic experience.

How to apply

Formal applications for research degree study should be made online through the university's website. Please state clearly in the research information section of your application, the name of the PhD you wish to apply for is 'Numerical methods for fluid flow problems in complex and evolving domains' as well as Dr Thomas Ranner as your proposed supervisor. In the funding section, please state 'School of Computing Funded Studentships' as your sponsor.

If English is not your first language, you must provide evidence that you meet the University’s minimum English Language requirements.

We welcome scholarship applications from all suitably-qualified candidates, but UK black and minority ethnic (BME) researchers are currently under-represented in our Postgraduate Research community, and we would therefore particularly encourage applications from UK BME candidates.  All scholarships will be awarded on the basis of merit.

If you require any further information please contact the Graduate School Office
e:, t: +44 (0)113 343 8000.