Back to search results

EPSRC Project Proposals 2025/26 - Numerical Computation of Interface Problems

University of Leeds - Faculty of Engineering and Physical Sciences

Qualification Type: PhD
Location: Leeds
Funding for: UK Students
Funding amount: £20,780 - please see advert
Hours: Full Time
Placed On: 8th July 2025
Closes: 31st July 2025

Number of Positions: 1

Funding: School of Computer Science Scholarship, providing the award of full academic fees, together with a tax-free maintenance grant at the standard UKRI rate of £20,780 per year for 3.5 years. 

Lead Supervisor’s full name & email address

Dr Thomas Ranner: T.Ranner@leeds.ac.uk

Project summary

Interface problems arise in many different areas of engineering, physical and life sciences. A typical example is the interface between two immiscible fluids separated by an interface governed by surface tension. A more complicated example would involve an active swimming (micro-) organism moving through different fluids. In this project, we are interested in developing moving mesh finite element methods for their dynamical simulation. We aim to produce efficient, accurate and robust computational tools.

The specific aspect of the project to be worked on will depend on the strengths of the candidate. Good projects in this area could include:

  • Mathematical or numerical analysis of the underlying partial differential equation system and our finite element approach. This could be based on our abstract framework
  • Developing and/or analysing novel approaches for transporting the computational mesh. This could be based on the discrete DeTurck trick
  • Developing and implementing methods and models for a specific application area such as active swimmers (in a variety of environments), tumour growth, surfactants, or any other relevant problem.

Informal enquires are welcome from all potential candidates. For more details, please contact Dr Thomas Ranner (T.Ranner@leeds.ac.uk). Machine learning applications to improve project cost, risk, and schedule performance

Please state your entry requirements plus any necessary or desired background

A first class or an upper second class British Bachelors Honours degree (or equivalent) in an appropriate discipline.

Candidates should have a strong undergraduate degree in a relevant area (including but not restricted to mathematics, physics or computer science). A suitable candidate for this project should have some knowledge of aspects of the design, analysis and/or implementation of finite element methods for partial differential equations. Prior experience in research (e.g. a Masters degree or work in industry) is a plus. 

Subject Area

Applied mathematics, computer science & IT, mathematics

We value your feedback on the quality of our adverts. If you have a comment to make about the overall quality of this advert, or its categorisation then please send us your feedback
Advert information

Type / Role:

Subject Area(s):

Location(s):

PhD tools
 

PhD Alert Created

Job Alert Created

Your PhD alert has been successfully created for this search.

Your job alert has been successfully created for this search.

Ok Ok

PhD Alert Created

Job Alert Created

Your PhD alert has been successfully created for this search.

Your job alert has been successfully created for this search.

Manage your job alerts Manage your job alerts

Account Verification Missing

In order to create multiple job alerts, you must first verify your email address to complete your account creation

Request verification email Request verification email

jobs.ac.uk Account Required

In order to create multiple alerts, you must create a jobs.ac.uk jobseeker account

Create Account Create Account

Alert Creation Failed

Unfortunately, your account is currently blocked. Please login to unblock your account.

Email Address Blocked

We received a delivery failure message when attempting to send you an email and therefore your email address has been blocked. You will not receive job alerts until your email address is unblocked. To do so, please choose from one of the two options below.

Max Alerts Reached

A maximum of 5 Job Alerts can be created against your account. Please remove an existing alert in order to create this new Job Alert

Manage your job alerts Manage your job alerts

Creation Failed

Unfortunately, your alert was not created at this time. Please try again.

Ok Ok

Create PhD Alert

Create Job Alert

When you create this PhD alert we will email you a selection of PhDs matching your criteria.When you create this job alert we will email you a selection of jobs matching your criteria. Our Terms and Conditions and Privacy Policy apply to this service. Any personal data you provide in setting up this alert is processed in accordance with our Privacy Notice

Create PhD Alert

Create Job Alert

When you create this PhD alert we will email you a selection of PhDs matching your criteria.When you create this job alert we will email you a selection of jobs matching your criteria. Our Terms and Conditions and Privacy Policy apply to this service. Any personal data you provide in setting up this alert is processed in accordance with our Privacy Notice

 
 
 
More PhDs from University of Leeds

Show all PhDs for this organisation …

More PhDs like this
Join in and follow us

Browser Upgrade Recommended

jobs.ac.uk has been optimised for the latest browsers.

For the best user experience, we recommend viewing jobs.ac.uk on one of the following:

Google Chrome Firefox Microsoft Edge