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Computational modelling at the interface between a fluid and a porous medium

   Department of Mathematical Sciences

  Dr M Discacciati  Saturday, July 01, 2023  Self-Funded PhD Students Only

About the Project

Fluids filtering through porous media can be found everywhere in nature and they play a fundamental role in many industrial contexts. Water percolating through rocks and sand, blood perfusing the tissues of our body, drinking water purified by porous membranes are just a few important examples of filtration. Formulating accurate mathematical models of this physical phenomenon is key for scientists and engineers to predict and optimize filtration, but this is still an open problem because of the complexity of the flow patterns occurring during filtration.

In this project, you will combine mathematical modelling and domain decomposition techniques to develop novel and efficient computer-based models to represent filtration by separately describing how the fluid moves outside and inside the porous medium, and by then coupling these distinct models at the interface between the fluid and the porous medium.


Marco Discacciati


Tel: +44 1509 223448

Entry requirements for United Kingdom

Students should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in Applied Mathematics or a related subject. A relevant master’s degree and/or experience in one or more of the following will be an advantage: mathematical modelling, numerical methods, and computer programming. Enthusiasm, creativity, critical thinking, and willingness to work as part of a team are expected from all applicants.

English language requirements

Applicants must meet the minimum English language requirements. Further details are available on the International website.

Find out more about research degree funding

How to apply

All applications should be made online. Under programme name, select Mathematical Sciences. Please quote the advertised reference number: MA/MD-Un1/2023 in your application.

To avoid delays in processing your application, please ensure that you submit the minimum supporting documents.

Apply now

Funding Notes

Tuition fees cover the cost of your teaching, assessment and operating University facilities such as the library, IT equipment and other support services. University fees and charges can be paid in advance and there are several methods of payment, including online payments and payment by instalment. Fees are reviewed annually and are likely to increase to take into account inflationary pressures.
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