The optimal design of membrane-based filters to remove harmful particles from water typically relies on time-consuming and expensive experimental work. In this project, you will develop mathematical and numerical methods to create digital twins of filters that allow for the rapid changing of design parameters such as membrane permeability and fluid density to optimize new designs without having to manufacture physical prototypes, thus reducing the time and cost of experimental testing. High computational efficiency and accuracy will be achieved by combining model order reduction methods (namely, proper generalized decomposition) and domain decomposition techniques.
Loughborough University adheres to the principles of the Athena SWAN Charter, the Race Equality Charter, and it has been named a Stonewall Diversity Champion. Find out more:https://www.lboro.ac.uk/schools/science/equity-diversity-inclusivity/.
Loughborough University’s School of Science has outstanding facilities, a vibrant research culture with an international reputation, and a diverse community of staff and students from around the world - the ideal place to progress your research career. Find out more: https://www.lboro.ac.uk/schools/science/
Loughborough University has an applied research culture. In REF 2021, 94% of the work submitted was judged to be top-rated as world-leading or internationally excellent. We are a community based on mutual support and collaboration. Through our Doctoral College there are continual opportunities for building important research skills and networks among your peers and research academics.
Supervisors
Primary supervisor: Dr Marco Discacciati
Tel: +44 (0)1509 223448
Email: [Email Address Removed]
Entry requirements for United Kingdom
This is a project in Computational Mathematics. Therefore, applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in Mathematics or a related subject. A relevant Master’s degree (e.g., Applied Mathematics, Computational Science and Engineering, Computational Mechanics) and/or experience in one or more of the following will be an advantage: mathematical modelling, numerical methods, 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.
Applicants must meet the minimum English language requirements. Further details are available on the International website (http://www.lboro.ac.uk/international/applicants/english/).
How to apply
All applications should be made online. Under programme name, select Mathematical Sciences. Please quote the advertised reference number: SCI23-MD2 in your application and ensure that you submit a CV and the minimum supporting documents. For more guidance, please also see the studentship assessment criteria.
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