PhD in Thermofluid Topology Optimisation University of Southampton in United Kingdom

This PhD project at the University of Southampton, supervised by Professor Ali Elham, focuses on developing a next-generation high-fidelity topology optimisation (TopOpt) framework for thermofluid systems. The research aims to advance simulation-driven design tools that automatically generate complex flow and heat transfer structures, outperforming conventional designs in energy and cooling applications.

Topology optimisation, a powerful tool in structural mechanics, is rapidly emerging in thermal-fluid applications. This project seeks to extend and enhance an existing thermofluid TopOpt platform to address multi-objective performance criteria, manufacturing constraints, and large-scale computational domains relevant to real-world energy and transport systems.

As a PhD student, you will develop and test advanced algorithms capable of capturing key flow and heat transport behaviours within a robust optimisation loop. The work involves high-fidelity numerical solvers for fluid flow and heat transfer, integrated with automatic differentiation and scalable optimisation techniques, all within a high-performance computing environment. You will gain expertise in computational fluid dynamics (CFD), optimisation algorithms, numerical methods, and high-performance simulation tools, and collaborate with researchers in fluid mechanics and thermal system design.

Entry requirements include a UK 2:1 honours degree or its international equivalent in mechanical or aerospace engineering, applied mathematics, or a related discipline. Experience with numerical methods, the CFD tool OpenFOAM, or optimisation techniques is desirable.

The University of Southampton offers a range of funding opportunities for both UK and international students. Competition-based studentships typically cover UK-level tuition fees and a stipend for living costs (minimum of £19,237 in 2024-25) for top-ranked applicants. Horizon Europe fee waivers and Presidential Bursaries may cover the difference between overseas and UK fees for qualifying students. Funding is awarded on a rolling basis, so early application is recommended.

To apply, select the PhD in Engineering programme (Research, 2025/26, Faculty of Engineering and Physical Sciences), choose full-time or part-time, and add the supervisor's name in section 2. Applications should include a personal statement, CV, two academic references, and degree transcripts. For general questions, contact [email protected], or reach out to Professor Ali Elham at [email protected] for an initial conversation.

For more details, visit the project page: Thermofluid topology optimisation at University of Southampton.