Quantum Computing for Computational Fluid Dynamics and Applications

About the Project

Supervisors:

Prof Dimitrios Angelakis d.angelakis@southampton.ac.uk

This project, within the EPSRC Centre for Doctoral Training in Quantum Technology Engineering at the University of Southampton (https://qte.ac.uk), carries a UKRI TechExpert enhanced annual stipend around £31k for UK students. While researching the project outlined below you will also receive substantial training in scientific, technical, and commercial skills.

Project Description:

This project explores the emerging field of Quantum Computational Fluid Dynamics (QCFD), combining quantum computing and CFD to simulate nonlinear systems such as turbulence and shockwaves. You will be working and implementing quantum variational algorithms in quantum computers that bridge fundamental physics with quantum algorithmic innovation for next-generation fluid simulation.

The coming decade promises a transformative intersection between quantum computing and computational fluid dynamics (CFD). CFD allows the understanding of phenomena like turbulence and pattern formation with numerous applications in aerodynamics, climate modelling, battery design and many other areas. Quantum computational fluid dynamics (QCFD) is a novel area that leverages quantum superposition, entanglement, and variational optimization to establish a quantum-native framework for simulating fluid dynamics, rethinking how nonlinear evolution can be expressed, approximated, and stabilized within quantum architectures. This project will investigate how quantum variational methods can be used to simulate classical and quantum nonlinear systems, bridging fundamental physics with quantum algorithmic innovation in the field of CFD. The research will involve both analytical ‘pen and paper’ studies as well as numerical simulations; it is also expected that prototype cloud quantum computers will be used for testing of the algorithms. Strong candidates from physics, applied mathematics, engineering, or computer science are encouraged to apply. Prior experience in CFD, quantum computing, and/or PDE simulations will be a plus. A background in quantum mechanics, CFD or numerical modelling will be valuable. The project will include funded visits to collaborating groups in Greece, Germany, Austria and Singapore, as well as leading theoretical and experimental teams in the US and Asia • Efficient estimation and sequential optimization of cost functions in variational quantum algorithms. Research summary https://www.cqt.sg/highlight/2025-07-quantum-simulation-fluid-dynamics/ • QCFD in Ion Quantum Computers https://www.aqt.eu/solution/simulating-turbulent-flow-aerospace-prepares-for-quantum-computing/

For more information, please contact the supervisor: Prof Dimitrios Angelakis d.angelakis@southampton.ac.uk

Entry Requirements:

Undergraduate degree (at least UK 2:1 honours degree, or international equivalent).

Closing Date:

31 July 2026. International applicants must apply before 31 March 2026.

Funding:

See funding notes below.

How to Apply:

Please apply via the online portal and select:

• Programme type: Research
• Academic year: 2026/27
• Full time or part time
• Faculty: Engineering and Physical Sciences

Search for programme PhD Quantum Tech Eng

Please add the name of the supervisor in section 2 of the application.

Applications should include:

• your CV (resumé)
• 2 academic references
• degree transcripts/ certificates to date
• English language qualification (if applicable)

We are committed to promoting equality, diversity, and inclusivity and give full consideration to applicants seeking part-time study. The University of Southampton takes personal circumstances into account, has onsite childcare facilities, is committed to sustainability and has been awarded the Platinum EcoAward.