This PhD project at the University of Southampton, within the EPSRC Centre for Doctoral Training in Quantum Technology Engineering, focuses on the rapidly emerging field of Quantum Computational Fluid Dynamics (QCFD). The research aims to combine quantum computing and computational fluid dynamics (CFD) to simulate complex nonlinear systems, such as turbulence and shockwaves, which are critical in fields like aerodynamics, climate modelling, and battery design. The project will involve developing and implementing quantum variational algorithms on quantum computers, bridging fundamental physics with quantum algorithmic innovation to enable next-generation fluid simulation. Candidates will engage in both analytical studies and numerical simulations, with opportunities to test algorithms on prototype cloud quantum computers. The research will also include funded visits to collaborating groups in Greece, Germany, Austria, Singapore, and leading teams in the US and Asia. Applicants should have a strong background in physics, applied mathematics, engineering, or computer science, with prior experience in CFD, quantum computing, or PDE simulations considered advantageous. The position offers a competitive UKRI TechExpert stipend of approximately £31,000 per year for UK students, with studentships at the UKRI base rate available for EU, Horizon Europe, and international students. Overseas students with external funding are also encouraged to apply. The University of Southampton is committed to equality, diversity, and inclusivity, and supports applicants seeking part-time study. The application deadline is July 31, 2026, with an earlier deadline of March 31, 2026 for international applicants. To apply, candidates should use the university's online portal, select the appropriate programme, and include all required documents. For further information, contact Prof Dimitrios Angelakis at d.angelakis@southampton.ac.uk.