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PhD in Optimal Perturbations in Turbulent Flows University of Southampton in United Kingdom
Degree Level
PhD
Field of study
Computer Science
Funding
Competition funded PhD project. Funding opportunities are available for UK and international students. Horizon Europe fee waivers may cover the difference between overseas and UK fees for qualifying students. Competition-based Presidential Bursaries may cover the difference between overseas and UK fees for top-ranked applicants. Competition-based studentships typically cover UK-level tuition fees plus a stipend for living costs for top-ranked applicants. Funding is awarded on a rolling basis.
Deadline
Jun 30, 2027
Country
United Kingdom
University
University of Southampton

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About this position
PhD opportunity in Optimal Perturbations in Turbulent Flows at the University of Southampton, Faculty of Engineering and Physical Sciences.
This project sits at the intersection of fluid mechanics, applied mathematics, dynamical systems, chaos theory, and computational physics. The research asks which disturbances produce the largest response in a turbulent flow, and aims to develop mathematical and computational methods to study amplification along evolving turbulent trajectories rather than only mean-flow states. You will work on a chaotic resolvent framework, compute optimal forcing and response structures, and test their interpretation using turbulent flow simulations.
The project is designed for students interested in turbulence, Navier–Stokes equations, wall-bounded flows, numerical linear algebra, scientific computing, and algorithm development. It offers the chance to tackle an open problem in flow physics while building strong computational and mathematical skills.
Funding: competition-funded PhD project. Funding opportunities are available for UK and international students. The advert mentions Horizon Europe fee waivers, Presidential Bursaries, and school studentships that may cover tuition and provide a stipend for living costs for top-ranked applicants.
Eligibility: UK 2:1 honours degree or international equivalent in aerospace engineering, mechanical engineering, physics, mathematics, or a closely related discipline. Essential skills include linear algebra, differential equations, calculus, basic fluid mechanics, and programming for numerical algorithms and simulation data analysis. Desirable experience includes numerical methods, dynamical systems, CFD, or scientific software development.
How to apply: Apply through the University of Southampton portal for the 2027/28 Research programme in the Faculty of Engineering and Physical Sciences. Select full time or part time, search for programme PhD Engineering & the Environment (7175), and add the supervisor name in section 2. Prepare a research proposal, CV, two academic references, transcripts/certificates, and English language qualification if needed.
Deadline: 2027-06-30. Funding is awarded on a rolling basis, so early applications are encouraged.
Funding details
Competition funded PhD project. Funding opportunities are available for UK and international students. Horizon Europe fee waivers may cover the difference between overseas and UK fees for qualifying students. Competition-based Presidential Bursaries may cover the difference between overseas and UK fees for top-ranked applicants. Competition-based studentships typically cover UK-level tuition fees plus a stipend for living costs for top-ranked applicants. Funding is awarded on a rolling basis.
What's required
Applicants must have a UK 2:1 honours degree or international equivalent in aerospace engineering, mechanical engineering, physics, mathematics, or a closely related discipline. Essential skills include strong mathematical ability in linear algebra, differential equations and calculus, experience analysing mathematical models, a basic understanding of fluid mechanics, and programming experience sufficient to implement numerical algorithms and analyse simulation data. Desirable experience includes numerical methods, dynamical systems, computational fluid dynamics, or scientific software development. English language qualification is required if applicable.
How to apply
Apply online for the 2027/28 Research programme in the Faculty of Engineering and Physical Sciences. Select full time or part time, search for PhD Engineering & the Environment (7175), and add the supervisor name in section 2. Include a research proposal, CV, two academic references, degree transcripts/certificates, and English language qualification if applicable.
More information can be found here
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