Near-wall Domain Decomposition for Turbulence Modelling Based on RANS-LES The University of Manchester in United Kingdom

This PhD project at The University of Manchester focuses on advancing turbulence modelling through near-wall domain decomposition based on RANS-LES hybrid approaches. The resolution of near-wall turbulent layers remains a major computational challenge in fluid dynamics, often consuming up to 90% of computational resources due to the need to resolve thin laminar sublayers adjacent to walls. Traditional Reynolds-averaged Navier-Stokes (RANS) models, while widely used, have limited accuracy for state-of-the-art applications. Direct numerical simulation (DNS) offers high-fidelity results but is impractical for most real-world problems due to its immense computational cost. Large eddy simulation (LES) is more feasible but faces difficulties in resolving small vortices near walls.

Modern research increasingly relies on hybrid RANS-LES models, leveraging the strengths of RANS near walls and LES away from them. However, coupling these models is challenging, especially in the buffer transition zone where neither model is fully applicable. This project proposes a novel non-overlapping domain decomposition (NDD) method, which efficiently transfers boundary conditions from the wall to an interface boundary. The resulting interface boundary conditions for LES are mesh-independent and nonlocal, incorporating memory terms that account for the influence of modelled vortices on those resolved by LES.

The aim is to develop a robust RANS-LES heterogeneous decomposition method without subdomain intersection, enabling efficient and universal LES application for turbulent flows around complex geometries. Success in this project could lead to significant industrial impact, making advanced turbulence modelling more accessible for engineering applications.

Applicants should hold or expect to achieve at least a 2.1 honours degree or a master’s (or international equivalent) in a relevant science or engineering discipline. The project is based in the Department of Mechanical and Aerospace Engineering and welcomes candidates with backgrounds in fluid mechanics, mechanical engineering, applied mathematics, or related fields. The university values diversity and encourages applications from all backgrounds, including those returning from career breaks or seeking flexible study arrangements.

This is a 3.5-year PhD opportunity for self-funded students. Exceptional candidates may be considered for Faculty funding, which includes a competitive annual tax-free stipend (£20,780) and paid tuition fees, with the stipend expected to increase annually. Additional scholarships and awards are available at university, faculty, and department levels for both UK and international students. For more details, applicants are encouraged to explore the university’s funding resources.

Prospective students are strongly advised to contact the supervisor, Dr S Utyuzhnikov, before applying to discuss their academic background, relevant experience, and motivation for pursuing this research. Applications are accepted year-round and must be submitted online, specifying the project title, supervisor, funding status, previous study details, and contact information for two referees. Required supporting documents include transcripts, CV, a supporting statement, and an English language certificate if applicable. Incomplete applications will not be considered.

For further information or questions about the application process, contact the admissions team at [email protected]. The university is committed to equality, diversity, and inclusion, recognizing that a diverse research community enhances creativity, productivity, and impact.