Further developments of numerical tools for the analysis of global fluid flow instability at all speeds at University of Liverpool on FindAPhD.com

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Prof V Theofilis No more applications being accepted Funded PhD Project (Students Worldwide)

About the Project

The project is expected to advance the current state-of-the-art numerical tools for linear instability analysis of fluid flow over or through complex geometries. Modal and non-modal frameworks will be considered, requiring the numerical solution of large-scale eigenvalue and singular value problems.

Spatial discretization of the linearized Navier-Stokes equations will employ a variety of high-order schemes, paying particular attention to the accurate and robust description of both inviscid flow regions containing shock-and expansion waves, as well viscous flow regions in boundary layers and wakes.

The successful candidate is expected to have a earned both undergraduate and MSc/MEng degrees which will have provided them with a deep understanding of fluid flow motion, and is also expected to have a solid mathematical background. Programming skills in a high-level language are essential, while experience with software parallelization is desirable.

Funding Notes

The studentship will be funded by EPSRC DTA covering tuition fees at the UK/EU rate for 3 years of your PhD and an annual stipend for 3 years of £14,296 (2016/17). To be eligible for this funding the candidate should be a UK citizen or an EU citizen that meets the EPSRC’s eligibility criteria (https://www.epsrc.ac.uk/skills/students/help/eligibility/). Non-EU students may apply for this project if they have funding to support their studies.

References

Bertin JJ, Cummings RM (2006) Critical hypersonic aerothermodynamic phenomena. Annu Rev Fluid Mech 38:129-157

Kim J, Bewley T (2007) A linear systems approach to flow control Annu Rev Fluid Mech 39:383-417

Luchini P, Bottaro A (2014) Adjoint equations in stability analysis. Annu Rev Fluid Mech 46:493-517

Schmid PJ (2007) Nonmodal stability theory. Annu Rev Fluid Mech 39:129-162

Theofilis V (2011) Global linear instability. Annu Rev Fluid Mech 43:319-352

Where will I study?

University of Liverpool

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Further developments of numerical tools for the analysis of global fluid flow instability at all speeds

University of Liverpool School of Engineering