PhD project: Transitions in fluid, viscoelastic and MHD turbulence
Project description
Turbulence is one of the great unsolved problems of classical physics. The problem is made difficult by the need to model nonlinear interactions on a wide range of spatial and temporal scales – making a purely computational approach problematic. It is therefore necessary to think before, during and after computation and to develop an understanding of the nature of transitions in turbulent flows, either on a statistical or dynamical basis. A range of tools are available to the theoretician, including machine learning via echo-state networks, rare event algorithms and unfolding transitions by including extra effects in the turbulence.
This project will examine transitions in wall-bounded turbulent flows using the above tools and reduced order modelling. We aim to consider a range of turbulent models in fluids, viscoelastic flows and magnetohydrodynamics and to examine the development and interaction of turbulent structures in the flows.
This project is ideally suited to a candidate with a degree in Theoretical or Mathematical Physics or Applied Mathematics.
The project will combine a range of theoretical and computational aspects from analytical methods to high performance computing.
Project supervisors
- Prof Steve Tobias (School of Physics & Astronomy, University of Edinburgh)
- Professor Alexander Morozov (School of Physics & Astronomy, University of Edinburgh)
The project supervisors welcome informal enquiries about this project.
Find out more about this research area
The links below summarise our research in the area(s) relevant to this project:
- Find out more about Statistical Physics and Complexity.
- Find out more about the Institute for Condensed Matter and Complex Systems.
What next?
- Find out how to apply for our PhD degrees.
- Find out about fees and funding and studentship opportunities.
- View and complete the application form (on the main University website).
- Find out how to contact us for more information.