Available PhD projects
If you are interested in one of these topics, the application procedure can be found here.
If you are interested in one of these topics, the application procedure can be found here.
This project will combine tools from theoretical and computational applied mathematics and numerical analysis to address fundamental issues in the development of filtering techniques critical for Large Eddy Simulation (LES) for turbulence modelling of compressible flow. The aim of this project is to create a mathematically rigorous and computationally efficient filter for LES by exploiting underlying properties in the discontinuous Galerkin (DG) scheme through Smoothness-Increasing Accuracy-Conserving (SIAC) filtering.
SIAC filtering allows for the full resolution of the approximation and its derivatives and has proven successful in areas such as error reduction for linear acoustics and streamline visualization. SIAC filtering will be further developed, modified and adapted to resolve the under-resolved small scale numerical solutions needed for LES. These approaches will translate to such areas as wind and tidal energy, a critical subject in exploration of Energy Engineering and has the potential to affect areas such as ocean modelling, acoustics, combustion, etc.