My research focuses upon the mathematical modelling of dispersed multiphase flows, with an emphasis on capturing the effects of unsteadiness or turbulence in the carrier flow upon droplets and particles.

Probability density function (PDF) models can be used to approach this, and construct a statistical description by treating the dispersed phase as a continuum. To produce closure relations that are able to account for the desired physical effects, a variety of stochastic modelling techniques are utilised. Kinematic simulation is a useful computational method which is ideal as a first test case for the developed closures.

Polydisperse droplet flows are very computationally demanding to simulate both directly and statistically, and recent work has focused upon using the Full Lagrangian Approach (FLA) to improve the efficiency of simulations. This has involved the development of novel numerical methods which use statistical learning to reconstruct a continuum representation of the dispersed phase at a reduced computational expense.

I am interested in supervising research projects within the broad domain of fluid dynamics modelling. This encompasses both mathematical modelling to extract physical relationships that exist within flows, and numerical modelling to enable and improve the simulation of flows. My main focus is the study of dispersed multiphase flows, where the use of statistical descriptions for the dispersed phase is an active area of research in the development of numerical and mathematical models which are both computationally efficient and accurate. Also of interest is the development of turbulence models that are able to account for the physical effects present in specialised flow configurations.