My work is focussed on multiscale nonlinear dynamics. I combine computational methods for the numerical solution of partial differential equations, numerical stability analysis and principles of Machine Learning with analytical approaches such as asymptotic analysis, functional analysis and dynamical systems theory to solve problems in fluid dynamics.
Recent Work
turbulence theory
- applications of functional analysis
- statistical hierarchies for LES models
- Betchov relation for the helicity flux
magnetoconvection
- unifying heat transport model for the transition between buoyancy-dominated and Lorentz-force-dominated regimes
- wall mode dynamics and transition to chaos
viscoelastic fluids
- purely elastic turbulence
- linear stability of purely elastic travelling waves
magnetohydrodynamics
- turbulence
- large-scale structure formation
- dynamo action
invariant solutions
- flow control
- instabilities and transition
- free-stream coherent structures
two-dimensional turbulence
machine learning
- assessing the importance of turbulent coherent structures through XAI
- explaining relaminarisation predictions and the self-sustaining process
- prediction of extreme events in the Hénon map