Videos

Computational fluid dynamics

Details of all of these simulations can be found in the paper “A posteriori analysis for dynamic model adaptation in convection dominated problems” with J. Giesselmann.

A simulation of a supersonic flow at just over Mach 1 around a NACA aerofoil.
A simulation of the forward facing step problem at almost Mach 4. 
A simulation where Karman vortices are produced by a flow around a cylinder. 

Calculus of Variations

Details of these simulations can be found in the paper “On the numerical approximation of p-Biharmonic and ∞-Biharmonic functions” with N. Katzourakis.

A simulation of a 1d p-biharmonic function. The video shows the 2nd derivative and as time goes on p is increased.
A simulation of a 2d p-biharmonic function. The video shows the Laplacian and as time goes on p is increased.

Mathematical Modelling

Details of this simulation can be found in the paper “An energy consistent numerical approximation of liquid curtains” with A. Lukyanov.

A simulation of a stable water curtain.