Covers the software system Channelflow for numerical analysis of incompressible fluid flow in channel geometries, including spectral methods and invariant solutions.
Explores the dynamics of steady Euler flows on Riemannian manifolds, covering ideal fluids, Euler equations, Eulerisable flows, and obstructions to exhibiting plugs.
Explores the application of the SIMPLE algorithm in solving Navier-Stokes equations and compares staggered grid vs. collocated grid approaches in numerical flow simulations.