J. Ford Postdoctoral Fellow
I am interested in turbulence and dynamical systems theory. The hope that dynamical systems theory could shed light on turbulence goes back some forty years, to Lorenz's discovery of chaos in a low-dimensional model of Rayleigh-Benard convection. But it has proven difficult to translate this vision into concrete results, due to the very high (in principle infinite) dimensionality of the Navier-Stokes equations.
However, there have been some very exciting developments in recent years, triggered by advances in numerical methods and computer power, and by insightful research in the physics of wall-bounded flows. It is now possible to treat direct numerical simulations of Navier-Stokes directly as high-dimensional dynamical systems, for example, to find their equilibria and compute their linear stability.
My own research is an effort to analyze turbulent dynamics in terms of numerically exact solutions of the Navier-Stokes equations: equilibria, traveling waves, and periodic orbits. My current work focuses on plane Couette flow above the onset of turbulence, in preparation for applying the same ideas to dynamics of the turbulence boundary layer.
I am also interested in numerical analysis, computational fluid dynamics, and
practical matters of scientific computing, such as developing flexible research
software, and getting the most out of Linux boxes. I have focused these interests
on the development of Channelflow,
a set of high-level software tools and libraries for research in turbulence
in channel geometries. Channelflow opens new ground in flexibility and ease-of-use
in computational fluid dynamics.
Give it a try!
A few photos