Wake vortex behind an airplane shows the disordered small scales characteristic of turbulent flows together with a large scale coherent structure, the vortex. Credit: NASA Langley
Professor Department of Engineering Physics
Faculty Director AMEP Program
Editorial Board Physical Review Fluids
I am an Applied Mathematician at the University of Wisconsin, Madison, with a joint appointment between the Department of Mathematics and the Department of Engineering Physics.
I have developed a Self-Sustaining Process theory for shear flows that has provided an ab initio method to discover families of 3D traveling wave solutions of the Navier-Stokes equations in all canonical shear flows (plane Couette, Poiseuille and pipe flows with velocity, stress or mixed boundary conditions). The traveling wave solutions appear to constitute the unstable `backbone' of turbulent shear flows. My other research activities focus on geophysical flows and computational methods for solving partial differential equations.
Here is a beautiful visualization of a geophysical turbulent flow: the Gulf Stream and eddies in the western North Atlantic Ocean:Credit: NASA Scientific Visualization Studio