|I've recently completed a PhD in applied mathematics through the School of Mathematics and Statistics at the University of Sydney. My supervisor was Associate Professor Charlie Macaskill.
During semester 2, 2008, I am lecturing MATH3078 and MATH3978 - Partial Differential Equations and Waves.
My main research interest lies in fluid dynamics, particularly geophysical fluid dynamics and the study of large scale vortical motions. One of my favourite examples of a large scale vortex is Jupiter's Great Red Spot, an immense eye shaped structure that is located in Jupiter's southern hemisphere. Click here to see an animated gif of Voyager 1's approach of Jupiter in 1979 (images courtesy NASA/JPL-Caltech, file size 6.55 MB). To gain same perspective on the size of the structure it could be noted that the horizontal extent of the Great Red Spot is greater than the diameter of the Earth.
In addition to fluid dynamics I have a background in numerical methods and a variety of other areas in applied mathematics.
My PhD research was devoted to studying contour crossings, a form of numerical error that occurs in contour-advective simulations of inviscid fluid motions. Contour-advective methods include Contour Dynamics (CD), Contour Advection with Surgery (CAS) and the Contour-Advective Semi-Lagrangian (CASL) algorithm. Click here (pdf 24KB) to view the abstract from my thesis.
Follow this link to see some simple simulations of vortex motion produced by the Contour-Advective Semi-Lagrangian (CASL) algorithm.