Numerical simulations of 2D vortex evolution with a Finite Difference Method

During two post-doc. positions in Fluid Dynamics, I studied numerically the evolution of two-dimensional (2D) vortices.
This evolution is described by the 2D Navier-Stokes equation, also known as the vorticity equation. The method I use is a Finite Difference Method and it includes the effect of viscosity and has many other nice features. On these pages I present a few results of the simulation and some background information, with pretty pictures and MPEG movies.
You can find more about the research on vortices on the Home Page of the Vortex Dynamic Group in Eindhoven where I have been working.
The program used for the numerical simulations is named nsevol; you see its logo at the top of this page. Since it uses the Navier-Stokes equation to compute the evolution of a certain vorticity distribution, the program's name is to be pronounced as 'en-es-evol'.

The following subjects and examples are currently available
(with [M] = main run for this set of examples)
===> Index of Web pages and MPEG movies in table form
In text form:

What's new on these pages? -- last change: 21 September 1999.

The research described on these pages falls in the category 'Fluid Dynamics' and its subcategories 'Vortex Dynamics' and 'Computational Fluid Dynamics'.

===> list of my publications about my Post-doc. research in Fluid Dynamics.

Places of work

I started with the studies metioned above when I was from Sept. 1993 to March 1996 working as a post-doc. in Eindhoven at the Vortex Dynamics Group.

Starting 1 June 1996, I had a two-year post-doc. position in Dundee where I used the same numerical method for a research on the interaction between meddies and topography; see that page for some info on the background of that research.

Since June 1998 I am no longer working on this field of research; see my home page for details on what I am doing now.

By the way: A very nice example of a natural (monopolar) vortex that is of great importance is the Polar Vortex which forms over Antarctica in the Southern winter: the well-known "ozone hole" is closely linked to the existance of this Polar Vortex. See for some info my page on about ozone and the formation of the ozone hole and for pictures the page about the 1999 ozone hole as seen by GOME.