Numerical simulations of 2D vortex evolution
During two post-doc. positions in Fluid Dynamics,
I studied numerically the evolution of two-dimensional (2D) vortices.
with a Finite Difference Method
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
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
- with pictures of initial situations
(loads about 60 kb in total)
- 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
Starting 1 June 1996, I had a two-year
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
and the formation of the ozone hole and for pictures the page about
ozone hole as seen by GOME.
Jos van Geffen --
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created: 25 September 1995
last modified: 26 May 2001