Numerical simulations of 2D vortex evolution with a Finite Difference Method -- Link index of Web pages and MPEGs

Much to my regret the profider that hosted my webpages
for more than 25 years has announced that after 1 July
2026 they end the hosting service.
Therefore all my web pages have been moved to another
provider, which means the base URL changes from
https://josvg.home.xs4all.nl/ to http://www.josvg.dds.nl/.
The current page can now be found here.

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

Index of Web pages and MPEGs

The main (index) page on "Numerical simulations of 2D vortex evolution with a Finite Difference Method" lists the examples available on these pages in text form. On this page that list is repeated in table form, with pictures of the initial situations and links to the respective Web pages and MPEG movies.

Contents of this page:
(with [M] = main run for this set of examples)

Some general information on the Finite Difference Method used in the program 'nsevol' --> Web page
Computation with a Bessel monopole
Computation with a Lamb dipole
Computation with a uniform monopole
Study of the effect of a bottom topography

Computation with a Bessel monopole

Initial situation Description and links
Interaction of 16 monopoles
- symmetrical

with stress-free walls
Web page
MPEG movie (2.0 Mb)

Interaction of 16 monopoles
- not symmetrical

1) with stress-free walls
Web page
MPEG movie (1.9 Mb)
2) with no-slip walls
Web page
MPEG movie (2.1 Mb)

Bessel monopole on a beta-plane

Web page
MPEG movie (580 kb)

Bessel monopole encounters
a north-south ridge

1) at the equator [M]
Web page
MPEG movie (580 kb)
colour version of the MPEG (580kb)
2) on the southern hemisphere
Web page
MPEG movie (580 kb)
3) on the northern hemisphere
Web page
MPEG movie (580 kb)

Bessel monopole encounters
a circular mountain

1) at the equator [M]
Web page
MPEG movie (580 kb)
2) on the southern hemisphere
Web page
MPEG movie (580 kb)
3) on the northern hemisphere
Web page
MPEG movie (580 kb)
longer MPEG movie (1.1 Mb)

Lamb dipole encounters Bessel monopole
--> see at "Lamb dipole" below

Computation with a Lamb dipole

Initial situation Description and links
Collision of two Lamb dipoles:
head-on

Web page
MPEG movie (786 kb)

Collision of two Lamb dipoles:
under 90 degrees

Web page
MPEG movie (786 kb)

Lamb dipole in a domain
with stress-free walls

Web page
MPEG movie (3.3 Mb)
reduced MPEG movie (2.1 Mb)

Lamb dipole in a domain
with no-slip walls

Web page
MPEG movie (2.3 Mb)

Lamb dipole crossing a ridge

1) without background rotation [M]
Web page
MPEG movie (700 kb)
2) with background rotation
Web page
(no MPEG movie)

Lamb dipole encounters Bessel monopole
head-on

1) monopole weaker than dipole [M]
Web page
MPEG movie of tracers (456 kb)
MPEG movie of vorticity (456 kb)
2) monopole nearly as strong as dipole
Web page
MPEG movie of tracers (456 kb)
MPEG movie of vorticity (456 kb)

Lamb dipole encounters Bessel monopole
with offset

1) monopole weaker than dipole
Web page
MPEG movie of tracers (568 kb)
MPEG movie of vorticity (568 kb)
2) monopole nearly as strong as dipole
Web page
MPEG movie of tracers (456 kb)
MPEG movie of vorticity (456 kb)

Computation with a uniform monopole

Initial situation Description and links
Formation of a tripolar vortex

Web page
MPEG movie (568 kb)

Study of the effect of a bottom topography

Initial situation Description and links
Uniform flow across a mountain

Web page
MPEG movie (288 kb)

Lamb dipole crossing a ridge
--> see at "Lamb dipole" above
Bessel monopole encounters
--> see at "Bessel monopole" above
Bessel monopole encounters
--> see at "Bessel monopole" above