Hello, I'm working on numerical simulations of reacting and non-reacting gas flow. In that context my special interests are

dynamic mesh adaption for timedependent problems

Additionally I'm involved in the development of the GRAphics Programming Environment GRAPE. Graphical support is very important for CFD. Especially the adaptive numerical methods we use require an advanced visualization. If you're interested, here you can find some examples connected with my numerical work and the work of other members of our institute.

projects

DFG (Deutsche Forschungsgemeinschaft) project:
"Selbstadaptivität und Visualisierung in 3D"

GRS (Gesellschaft für Anlagen- und Reaktorsicherheit mbH) project:
"Entwicklung eines Programmes zur dreidimensionalen Modellierung des Schadstofftransportes"

numerical simulations etc.

simulations of flow problems basing on the Euler equations of gasdynamics using dynamic mesh adaption
(including several figures and filmlets)

simulations of reactive flow problems modelled with the reactive Euler equations (with detailled reaction mechanisms) using dynamic mesh adaption
(several filmlets of numerical simulations)

a general introduction (in German) in reacting gas flow

a collection of my favourite links concerning conservation laws, CFD, combustion etc.

numerical papers

Zeitabhängige Adaption für Finite Volumen Strömungsmechanik Verfahren höherer Ordnung am Beispiel der Euler-Gleichungen der Gasdynamik.
Diplomarbeit. Institut für Angewandte Mathematik, Universität Bonn, 1994.

Numerical methods, simulations and visualization for compressible flow problems.
Proceedings Visualization and Mathematics (Eds.: H.-Ch. Hege, K. Polthier) Springer, 1996, Heidelberg.
Wierse, M.; Geßner, T.; Kröner, D.

Finite volume methods for conservation laws and convection dominated diffusion equations.
Proceedings Finite Volume Schemes, Rouen, 1996.
Geßner, T.; Schupp, B.; Kröner, D.; Wierse, M.

Godunov Type Methods on Unstructured Grids and Local Mesh Refinement.
To appear in: Godunov Methods: Theory and Applications, (Ed.: E.~F. Toro) Kluwer Academic/Plenum Publishers.
Kröner, D.; Geßner, T.

Dynamic Mesh Adaption for Supersonic Reactive Flow.
Submitted to: Proceedings of the Eight International Conference on Hyperbolic Problems, Magdeburg.
Geßner, T.; Kröner, D.

visualization papers

Moving and Tracing in Timedependent Vector Fields on Adaptive Meshes.
Report 12, SFB 256, 1993.
Rumpf, M.; Geiben, M.; Geßner, T. / Report 12, SFB 256, 1993.

A 2-D Grid Editing Package.
Report 15, SFB 256, 1995.
Geßner, T.; Schneider, A. / Report 15, SFB 256, 1995.

A Procedural Interface for Multiresolutional Visualization of General Numerical Data.
Report 28, SFB 256, 1999.
Geßner, T.; Haasdonk, B.; Kende, R.; Lenz, M.; Neubauer, R.; Rosenbaum, W.; Rumpf, M.; Schwörer, R.; Spielberg, M.; Weikard U.

multimedia

Numerical Simulation of Unstable Detonations.
Video and Multimedia at 3ecm, (Eds.: S. Xambo--Descamps, S. Zarzuela) Springer, 2000.

teaching

Praktikum "Numerische Strömungsmechanik und Visualisierung"
WS 1999/2000 (in German)

Praktikum "Numerische Strömungsmechanik und Visualisierung"
SS 2000 (in German)

Praktikum "Numerische Strömungsmechanik und Visualisierung"
WS 2000 (in German)

leisure activities

Bike alpine tour Freiburg - Lago Maggiore (Aug. 18 - Aug. 24 2001)

... and some fun

A very nice article about technical problems during a lecture
(28009 bytes picture file in German)

The Annals of Improbable Research. (A Journal at the MIT)

last updated: 22.02.2001 by Thomas Geßner ( gessner@mathematik.uni-freiburg.de).