Numerical Simulation of Supersonic Combustion Waves

numerical simulations using dynamic mesh adaption of flow problems basing on the reactive Euler equations of gasdynamics

© Thomas Geßner

Here you can see some filmlets (.mpg.gz, 384 x 288 pixel) of numerical simulations I performed for reactive flows modelled with the reactive Euler Equations of gas dynamics (with detailled reaction mechanisms).
The visualization is done by means of the GRAphics Programming Environment GRAPE ([1], [2]).

If you are interested in related web pages see my collection of links.

Click on the small pictures to see the corresponding latent movie.

A combination of some of the succeeding simulations with explanatory commentary ( .mpg.gz 56.7 MB).

This movie is also part of the video "Video and Multimedia at 3ecm" (VHS-PAL, VHS-NTSC, and DVD) by Xambo--Descamps and Zarzuela. They produced a DVD containing original contributions from all areas of mathematics in multimedia format. This DVD is distributed by Springer-Verlag as an issue of their recently created VideoMath series.
Furthermore the DVD contains a a brief description of the movie's tenor as PDF file (.pdf.gz, 1.0 MB).

Unstable detonations modeled with a simple reaction mechanism, in detail a single irreversible reaction reactant -> product:

Comparison of the simulations performed on a uniformly refined mesh and on an adaptive mesh in shock frame (with stationary shock) ( .mpg.gz 7.9 MB).

A blow-up inside the reaction zone. Four clippings show the adaptive mesh, the density, the pressure, and the reactant respectively product ( .mpg.gz 9.7 MB).

In laboratory frame at first the adaptive mesh, the pressure and the reactant/product are displayed. Afterwards a Schlieren like sequence visualizes the reaction zone ( .mpg.gz 4.2 MB).

Comparison of simulations in a single and a double wide channel. At each case the pressure and the released chemical energy density (the detonation cell pattern) are visualized ( .mpg.gz 5.3 MB).

Detonation in a channel with a cascade of barriers:
At first the development of the adaptive mesh, the density, and the reactant respectively product in the whole channel is displayed. Afterwards a blow-up inside the cascade of barriers is shown ( .mpg.gz 15.1 MB).

The velocity field is displayed by means of the GRAPE visualization method ``Texture Transport''. The flow in the whole channel as well as a blow-up inside the cascade of barriers are shown ( .mpg.gz 11.0 MB).

A blow-up of the density, the pressure, and reactant/product shows the transition from a detonation to a deflagration behind the first barrier. ( .mpg.gz 8.3 MB).

Simulation of an unstable hydrogen-oxygen detonation with high diluent argon.
At first the adaptive mesh, the pressure, and the concentrations of hydrogen, water, and hydrogen radical are shown. There the released chemical energy density showing the detonation cells is updated step by step. Subsequently, the resulting released chemical energy density is qualitatively compared with a smoke foil of Strehlow ( .mpg.gz 18.9 MB).


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