The project's subjects were the theoretical analysis and the development
of numerical methods for the simulation of unviscous flows of gas-mixtures.
The reliable calculation of pure flow phenomena and coupling to chemical
reaction mechanism were it's goals.
An example of the complex behaviour of gas-mixtures is the instability
of contact-discontinuities between different gases, which can be seen
in modell-problems like Richtmyer-Meshkov and Rayleigh-Taylor instability
very clearly.Their accurate simulation requires numerical methods with
a strong theoretical background, because conventional approximate Riemann-Solver
tend to create unphysical pressure oscillations near contact-discontinuities.
The correct approximation of propagation velocities in combustion processes
still poses fundamental difficulties.
Using simple modell-problems, known numerical methods were analysed
and modified to master the mentioned difficulties. To verify these discretisations,
they were applied to practical relevant multicomponent gas flows.
This Work was supported by the DFG-Priority Research Program 'Analysis and Numerics of Conservation Laws'
and ended 2003.
Ralf Deiterding and Georg Bader
High-resolution simulation of detonations with detailed chemistry
In G. Warnecke, editor, Analysis and Numerics for Conservation Laws,
pages 69-91, Springer, Berlin, 2005.