Detailed mathematical modelling of transient combustion processes

In many cases ignition has a pivotal influence on the flame front development. The multitude of participating hydrodynamical and thermo-chemical processes cover a very large range of time and space scales. These range from several micrometers to the integral scales of several meters. Thus, it makes the accurate modelling of these parameters particularly important. The proposed numerical Adaptive Pseudo Spectral Method can accurately describe the whole range of time and space scales with only limited discretisation parameters.
The main application is focused on ignition and on flame propagation in narrow channels, which is accompanied by versatile effects, which are very sensible to system parameters. Additionally, the method is applied to ignition and flame acceleration in unconfined settings. This example proved an extreme scale difference of underlying process, with strong coupling be- tween underlying processes.