Forschungszentrum Jülich (FzJ) - Technical University Dortmund (TUDo) - Friedrich-Alexander-University (FAU)
Parallel Time Integration
A special example of hardware-driven research in the
field of numerical methods is the emergence of modern time-simultaneous or time-parallel
integrators. While the fundamental ideas date back more than 50 years [22], the benefits of such
approaches have only become apparent with the advent of massively parallel HPC systems. To increase
the scalability for a given fluid problem beyond spatial parallelization, we will expand FEATFLOW
and thus the StrömungsRaum® platform with various approaches to parallelization regarding the
time direction. In particular, we will consider new methods that can handle hyperbolic problems,
such as fluid simulations with industrially relevant parameters, much better than current
approaches in this field. These methods will be used both on a small and large scale. Thus, on the
one hand, by choosing suitable time integrators, the methods within a time step can already be
parallelized, on the other hand, many time steps can be calculated simultaneously [15]. The optimal
linkage of this multi-layered parallelization, particularly with the addition of heterogeneous
parallelization in space, will be examined more closely within the framework of performance
engineering.