Section Days abstract book 2010.indd - RUB Research School ...

NSE_16
EFFICIENT IMPLEMENTATION OF
HARDWARE ORIENTED NUMERICS
Dirk Ribbrock
Faculty of Mathematics, LSIII Applied Mathematics
TU Dortmund, Vogelpothsweg 87, 44227 Dortmund
email: dirk.ribbrock@math.tu-dortmund.de
Various techniques offering hardware oriented approaches to numerical calculations are
presented. A hardware abstraction layer (HAL) on the lowest level is used, which grants full
exploitation of the underlying hardware capabilities. This HAL leads to the portable support
of X86-SSE MultiCore CPUs, Cuda & OpenCL enabled GPUs, the Cell BE and any
combination of these architectures in an MPI capable cluster and therefore makes all levels of
parallelism accessible to the application programmer.
On top of this, multiple reliable and efficient applications are implemented, ranging from well
know linear algebra (BLAS) operations and linear solvers to full fluid dynamics (CFD)
applications based on finite element (FE) or Lattice-Boltzmann (LB) methods.
These applications exploit all three dimensions of possible optimisation: efficient numerics,
specialised hardware architectures and hardware oriented data structures.
The implementation of this library features many modern software technology concepts like
re-usability, portability, modularity and maintainability via massive usage of template meta
programming.