Numerics

We now turn to the development and use of numerical algorithms and software for industrial problems, once again, guided by the philosophy and experience of the ITWM. After we recapitulate a few basic ideas, we elaborate on the specifics of Fraunhofer research in the field of computational mathematics and formulate some of the essential requirements and criteria of such research. We begin with grid generation and discretization. Because of its important role in the Institute, the so-called Lattice-Boltzmann Method, LBM, will be treated separately. Several departments work on multi-scale problems, and so we address this topic next. Efficient methods for problems in image processing will be briefly mentioned. Here as well, we will continue to point out the differences between research at the Fraunhofer ITWM and academic research. Finally, we reflect a bit upon the topic validation of models and algorithms.