T. Geßner - B. HAASDONK - R. KENDE - M. LENZ - M. METSCHER - R. NEUBAUER - M. OHLBERGER - W. ROSENBAUM - M. RUMPF - R. SCHWöRER - M. SPIELBERG - U. WEIKARD
Together with a rapid development of computer hardware, sophisticated,
efficient numerical algorithms allow simulation computations of complex
physical phenomena. Methods, such as Finite Volume, Multigrid Finite Element
schemes, Sparse Grid, Wavelet approaches, and Particle Methods or Gridless
Discretizations all carry their own, tailored data structures, which reflect
the decomposition of the function spaces as well as the decomposition in
physical space.
Multiresolutional visualization on numerical data is described as an
indispensable ingredient of real time interactive post processing.
The typically enormous data bases are locally resolved on different levels
of detail to achieve a significant saving of CPU and rendering time.
For efficient data analysis and graphical post
processing the method of spatial, hierarchical subdivision combined with the
recovery of the local function spaces is presented.
To manage a variety of different numerical data
a general procedural interface to arbitrary large numerical data sets is presented.
This leads to a visualization beyond prescribed data formats.
Discrete numerical solution data is directly addressed in the user's data structures.
Furthermore the procedural interface supports a flexible method of local error
measurement, again encapsulated in certain user supplied functions.
The software conception, its data classes and methods are
described and the setup of the corresponding procedural user interfaces
is discussed in detail.
Examples from various numerical methods and different data bases underline the
applicability of the proposed concept.
Copyright © by the Sonderforschungsbereich 256 at the Institut für Angewandte Mathematik, Universität Bonn.