Project Details
Projekt
Analysis and postprocessing of space-time compressed flow computations
Applicant
Professor Dr. Martin Rumpf
Subject Area
Mathematics
Term
from 2001 to 2007
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 5330316
Postprocessing of nonstationary flow data requires significant effort concerning the involved mathematical methods and the algorithmical tools. Especially in case of multi-scale, complex phenomena in 3D fluid dynamics one faces various difficulties. The typically enormous amount of considered data prevents a simultaneously handling of a sufficiently large part of the data in space and time. Standard tools for visualization are unable to support an intuitive understanding of the underlying phenomena. In fact they often lead to visual clutter. Instead of a time consuming manual data exploration with simple graphic tools, automatic feature extraction methods would be helpful. We will study and implement suitable compressing methods based on stable time stepping schemes and space-time adaptive error control to reduce the amount of data considerable. Furthermore, we will apply image processing methodology to appropriately visualize complex time-dependent flows and to extract important flow patterns. Thus, multi-scale methods will be considered, which naturally support a scale of data resolutions, ranging either from fine to coarse flow visualization or from many detailed features to only a few extracted, essential features. Furthermore, especially for problems with weaker dynamics (non turbulent flows), modern numerical methods allow significantly large time steps. In the postprocessing a simple interpolation turns out to be not the appropriate solution. We will consider image matching methods as a new approach to interpolate time steps of the flow simulation for animation purposes. Here a suitable balance between interactive performance and accuracy has to be found. Finally the developed visualization and analysis tools will be incorporated in a unique frame together with the numerical flow solvers.
DFG Programme
Priority Programmes
