Experimental measurements and simulations in the sciences and engineering
create increasing data sets. The efficient evaluation by users needs new
approaches for analysis and visualization. A typical application is given
by fluid dynamics. The talk presents new methods for the effective
visualization of flow simulation data based on mathematical data
analysis. Die basic concepts have their origin in the topological
analysis and the detection of salient features in fluid flows. The talk
will especially show the visual analysis of vortex break down, flow
separation on surfaces, and the analysis of contact between vortices and
surfaces.