THOROUGH INSIGHTS BY ENHANCED VISUALIZATION OF FLOW TOPOLOGY

The investigation of flow data can be eased by the visualizati on of topological information about the flow. Especially, when empirical models or numerical results fro m flow simulation are investigated, often the first step of analysis is to search structural elements, like fixed points, separatrices, etc. The work presented in this paper focuses on the visualization of 3D dynamical sy stems (comparable to flow data) on the basis of results which are obtained by automatic analysis of the flo w topology. Fixed points are determined and the Jacobian matrix of the flow is investigated at these point s of phase space to obtain the associated stable and/or unstable invariant sets. Furthermore, this paper pr esents how Poincaré maps are used to visualize structural information about cyclic flow data together with direct visualization cues like stream lines or stream surfaces.

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