Combining CHARDIRS and SPHERETUFTS

If both methods presented in the previous two sections are combined, the following advantages are achieved: first, a complete description of the flow topology is given through the CHARDIRS visualization. Additionally direct visualization cues are used to intuitively describe the local flow dynamics.

Fig. 6.5 demonstrates this combination of advantages in three different linear cases. A saddle focus (Fig. 6.5(a)) and two saddle nodes (Fig. 6.5(b,c)) are shown. Topology, geometry, and flow details are integrated within one pictorial representation. The figure on page  shows the Lorenz attractor visualized with this combined technique. The strong differences concerning velocity (about three orders of magnitude) become visible through direct visualization, while still topological information is provided.

  

Figure 6.5: Three different saddle configurations visualized using both the eigen-manifold visualization and bunches of streamlets. [left image] [center image] [right image]

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