Visualizing causal effects in 4D space-time vector fields

A method is presented for juxtaposing 4D space-time vector fields, of which one contains a source variable and the other the response field. Thresholding, ellipsoid fitting, and vortex line generation are used to reduce the amount of information and help analyze the relationship between two 3D vector variables evolving in time. The technique helps to highlight the topological relationship between the two in an effort to understand the causal connection. These concepts are applied to on-going research in evolving fluid dynamics problems.<
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