Bujack R, Dutta S, Zhang D, Günther T (2021)
Publication Language: English
Publication Type: Book chapter / Article in edited volumes
Publication year: 2021
Publisher: Springer
Edited Volumes: Topological Methods in Data Analysis and Visualization VI
We extend the definition of the classic instantaneous vector field saddles, sinks, and sources to the finite-time setting by categorizing the domain based on the behavior of the flow map w.r.t. contraction or expansion. Since the intuitive Lagrangian approach turns out to be unusable in practice because it requires advection in unstable regions, we provide an alternative, sufficient criterion that can be computed in a robust way. We show that both definitions are objective, relate them to existing approaches, and show how the generalized critical points and their separatrices can be visualized.
APA:
Bujack, R., Dutta, S., Zhang, D., & Günther, T. (2021). Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction. In Topological Methods in Data Analysis and Visualization VI. Springer.
MLA:
Bujack, Roxana, et al. "Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction." Topological Methods in Data Analysis and Visualization VI. Springer, 2021.
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