Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction
Bujack R, Dutta S, Zhang D, Günther T (2019)
Publication Language: English
Publication Type: Conference contribution, Conference Contribution
Publication year: 2019
Pages Range: 1-10
Event location: Nyköping
Abstract
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.
Authors with CRIS profile
Involved external institutions
Los Alamos National Laboratory
United States (USA) (US)
Eidgenössische Technische Hochschule Zürich (ETHZ) / Swiss Federal Institute of Technology in Zurich
Switzerland (CH)
United States (USA) (US)
Eidgenössische Technische Hochschule Zürich (ETHZ) / Swiss Federal Institute of Technology in Zurich
Switzerland (CH)
How to cite
APA:
Bujack, R., Dutta, S., Zhang, D., & Günther, T. (2019). Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction. In Proceedings of the TopoInVis (pp. 1-10). Nyköping, SE.
MLA:
Bujack, Roxana, et al. "Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction." Proceedings of the TopoInVis, Nyköping 2019. 1-10.
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