Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session D01: Nonlinear Dynamics: Coherent Structures I
2:30 PM–4:27 PM,
Sunday, November 18, 2018
Georgia World Congress Center
Room: B201
Chair: Rich Kerswell, University of Cambridge
Abstract ID: BAPS.2018.DFD.D01.1
Abstract: D01.00001 : Exact Coherent Structures in a Quasi-Two-Dimensional Kolmogorov-like Flow*
2:30 PM–2:43 PM
Presenter:
Balachandra Suri
(Georgia Inst of Tech, Institute of Science and Technology, Austria)
Authors:
Balachandra Suri
(Georgia Inst of Tech, Institute of Science and Technology, Austria)
Jeffrey R Tithof
(Univ of Rochester)
Logan Kageorge
(Georgia Inst of Tech)
Ravi Kumar Pallantla
(Georgia Inst of Tech)
Roman O Grigoriev
(Georgia Inst of Tech)
Michael F Schatz
(Georgia Inst of Tech)
Identifying instants when turbulent evolution slows down, we compute 31 dynamically relevant unstable equilibria of a realistic 2D model for the flow in experiment.
Using two illustrative examples, we quantitatively validate that turbulent trajectories departing from the neighborhoods of unstable equilibria shadow their unstable manifolds over large distances in state space. Lastly, exploring dynamics along trajectories that lie in the unstable manifold of an equilibrium, we identify heteroclinic connections that terminate at another equilibrium/limit-cycle far away.
*National Science Foundation (CMMI-1234436, DMS-1125302, CMMI-1725587) and Defense Advanced Research Projects Agency (HR0011-16-2-0033).
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.D01.1
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