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Updated: Dec 31, 2025
11:51
Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
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Observability of laminar bidimensional fluid flows seen as autonomous chaotic systems
Gisela D Charó1, Denisse Sciamarella2, Sylvain Mangiarotti3
1Laboratorio de Fluidodinámica, Facultad de Ingeniería, Universidad de Buenos Aires, CONICET, C1063ACV CABA, Argentina.
Chaos (Woodbury, N.Y.)
|January 3, 2020
Summary
This study revisits Lagrangian transport and chaotic mixing, emphasizing state space observability. It demonstrates how to observe Lagrangian chaos from limited data using canonical fluid dynamics models.
Area of Science:
- Fluid dynamics
- Dynamical systems theory
- Chaos theory
Background:
- Lagrangian transport and chaotic mixing are crucial in fluid dynamics.
- Previous studies often overlooked the connection between state space and observability.
- Understanding these phenomena is vital for analyzing complex fluid flows.
Purpose of the Study:
- To redefine Lagrangian transport and chaotic mixing by incorporating observability.
- To investigate the observability of Lagrangian chaos from reduced measurement sets.
- To propose a symmetrized version of the driven double-gyre model.
Main Methods:
- Rewriting nonautonomous flow systems in autonomous form.
- Analyzing dynamics without restricting characterization to subspaces.
- Illustrating observability using the Lorenz system and the driven double-gyre system.
Main Results:
- Established the importance of state space observability in Lagrangian transport.
- Demonstrated the observability of Lagrangian chaos from limited measurements.
- Showcased the applicability to canonical systems like the Lorenz and double-gyre models.
Conclusions:
- Observability is a key factor in understanding Lagrangian chaos.
- The proposed methods provide a framework for analyzing complex fluid systems.
- The study offers new insights into fluid mixing and transport dynamics.
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