Annual Review of Fluid Mechanics· 2014Q1· Review
Lagrangian Coherent Structures
- 1,043citations
- Q1SCImago
- 2014year
Short summary
Lagrangian Coherent Structures (LCSs) provide a robust framework for understanding material transport in fluid dynamics, overcoming the limitations of individual particle trajectories.
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Key points
- LCSs represent a robust material surface skeleton within fluid flows, distinct from sensitive individual particle trajectories.
- LCSs are crucial for framing, quantifying, and forecasting material transport.
- Recent mathematical methods identify LCSs by their impact on fluid deformation.
- Applications of LCSs are illustrated in geophysical fluid dynamics.
AI-generated from the title and abstract; the full text is not read.
Abstract
Typical fluid particle trajectories are sensitive to changes in their initial conditions. This makes the assessment of flow models and observations from individual tracer samples unreliable. Behind complex and sensitive tracer patterns, however, there exists a robust skeleton of material surfaces, Lagrangian coherent structures (LCSs), shaping those patterns. Free from the uncertainties of single trajectories, LCSs frame, quantify, and even forecast key aspects of material transport. Several diagnostic quantities have been proposed to visualize LCSs. More recent mathematical approaches identify LCSs precisely through their impact on fluid deformation. This review focuses on the latter developments, illustrating their applications to geophysical fluid dynamics.
The authors' abstract, as published at the source. Annual Review of Fluid Mechanics, 2014 · DOI ↗
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Field: Computational Mechanics
Computational MechanicsEngineering