We review and discuss some different techniques for describing local dispersion properties in fluids. A recent Lagrangian diagnostics based on the finite scale Lyapunov exponent (FSLE), is presented and compared to the finite time Lyapunov exponent (FTLE), to the Okubo–Weiss (OW) and Hua–Klein (HK) criteria. We show that the OW and HK are the limiting case of the FTLE, and that the FSLE is the most efficient method for detecting the presence of cross-stream barriers. We illustrate our findings by considering two examples of geophysical interest: a kinematic model of a meandering jet, and Lagrangian tracers advected by stratospheric circulation. © 2001 Elsevier Science B.V. All rights reserved
A new diagnostic (the "Lyapunov diffusivity'') is presented that has the ability to quantify isentro...
International audienceTransport and mixing properties of surface currents can be detected from altim...
The finite size Lyapunov exponent (FSLE) has been used extensively since the late 1990s to diagnose ...
This article develops the theory of laminar dispersion in finite-length channel flows at high Péclet...
Existing spill models typically use a Lagrangian based method (usually random walk) to model the tra...
A data-driven procedure for identifying the dominant transport barriers in a time-varying flow from ...
Lagrangian motion in a quasi-two-dimensional, time-dependent, convective flow is studied at differen...
The present study aims to improve the calculus of finite-time Lyapunov exponents (FTLEs) applied to ...
We study the horizontal surface mixing and the transport induced by waves, using local Lyapunov expo...
The multi-scale and nonlinear nature of the ocean dynamics dramatically affects the spreading of mat...
International audienceCoherent nondispersive structures are known to play a crucial role in explaini...
The finite-time Lyapunov exponent (FTLE) is a powerful Lagrangian concept widely used for describing...
Most numerical metrics for diagnosing transport and mixing in fluid flows are based on calculating t...
A new diagnostic (the "Lyapunov diffusivity'') is presented that has the ability to quantify isentro...
International audienceTransport and mixing properties of surface currents can be detected from altim...
The finite size Lyapunov exponent (FSLE) has been used extensively since the late 1990s to diagnose ...
This article develops the theory of laminar dispersion in finite-length channel flows at high Péclet...
Existing spill models typically use a Lagrangian based method (usually random walk) to model the tra...
A data-driven procedure for identifying the dominant transport barriers in a time-varying flow from ...
Lagrangian motion in a quasi-two-dimensional, time-dependent, convective flow is studied at differen...
The present study aims to improve the calculus of finite-time Lyapunov exponents (FTLEs) applied to ...
We study the horizontal surface mixing and the transport induced by waves, using local Lyapunov expo...
The multi-scale and nonlinear nature of the ocean dynamics dramatically affects the spreading of mat...
International audienceCoherent nondispersive structures are known to play a crucial role in explaini...
The finite-time Lyapunov exponent (FTLE) is a powerful Lagrangian concept widely used for describing...
Most numerical metrics for diagnosing transport and mixing in fluid flows are based on calculating t...
A new diagnostic (the "Lyapunov diffusivity'') is presented that has the ability to quantify isentro...
International audienceTransport and mixing properties of surface currents can be detected from altim...
The finite size Lyapunov exponent (FSLE) has been used extensively since the late 1990s to diagnose ...