Lagrangian analysis is a powerful way to analyse the output of ocean circulation models and
other ocean velocity data such as from altimetry. In the Lagrangian approach, large sets of …

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 …

Cavitation within a tip leakage flow remains a challenging issue in a variety of axial
hydraulic machines. It is still not possible nowadays to predict cavitation occurrence in such …

Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of
complex dynamics. Utilising a pragmatic, physical approach, this self-contained book …

Coherent Lagrangian (material) structures are ubiquitous in unsteady fluid flows, often
observable indirectly from tracer patterns they create, for example, in the atmosphere and …

This paper develops the theory and computation of Lagrangian Coherent Structures (LCS),
which are defined as ridges of Finite-Time Lyapunov Exponent (FTLE) fields. These ridges …

This paper concerns heteroclinic connections and resonance transitions in the planar
circular restricted 3-body problem, with applications to the dynamics of comets and asteroids …

In the present paper, large eddy simulations combined with the Zwart cavitation model are
conducted to simulate the transient cavitating turbulent flow around a Delft Twisted hydrofoil …

We prove analytic criteria for the existence of finite-time attracting and repelling material
surfaces and lines in three-dimensional unsteady flows. The longest lived such structures …

We develop a mathematical theory that clarifies the relationship between observable
Lagrangian Coherent Structures (LCSs) and invariants of the Cauchy–Green strain tensor …