This work reviews the present position of and surveys future perspectives in the physics of
chaotic advection: the field that emerged three decades ago at the intersection of fluid …

Transport and mixing of scalar quantities in fluid flows is ubiquitous in industry and Nature.
While the more familiar turbulent flows promote efficient transport and mixing by their …

In this paper we study the three-dimensional (3-D) Lagrangian structures in the stratospheric
polar vortex (SPV) above Antarctica. We analyse and visualize these structures using …

Since the 1980s, the application of concepts and ideas from dynamical systems theory to
analyze phase space structures has provided a fundamental framework to understand long …

In this numerical study, we investigate the mixing properties of an acoustic driven flow in a
parallelepipedic cavity with square basis in view of applications in photovoltaic crystal …

We analyze the geometry of Lagrangian motion and material barriers in a time-dependent,
three-dimensional, Ekman-driven, rotating cylinder flow, which serves as an idealization for …

We present a method, based on B-splines, to calculate a C 2 continuous analytic vector
potential from discrete 3D velocity data on a regular grid. A continuous analytically …

Analysis of the periodic points of a conservative periodic dynamical system uncovers the
basic kinematic structure of the transport dynamics and identifies regions of local stability or …

Laminar mixing by the inline-mixing principle is a key to many industrial fluids-engineering
systems of size extending from micrometers to meters. However, insight into fundamental …

The present study concerns the Lagrangian dynamics of three-dimensional (3D) buoyancy-
driven cavity flows under steady and laminar conditions due to a global temperature …