Transport Barriers and Coherent Structures in Flow Data
Advective, Diffusive, Stochastic and Active Methods

Explore a wealth of proven mathematical methods for uncovering transport barriers in numerical, experimental and observational flow data.

George Haller (Author)

9781009225175, Cambridge University Press

Hardback, published 16 March 2023

426 pages
26 x 18.2 x 2.4 cm, 1.03 kg

'… essential reading in areas related to chemical engineering, geophysical flows, and aerodynamics, to name a few of its applications. … Highly recommended.' R. N. Laoulache, Choice

Transport barriers are observed inhibitors of the spread of substances in flows. The collection of such barriers offers a powerful geometric template that frames the main pathways, or lack thereof, in any transport process. This book surveys effective and mathematically grounded methods for defining, locating and leveraging transport barriers in numerical simulations, laboratory experiments, technological processes and nature. It provides a unified treatment of material developed over the past two decades, focusing on the methods that have a solid foundation and broad applicability to data sets beyond simple model flows. The intended audience ranges from advanced undergraduates to researchers in the areas of turbulence, geophysical flows, aerodynamics, chemical engineering, environmental engineering, flow visualization, computational mathematics and dynamical systems. Detailed open-source implementations of the numerical methods are provided in an accompanying collection of Jupyter notebooks linked from the electronic version of the book.

1. Introduction
2. Eulerian and Lagrangian fundamentals
3. Objectivity of transport barriers
4. Barriers to chaotic advection
5. Lagrangian and objective Eulerian coherent structures
6. Flow separation and attachment surfaces as transport barriers
7. Inertial LCSs: Transport barriers in finite-size particle motion
8. Passive barriers to diffusive and stochastic transport
9. Dynamically active barriers to transport
Appendix
References
Index.

Subject Areas: Mechanics of fluids [TGMF], Meteorology & climatology [RBP], Oceanography [seas RBKC], Geophysics [PHVG], Dynamics & statics [PHDT], Fluid mechanics [PHDF]