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.
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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.
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'This is a must read for anyone interested in data-driven fluid mechanics. Coherent structures are central to how we understand fluids, and Haller has been a pioneer in this field for decades. This book covers an exciting range of topics from introductory to advanced material, complete with beautiful graphics and illustrations.' Steven L. Brunton, University of Washington
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Explore a wealth of proven mathematical methods for uncovering transport barriers in numerical, experimental and observational flow data.
Produktdetaljer
ISBN
9781009225175
Publisert
2023-03-16
Utgiver
Vendor
Cambridge University Press
Vekt
1030 gr
Høyde
260 mm
Bredde
182 mm
Dybde
24 mm
Aldersnivå
UP, UU, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
426
Forfatter