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Transport Barriers and Coherent Structures in Flow Data - Advective, Diffusive, Stochastic and Active Methods (Hardcover)
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Transport Barriers and Coherent Structures in Flow Data - Advective, Diffusive, Stochastic and Active Methods (Hardcover)
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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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