Transport barriers and coherent structures in flow data: advective, diffusive, stochastic and active methods

By: George HallerPublication details: Cambridge, U.K.: Cambridge University Press, [c2023]Description: 41 pISBN: 9781009225175LOC classification: TA357 .H35
Contents:
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.
Summary: 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.---summary provided by publisher
List(s) this item appears in: New Arrivals
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Item type Current library Collection Shelving location Call number Status Date due Barcode Item holds
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Physics Rack No 14 TA357 .H35 (Browse shelf (Opens below)) Pending hold 02877
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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.

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.---summary provided by publisher

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