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Lagrangian fluid dynamics / Andrew Bennett.

By: Material type: TextTextSeries: Cambridge monographs on mechanicsPublisher: Cambridge : Cambridge University Press, 2006Description: 1 online resource (xxii, 286 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511734939 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 532.05 22
LOC classification:
  • QA911 .B46 2006
Online resources:
Contents:
Lagrangian kinematics -- Lagrangian statistics -- Lagrangian dynamics -- Coordinates -- Real fluids -- Some analytical Lagrangian solutions -- Sound waves, shear instabilities, Rossby waves, and Ptolemaic vortices -- Viscous incompressible flow -- General solvability -- Absolute dispersion -- Relative dispersion -- Convective subranges of the scalar variance spectrum -- Diffusion -- Observing systems -- Data analysis : the single particle -- Data analysis : particle clusters.
Summary: The emergence of observing systems such as acoustically-tracked floats in the deep ocean, and surface drifters navigating by satellite has seen renewed interest in Lagrangian fluid dynamics. Starting from the foundations of elementary kinematics and assuming some familiarity of Eulerian fluid dynamics, this 2006 book reviews the classical and new exact solutions of the Lagrangian framework, and then addresses the general solvability of the resulting general equations of motion. A unified account of turbulent diffusion and dispersion is offered, with applications among others to plankton patchiness in the ocean. Written at graduate level, the book provides the first detailed and comprehensive analytical development of the Lagrangian formulation of fluid dynamics, of interest not only to applied mathematicians but also oceanographers, meteorologists, mechanical engineers, astrophysicists and indeed all investigators of the dynamics of fluids.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Lagrangian kinematics -- Lagrangian statistics -- Lagrangian dynamics -- Coordinates -- Real fluids -- Some analytical Lagrangian solutions -- Sound waves, shear instabilities, Rossby waves, and Ptolemaic vortices -- Viscous incompressible flow -- General solvability -- Absolute dispersion -- Relative dispersion -- Convective subranges of the scalar variance spectrum -- Diffusion -- Observing systems -- Data analysis : the single particle -- Data analysis : particle clusters.

The emergence of observing systems such as acoustically-tracked floats in the deep ocean, and surface drifters navigating by satellite has seen renewed interest in Lagrangian fluid dynamics. Starting from the foundations of elementary kinematics and assuming some familiarity of Eulerian fluid dynamics, this 2006 book reviews the classical and new exact solutions of the Lagrangian framework, and then addresses the general solvability of the resulting general equations of motion. A unified account of turbulent diffusion and dispersion is offered, with applications among others to plankton patchiness in the ocean. Written at graduate level, the book provides the first detailed and comprehensive analytical development of the Lagrangian formulation of fluid dynamics, of interest not only to applied mathematicians but also oceanographers, meteorologists, mechanical engineers, astrophysicists and indeed all investigators of the dynamics of fluids.

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