TY  - BOOK
AU  - Bennett,Andrew F.
TI  - Lagrangian fluid dynamics
T2  - Cambridge monographs on mechanics
SN  - 9780511734939 (ebook)
AV  - QA911 .B46 2006
U1  - 532.05 22
PY  - 2006///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Fluid dynamics
KW  - Lagrange equations
N1  - 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511734939
ER  -