Lagrangian Fluid Dynamics (Cambridge Monographs on Mechanics)
Cambridge University Press
Edition: Illustrated, 3/9/2006
EAN 9780521853101, ISBN10: 0521853109
Hardcover, 310 pages, 22.9 x 15.2 x 2 cm
Language: English
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.
Part I. The Lagrangian Formulation
1. Lagrangian kinematics
2. Lagrangian statistics
3. Lagrangian dynamics
4. Coordinates
5. Real fluids
Part II. Lagrangian Flows
6. Some analytical Lagrangian solutions
7. Waves, instabilities and vortices
8. Viscous incompressible flow
9. General solvability
Part III. Diffusion
10. Absolute dispersion
11. Relative dispersion
12. Convective subranges, scalar variance spectrum
13. Diffusion
Part IV. Lagrangian Data
14. Observing systems
15. Data analysis
the single particle
16. Data analysis
particle clusters
References.