Lagrangian Fluid Dynamics(ISBN=9780521853101) 下载 pdf 百度网盘 epub 免费 2025 电子版 mobi 在线

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 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

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编辑推荐

The first book that gives a unified account of Lagrangian fluid

dynamics ? Well-respected and experienced author in the fields of

oceanography and mathematics ? Written at graduate level and can be

used as an academic reference for oceanographers, meteorologists,

mechanical engineers, astrophysicists or all investigators of the

dynamics of fluids

书籍介绍

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.