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Fluid Mechanics
0 - Default Title
Description
After introducing the fundamental equations (Euler and Navier-Stokes), the book provides particular cases: ideal and viscous flows, shocks, boundary layers, instabilities, and transients. A restrained look at integrable systems (KdV) leads into a formulation of an ideal fluid as a hamiltonian system. Arnold's deep idea, that the instability of a fluid can be understood using the curvature of the diffeomorphism group, will be explained. Leray's work on regularity of Navier-Stokes solutions,and the modern developments arising from it, will be explained in language for physicists.
Although this is a book on theoretical physics, readers will learn basic numerical methods: spectral and finite difference methods, geometric integrators for ordinary differential equations. Readers will take a deep dive into chaotic dynamics, using the Smale horse shoe as an example. Aref's work on chaotic advection is explained. The book concludes with a self-contained introduction to renormalization, an idea from high energy physics which is expected to be useful in developing a theory ofturbulence.
Product details
Edition:
illustrated
Number of Pages:
270
Release Date:
2018-10-30
Publication Date:
2013-07-04
Publisher:
ACADEMIC
Languages:
Original:
English
ISBN10:
0198805020
ISBN13:
9780198805021
GPSR Manufacturer Reference:
Weight:
708 g
Height:
183 cm
Width:
260 cm
Thickness:
19 cm
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