Modern Fluid Dynamics for Physics and Astrophysics

✍ Scribed by Oded Regev, Orkan M. Umurhan, Philip A. Yecko (auth.)

• Publisher: Springer-Verlag New York
• Year: 2016
• Tongue: English
• Leaves: 699
• Series: Graduate Texts in Physics
• Edition: 1
• Category: Library

✦ Synopsis

This book grew out of the need to provide students with a solid introduction to modern fluid dynamics. It offers a broad grounding in the underlying principles and techniques used, with some emphasis on applications in astrophysics and planetary science.

The book comprehensively covers recent developments, methods and techniques, including, for example, new ideas on transitions to turbulence (via transiently growing stable linear modes), new approaches to turbulence (which remains the enigma of fluid dynamics), and the use of asymptotic approximation methods, which can give analytical or semi-analytical results and complement fully numerical treatments. The authors also briefly discuss some important considerations to be taken into account when developing a numerical code for computer simulation of fluid flows.

Although the text is populated throughout with examples and problems from the field of astrophysics and planetary science, the text is eminently suitable as a general introduction to fluid dynamics. It is assumed that the readers are mathematically equipped with a reasonable knowledge in analysis, including basics of ordinary and partial differential equations and a good command of vector calculus and linear algebra.

Each chapter concludes with bibliographical notes in which the authors briefly discuss the chapter's essential literature and give recommendations for further, deeper reading. Included in each chapter are a number of problems, some of them relevant to astrophysics and planetary science. The book is written for advanced undergraduate and graduate students, but will also prove a valuable source of reference for established researchers.

✦ Table of Contents

Front Matter....Pages i-xxiii
Fundamentals....Pages 1-56
Restricted and Vortical Flows....Pages 57-120
Viscous Flows....Pages 121-159
Linear and Nonlinear Incompressible Waves....Pages 161-239
Rotating Flows....Pages 241-304
Effects of Compressibility....Pages 305-408
Hydrodynamic Stability....Pages 409-471
Weakly Nonlinear Instability....Pages 473-506
Turbulence....Pages 507-593
Magnetohydrodynamics....Pages 595-661
Back Matter....Pages 663-680

✦ Subjects

Astronomy, Astrophysics and Cosmology; Mechanics; Theoretical, Mathematical and Computational Physics