Introduction to Theoretical and Computational Fluid Dynamics

2. Auflage 2011
ISBN: 978-0-19-975207-2
Verlag: Oxford University Press

Buch, Englisch, 1296 Seiten, Format (B × H): 257 mm x 191 mm, Gewicht: 2311 g

This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces analytical and numerical methods for solving a broad range of pertinent problems. Topics include an in-depth discussion of kinematics, elements of differential geometry of lines and surfaces, vortex dynamics, properties and computation of interfacial shapes in hydrostatics, exact solutions, flow at low Reynolds numbers, interfacial flows, hydrodynamic stability, boundary-layer analysis, vortex motion, boundary-integral methods for potential and Stokes flow, principles of computational fluid dynamics (CFD), and finite-difference methods for Navier-Stokes flow.

The discourse includes classical and original topics, as well as derivations accompanied by solved and unsolved problems that illustrate the theoretical results and explain the implementation of the numerical methods. Appendices provide a wealth of information and establish the necessary mathematical and numerical framework.

A unique and comprehensive synthesis of the essential aspects of the discipline, this volume serves as an ideal textbook in several graduate courses on theoretical and computational fluid dynamics, applied mathematics, and scientific computing. The material is an indispensable resource for professionals and researchers in various fields of science, chemical, mechanical, biomechanical, civil and aerospace engineering.

Zielgruppe

Advanced undergraduate students, graduate students, and researchers in most fields of science and engineering, applied mathematics and scientific computing

Autoren/Hrsg.

Pozrikidis, Constantine

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

- Preface

- Note to the Instructor

- Note to the Reader

- 1 Kinematic structure of a flow

- 2 Kinematic analysis of a flow

- 3 Stresses, the equation of motion, and vorticity transport

- 4 Hydrostatics

- 5 Exact solutions

- 6 Flow at low Reynolds numbers

- 7 Irrotational flow

- 8 Boundary-layer analysis

- 9 Hydrodynamic stability

- 10 Boundary-integral methods for potential flow

- 11 Vortex motion

- 12 Finite-difference methods for convection-diffusion

- 13 Finite-difference methods for incompressible Newtonian flow

- A Mathematical supplement

- B Primer of numerical methods

- C FDLIB software library

- D User Guide of directory 08 stab of FDLIB on hydrodynamic stab

- References

- Index

Über Autor(innen)

C. Pozrikidis has held positions as Professor of Fluid Mechanics and Chemical Engineering. He is well known for his contributions in fluid mechanics and biomechanics, applied mathematics and scientific computing. He has published numerous research papers and is the author of eight books and the editor of two contributed volumes.