Introduction to theoretical and computational fluid dynamics / C. Pozrikidis.

Format:

Book

Author/Creator:

Pozrikidis, C. (Constantine), 1958- author.

Language:

English

Subjects (All):

Fluid dynamics.

Physical Description:

1 online resource (xxix, 1243 p.) : ill.

Edition:

Second edition

Place of Publication:

New York : Oxford University Press, 2011.

Summary:

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.

Contents:

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.

Notes:

Previous ed.: 1997.

Includes bibliographical references (p. 1200-1224) and index.

Description based on metadata supplied by the publisher and other sources.

ISBN:

9780199909124

1-283-65679-5

0-19-990912-1

OCLC:

812917029