Cover image for An introduction to computational fluid mechanics by example
Title:
An introduction to computational fluid mechanics by example
Personal Author:
Edition:
2nd ed. / Sedat Biringen, Chuen-Yen Chow.
Publication Information:
Hoboken, N.J. : Wiley, c2011.
Physical Description:
x, 310 p. : ill. ; 25 cm.
ISBN:
9780470102268
General Note:
Chow's name appears first on the previous edition
Abstract:
"The proposed book will be a revision and update of the textbook entitled: "An Introduction to Computational Fluid Mechanics" by C. Y. Chow which was originally published in 1979. The original edition was written for senior undergraduate and first-year graduate students as well as professional engineers and researchers in the mechanical and aerospace industries. In the decades that have passed since this first edition was published the field of computational fluid dynamics has seen a number of changes in both the sophistication of the algorithms used but also advances in the computer hardware and software available. The proposed revision will incorporate the latest algorithms in the solution techniques and will support this by using numerous examples of applications to a broader range of industries from the original mechanical and aerospace disciplines to now include civil and biosciences. The computer programs will be updated and will include both Fortran 77 and MATLAB. The core of the text will also be expanded to include more up-to-date solution methods for the Navier-Stokes equations, including fractional step time-advancement, and pseudo-spectral methods. A solutions manual will be made available as well."--Provided by publisher.

"This book builds on the original classic textbook entitled: "An Introduction to Computational Fluid Mechanics" by C. Y. Chow which was originally published in 1979. The original edition was written for senior undergraduate and first-year graduate students as well as professional engineers and researchers in the mechanical and aerospace industries. In the decades that have passed since this book was published the field of computational fluid dynamics has seen a number of changes in both the sophistication of the algorithms used but also advances in the computer hardware and software available"--Provided by publisher.
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Summary

Summary

This new book builds on the original classic textbook entitled: An Introduction to Computational Fluid Mechanics by C. Y. Chow which was originally published in 1979. In the decades that have passed since this book was published the field of computational fluid dynamics has seen a number of changes in both the sophistication of the algorithms used but also advances in the computer hardware and software available. This new book incorporates the latest algorithms in the solution techniques and supports this by using numerous examples of applications to a broad range of industries from mechanical and aerospace disciplines to civil and the biosciences. The computer programs are developed and available in MATLAB. In addition the core text provides up-to-date solution methods for the Navier-Stokes equations, including fractional step time-advancement, and pseudo-spectral methods. The computer codes at the following website: www.wiley.com/go/biringen


Author Notes

Dr. Sedat Biringen is a Professor of Aerospace Engineering Sciences at the University of Colorado, Boulder. His main research interest is in the area of turbulence and transition simulation, a subject for which he has published numerous journal and conference articles. He obtained his BSc and MSc in mechanical engineering from Robert College, Istanbul, and earned his PhD in applied mechanics from the Universit libre de Bruxelles. He is the principal editor of the book Industrial and Environmental Applications of Direct and Large Eddy Simulation and is an Associate Fellow of AIAA.
Dr. Chuen-Yen Chow is an Emeritus Professor of Aerospace Engineering at the University of Colorado, Boulder. After obtaining his PhD in aeronautical and astronautical Engineering from the University of Michigan in 1964, he taught at University of Notre Dame before joining University of Colorado in 1968. He is an Associate Fellow of AIAA, the coauthor of the third through fifth editions of the Foundations of Aerodynamics and author of An Introduction to Computational, Fluid Mechanics (both from Wiley).


Table of Contents

Prefacep. ix
1 Flow Topics Governed by Ordinary Differential Equations: Initial-Value Problemsp. 1
1.1 Numerical Solution of Ordinary Differential Equations: Initial-Value Problemsp. 1
1.2 Free Falling of a Spherical Bodyp. 5
1.3 Computer Simulation of Some Restrained Motionsp. 13
1.4 Fourth-Order Runge-Kutta Method for Computing Two-Dimensional Motions of a Body through a Fluidp. 22
1.5 Ballistics of a Spherical Projectilep. 24
1.6 Flight Path of a Glider-A Graphical Presentationp. 32
1.7 Rolling Up of the Trailing Vortex Sheet behind a Finite Wingp. 35
Appendixp. 44
2 Inviscid Fluid Flowsp. 50
2.1 Incompressible Potential Flowsp. 51
2.2 Numerical Solution of Second-Order Ordinary Differential Equations: Boundary-Value Problemsp. 55
2.3 Radial Flow Caused by Distributed Sources and Sinksp. 60
2.4 Inverse Method I: Superposition of Elementary Flowsp. 61
2.5 von Kármán's Method for Approximating Flow Past Bodies of Revolutionp. 69
2.6 Inverse Method II: Conformal Mappingp. 76
2.7 Classification of Second-Order Partial Differential Equationsp. 87
2.8 Numerical Methods for Solving Elliptic Partial Differential Equationsp. 90
2.9 Potential Flows in Ducts or around Bodies-Irregular and Derivative Boundary Conditionsp. 96
2.10 Numerical Solution of Hyperbolic Partial Differential Equationsp. 105
2.11 Propagate-and Reflection of a Small-Amplitude Wavep. 110
2.11 Propagation and Reflection of a Small-Amplitude Wavep. 110
2.12 Propagation of a Finite-Amplitude Wave: Formation of a Shockp. 120
2.13 An Application to Biological Fluid Dynamics: Flow in an Elastic Tubep. 128
Appendixp. 143
3 Viscous Fluid Flowsp. 145
3.1 Governing Equations for Viscous Flowsp. 145
3.2 Self-Similar Laminar Boundary-Layer Flowsp. 147
3.5 Hit-Plate Thermometer Problem-Ordinary Boundary-Value Problems Involving Derivative Boundary Conditionsp. 157
3.4 Pipe and Oren-Channel Flowsp. 163
3.5 Explicit Methods for Solving Parabolic Partial Differential Equations-Generalized Rayleigh Problemp. 168
3.6 Implicit Methods for Solving Parabolic Partial Differential Equations-Starting Flow in a Channelp. 173
3.7 Numerical Solution of Biharmonic Equations-Stokes Flowsp. 179
3.8 Flow Stability and Pseudo-Spectral Methodsp. 185
Appendixp. 207
4 Numerical Solution of the Incompressible Navier-Stokes Equationp. 215
4.1 Flow around a Sphere at Finite Reynolds Numbers-Galerkin Methodp. 216
4.2 Upwind Differencing and Artificial Viscosityp. 229
4.3 Benard and Taylor Instabilitiesp. 234
4.4 Primitive Variable Formulation: Algorithmic Considerationsp. 249
4.5 Primitive Variable Formulation: Numerical Integration of the Navier-Stokes Equationp. 258
4.6 Flow Past a Circular Cylinder: An Example for the Vorticity-Stream Function Formulationp. 280
Appendixp. 297
Bibliographyp. 298
Indexp. 303