An Introduction to Computational Fluid Mechanics by Example

by Biringen, Sedat; Chow, Chuen-Yen

• ISBN13: 9780470102268
• ISBN10: 0470102268
• Edition: 2nd
• Format: Hardcover
• Copyright: 2011-04-12
• Publisher: Wiley

Summary

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.

Author Biography

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

Preface	p. ix
Flow Topics Governed by Ordinary Differential Equations: Initial-Value Problems	p. 1
Numerical Solution of Ordinary Differential Equations: Initial-Value Problems	p. 1
Free Falling of a Spherical Body	p. 5
Computer Simulation of Some Restrained Motions	p. 13
Fourth-Order Runge-Kutta Method for Computing Two-Dimensional Motions of a Body through a Fluid	p. 22
Ballistics of a Spherical Projectile	p. 24
Flight Path of a Glider-A Graphical Presentation	p. 32
Rolling Up of the Trailing Vortex Sheet behind a Finite Wing	p. 35
Appendix	p. 44
Inviscid Fluid Flows	p. 50
Incompressible Potential Flows	p. 51
Numerical Solution of Second-Order Ordinary Differential Equations: Boundary-Value Problems	p. 55
Radial Flow Caused by Distributed Sources and Sinks	p. 60
Inverse Method I: Superposition of Elementary Flows	p. 61
von Kármán's Method for Approximating Flow Past Bodies of Revolution	p. 69
Inverse Method II: Conformal Mapping	p. 76
Classification of Second-Order Partial Differential Equations	p. 87
Numerical Methods for Solving Elliptic Partial Differential Equations	p. 90
Potential Flows in Ducts or around Bodies-Irregular and Derivative Boundary Conditions	p. 96
Numerical Solution of Hyperbolic Partial Differential Equations	p. 105
Propagate-and Reflection of a Small-Amplitude Wave	p. 110
Propagation and Reflection of a Small-Amplitude Wave	p. 110
Propagation of a Finite-Amplitude Wave: Formation of a Shock	p. 120
An Application to Biological Fluid Dynamics: Flow in an Elastic Tube	p. 128
Appendix	p. 143
Viscous Fluid Flows	p. 145
Governing Equations for Viscous Flows	p. 145
Self-Similar Laminar Boundary-Layer Flows	p. 147
Hit-Plate Thermometer Problem-Ordinary Boundary-Value Problems Involving Derivative Boundary Conditions	p. 157
Pipe and Oren-Channel Flows	p. 163
Explicit Methods for Solving Parabolic Partial Differential Equations-Generalized Rayleigh Problem	p. 168
Implicit Methods for Solving Parabolic Partial Differential Equations-Starting Flow in a Channel	p. 173
Numerical Solution of Biharmonic Equations-Stokes Flows	p. 179
Flow Stability and Pseudo-Spectral Methods	p. 185
Appendix	p. 207
Numerical Solution of the Incompressible Navier-Stokes Equation	p. 215
Flow around a Sphere at Finite Reynolds Numbers-Galerkin Method	p. 216
Upwind Differencing and Artificial Viscosity	p. 229
Benard and Taylor Instabilities	p. 234
Primitive Variable Formulation: Algorithmic Considerations	p. 249
Primitive Variable Formulation: Numerical Integration of the Navier-Stokes Equation	p. 258
Flow Past a Circular Cylinder: An Example for the Vorticity-Stream Function Formulation	p. 280
Appendix	p. 297
Bibliography	p. 298
Index	p. 303
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