An Introduction to Computational Fluid Mechanics by Example

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  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2011-04-12
  • Publisher: Wiley

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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

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

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