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A unique introduction to the field of computational fluid mechanics that utilizes the concept of hands-on teaching by real-world examples, An Introduction to Computational Fluid Mechanics by Example is based on the original text An Introduction to Fluid Mechanics by Chuen-Yen Chow, published thirty years ago. This new text incorporates some of the modern algorithmic developments into the solution techniques that are implemented in the vast number of examples provided, with an expanded scope that includes ...
A unique introduction to the field of computational fluid mechanics that utilizes the concept of hands-on teaching by real-world examples, An Introduction to Computational Fluid Mechanics by Example is based on the original text An Introduction to Fluid Mechanics by Chuen-Yen Chow, published thirty years ago. This new text incorporates some of the modern algorithmic developments into the solution techniques that are implemented in the vast number of examples provided, with an expanded scope that includes up-to-date methods for the solution of the Navier-Stokes equations, and an introduction to pseudo-spectral techniques. Written in a pedagogical style primarily targeting advanced seniors and first-year graduate students, this book includes advanced topics that can have appeal for researchers as well.
A comprehensive and detailed guide, An Introduction to Computational Fluid Mechanics by Example incorporates practical algorithms and numerical methods, along with the use of computer programs, to deliver a comprehensive view of the computational techniques crucial for predicting flow behavior. The book:
Provides up-to-date solution methods for the Navier-Stokes equations, including fractional step time-advancement, and pseudo-spectral methods
Contains numerous examples to reinforce the fundamentals of computational fluid mechanics
Includes revised computer codes supplied in MATLAB available on a companion website at www.wiley.com/go/biringen
Offers a broad new perspective—from mechanical and aerospace to civil, mechanical, and bioengineering disciplines
1 Flow Topics Governed by Ordinary Differential Equations: Initial-Value Problems.
1.1 Numerical Solution of Ordinary Differential Equations: Initial-Value Problems.
1.2 Free Falling of a Spherical Body.
1.3 Computer Simulation of Some Restrained Motions.
1.4 Fourth-Order Runge-Kutta Method for Computing Two-Dimensional Motions of a Body Through a Fluid.
1.5 Ballistics of a Spherical Projectile.
1.6 Flight Path of a Glider – A Graphical Presentation.
1.7 Rolling Up of the Trailing Vortex Sheet Behind a Finite Wing.
2 Inviscid Fluid Flows.
2.1 Incompressible Potential Flows.
2.2 Numerical Solution of Second-Order Ordinary Differential Equations: Boundary-Value Problems.
2.3 Radial Flow Caused by Distributed Sources and Sinks.
2.4 Inverse Method I: Superposition of Elementary Flows.
2.5 von Kármán’s Method for Approximating Flow Past Bodies of Revolution.
2.6 Inverse Method II: Conformal Mapping.
2.7 Classification of Second-Order Partial Differential Equations.
2.8 Numerical Methods for Solving Elliptic Partial Differential Equations.
2.9 Potential Flows in Ducts or Around Bodies – Irregular and Derivative Boundary Conditions.
2.10 Numerical Solution of Hyperbolic Partial Differential Equations.
2.11 Propagation and Reflection of a Small-Amplitude Wave.
2.12 Propagation of a Finite-Amplitude Wave: Formation of a Shock.
2.13 An Application to Biological Fluid Dynamics: Flow in an Elastic Tube.
3 Viscous Fluid Flows.
3.1 Governing Equations for Viscous Flows.
3.2 Self-Similar Laminar Boundary-Layer Flows.
3.3 Flat-Plate Thermometer Problem – Ordinary Boundary-Value Problems Involving Derivative Boundary Conditions.
3.4 Pipe and Open-Channel Flows.
3.5 Explicit Methods for Solving Parabolic Partial Differential Equations-Generalized Rayleigh Problem.
3.6 Implicit Methods for Solving Parabolic Partial Differential Equations-Starting Flow in a Channel.
3.7 Numerical Solution of Biharmonic Equations – Stokes’ Flows.
3.8 Flow Stability and Pseudo-Spectral Methods.
4 Numerical Solution of the Incompressible Navier Stokes Equations.
4.1 Flow Around a Sphere at Finite Reynolds Numbers – Galerkin Method.
4.2 Upwind Differencing and Artificial Viscosity.
4.3 Bénard and Taylor Instabilities.
4.4 Primitive Variable Formulation: Algorithmic Considerations.
4.5 Primitive Variable Formulation: Numerical Integration of the Navier-Stokes Equation.
4.6 Flow Past a Circular Cylinder: An Example For the Vorticity-Stream Function Formulation.