An Introduction to Computational Fluid Mechanics by Example
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.
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).