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[资源] An Introduction to Computational Fluid Mechanics by Example 计算流体力学实例导论

An Introduction to Computational Fluid Mechanics by Example, 2nd Edition
by Sedat Biringen, Chuen-Yen Chow

Table of Contents
Preface.

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.

Bibliography.

Index.

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