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