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Introduction to Computational Fluid Mechanics by Example.
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ISBN
9780470915158
-- 9780470102268
Author
Biringen, Sedat
Title
Introduction to Computational Fluid Mechanics by Example.
2nd ed.
Description
1 online resource (322 pages)
Contents
AN INTRODUCTION TO COMPUTATIONAL FLUID MECHANICS BY EXAMPLE -- 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 -- Appendix -- 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 -- Appendix -- 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 -- Appendix -- 4 Numerical Solution of the Incompressible Navier-Stokes Equation -- 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 -- Appendix -- Bibliography -- Index.
Subject
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Fluid mechanics -- Data processing
Fluid mechanics
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Chow, Chuen-Yen
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Fluid mechanics
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Fluid mechanics -- Data processing
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Biringen, Sedat
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Chow, Chuen-Yen
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