A first course in computational fluid dynamics:
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom
Cambridge University Press
2018
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | ix, 394 Seiten Diagramme (teilweise farbig) |
| ISBN: | 9781107178519 1107178517 9781316630969 131663096X |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text |
A FIRST COURSE IN COMPUTATIONAL FLUID DYNAMICS
/ AREF, HASSANYYD1950-YYEAUTHOR
: 2017
TABLE OF CONTENTS / INHALTSVERZEICHNIS
CFD IN PERSPECTIVE
MAPPINGS
ORDINARY DIFFERENTIAL EQUATIONS: INITIAL VALUE PROBLEM
SPATIAL DISCRETIZATION
BOUNDARY AND EIGENVALUE VALUE ODES
METHODS BASED ON FUNCTIONAL EXPANSIONS
PARTIAL DIFFERENTIAL EQUATIONS
MULTI-DIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
Titel: A first course in computational fluid dynamics
Autor: Aref, Hassan
Jahr: 2018
Contents
Preface page vii
CFD in Perspective 1
1.1 The Nature of CFD 1
1.2 Overview of the Book 3
1.3 Algorithm, Numerical Method, Implementation and Simulation 5
1.4 Models and Methods 9
1.5 Round-off Error 15
1.6 A Hierarchy of Computation 18
1.7 Ramification, Turbulence and the Complexity of Fluid Flows 26
1.8 The Development of Computer Hardware 31
1.9 Some Remarks on Software 33
Mappings 35
2.1 Numerical Methods as Mappings 35
2.2 Fixed Points: Stability, Instability and Superstability 37
2.3 Stability of Exact Solution, Implicit and Explicit Approximations 40
2.4 More on Mappings 43
2.5 Random Number Generation 50
2.6 Newton's Method in the Complex Plane 52
2.7 Mappings and Fluid Flows 56
Ordinary Differential Equations: Initial Value Problem 69
3.1 Some Conventional Wisdom 69
3.2 Explicit Euler and Implicit Euler Schemes 71
3.3 Runge-Kutta Methods 77
3.4 Adams-Bashforth-Moulton Methods 84
3.5 Other Methods and Considerations 90
3.6 Bashforth's Problem: Sessile Drop on a Flat Plate 92
3.7 Flow Due to a Collapsing Bubble 95
3.8 Motion of a Solid in Ideal Fluid 103
3.9 The Point-Vortex Equations 106
3.10 Vortex Sheet Roll-up 111
Contents
4 Spatial Discretization 118
4.1 Forward, Backward and Central Difference 119
4.2 Matrix Derivative Operators 127
4.3 Compact Differences 138
4.4 Non-uniform Discretization 141
4.5 Numerical Interpolation 144
4.6 Numerical Integration 149
5 Boundary Value and Eigenvalue ODEs 166
5.1 Linear Boundary Value Problems 167
5.2 Nonlinear Boundary Value Problems 175
5.3 Boundary Value Problems in Viscous Flow 184
5.4 Eigenvalue Problems 188
5.5 Hydrodynamic Instability 192
6 Methods Based on Functional Expansions 210
6.1 Introduction 210
6.2 Fourier Approximation 211
6.3 Polynomial Approximation 218
6.4 Galerkin, Tau, Collocation and Pseudo-spectral Methods 226
6.5 Some Examples 240
7 Partial Differential Equations 244
7.1 Definitions and Preliminaries 244
7.2 The Advection Equation 250
7.3 The Diffusion Equation 259
7.4 The Advection-Diffusion Equation 262
7.5 Godunov's Theorem 267
7.6 More on Stability: Non-periodic Boundary Conditions 270
7.7 Burgers' Equation 279
7.8 Implicit Time-differencing 283
7.9 Direct Solution with Matrix Representation 287
8 Multi-dimensional Partial Differential Equations 293
8.1 Multi-dimensions 293
8.2 Navier-Stokes Equations 309
8.3 Navier-Stokes Equations in Spectral Form 328
8.4 Finite Volume Formulation 334
8.5 CFD for Complex Geometries 337
8.6 Sharp Interface Cartesian Grid Method 356
8.7 Immersed Boundary Method 360
References 375
Index 390 |
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| title | A first course in computational fluid dynamics |
| title_auth | A first course in computational fluid dynamics |
| title_exact_search | A first course in computational fluid dynamics |
| title_full | A first course in computational fluid dynamics H. Aref, Virginia Polytechnic Institute and State University; S. Balachandar, University of Florida |
| title_fullStr | A first course in computational fluid dynamics H. Aref, Virginia Polytechnic Institute and State University; S. Balachandar, University of Florida |
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| title_short | A first course in computational fluid dynamics |
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