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This comprehensively updated new edition covers the fundamental concepts and main methods of modern Computational Fluid Dynamics (CFD). With expert guidance and a wealth of useful techniques, the book offers a clear, concise, and accessible account of the essentials needed to perform and interpret a CFD analysis.
The new edition adds a plethora of new information on such topics as the techniques of interpolation, finite volume discretization on unstructured grids, projection methods, and RANS turbulence modeling. The book has been thoroughly edited to improve clarity and to reflect the recent changes in the practice of CFD. It also features a large number of new end-of-chapter problems.
All the attractive features that have contributed to the success of the first edition are retained by this version. The book remains an indispensable guide, which:
* Introduces CFD to students and working professionals in the areas of practical applications, such as mechanical, civil, chemical, biomedical, or environmental engineering
* Focuses on the needs of someone who wants to apply existing CFD software and understand how it works, rather than develop new codes
* Covers all the essential topics, from the basics of discretization to turbulence modeling and uncertainty analysis
* Discusses complex issues using simple worked examples and reinforces learning with problems
* Is accompanied by a website hosting lecture presentations and a solution manual
Essential Computational Fluid Dynamics, Second Edition is an ideal textbook for senior undergraduate and graduate students taking their first course on CFD. It is also a useful reference for engineers and scientists working with CFD applications.
This comprehensively updated new edition covers the fundamental concepts and main methods of modern Computational Fluid Dynamics (CFD). With expert guidance and a wealth of useful techniques, the book offers a clear, concise, and accessible account of the essentials needed to perform and interpret a CFD analysis.
The new edition adds a plethora of new information on such topics as the techniques of interpolation, finite volume discretization on unstructured grids, projection methods, and RANS turbulence modeling. The book has been thoroughly edited to improve clarity and to reflect the recent changes in the practice of CFD. It also features a large number of new end-of-chapter problems.
All the attractive features that have contributed to the success of the first edition are retained by this version. The book remains an indispensable guide, which:
* Introduces CFD to students and working professionals in the areas of practical applications, such as mechanical, civil, chemical, biomedical, or environmental engineering
* Focuses on the needs of someone who wants to apply existing CFD software and understand how it works, rather than develop new codes
* Covers all the essential topics, from the basics of discretization to turbulence modeling and uncertainty analysis
* Discusses complex issues using simple worked examples and reinforces learning with problems
* Is accompanied by a website hosting lecture presentations and a solution manual
Essential Computational Fluid Dynamics, Second Edition is an ideal textbook for senior undergraduate and graduate students taking their first course on CFD. It is also a useful reference for engineers and scientists working with CFD applications.
About the Companion Website xxi
1 What is CFD? 1
1.1. Introduction 1
1.2. Brief History of CFD 4
1.3. Outline of the Book 5
Bibliography 7
I Fundamentals 9
2 Governing Equations of Fluid Dynamics and Heat Transfer 11
2.1. Preliminary Concepts 11
2.2. Conservation Laws 14
2.2.1. Conservation of Mass 15
2.2.2. Conservation of Chemical Species 15
2.2.3. Conservation of Momentum 16
2.2.4. Conservation of Energy 20
2.3. Equation of State 21
2.4. Equations of Integral Form 22
2.5. Equations in Conservation Form 25
2.6. Equations in Vector Form 26
2.7. Boundary Conditions 27
2.7.1. Rigid Wall Boundary Conditions 28
2.7.2. Inlet and Exit Boundary Conditions 29
2.7.3. Other Boundary Conditions 30
2.8. Dimensionality and Time Dependence 31
2.8.1. Two- and One-Dimensional Problems 32
2.8.2. Equilibrium and Marching Problems 33
Bibliography 34
Problems 34
3 Partial Different Equations 37
3.1. Model Equations: Formulation of a PDE Problem 38
3.1.1. Model Equations 38
3.1.2. Domain, Boundary and Initial Conditions, and Well-Posed PDE Problem 40
3.1.3. Examples 42
3.2. Mathematical Classification of PDEs of Second Order 45
3.2.1. Classification 45
3.2.2. Hyperbolic Equations 48
3.2.3. Parabolic Equations 50
3.2.4. Elliptic Equations 52
3.2.5. Classification of Full Fluid Flow and Heat Transfer Equations 52
3.3. Numerical Discretization: Different Kinds of CFD 53
3.3.1. Spectral Methods 54
3.3.2. Finite Element Methods 56
3.3.3. Finite Difference and Finite Volume Methods 56
Bibliography 59
Problems 59
4 Finite Difference Method 63
4.1. Computational Grid 63
4.1.1. Time Discretization 63
4.1.2. Space Discretization 64
4.2. Finite Difference Approximation 65
4.2.1. Approximation of au/ax 65
4.2.2. Truncation Error, Consistency, and Order of Approximation 66
4.2.3. Other Formulas for au/ax: Evaluation of the Order of Approximation 69
4.2.4. Schemes of Higher Order for First Derivative 71
4.2.5. Higher-Order Derivatives 71
4.2.6. Mixed Derivatives 73
4.2.7. Finite Difference Approximation on Nonuniform Grids 74
4.3. Development of Finite Difference Schemes 77
4.3.1. Taylor Series Expansions 77
4.3.2. Polynomial Fitting 79
4.3.3. Development on Nonuniform Grids 80
4.4. Finite Difference Approximation of Partial Differential Equations 81
4.4.1. Approach and Examples 81
4.4.2. Boundary and Initial Conditions 85
4.4.3. Difference Molecule and Difference Equation 87
4.4.4. System of Difference Equations 88
4.4.5. Implicit and Explicit Methods 89
4.4.6. Consistency of Numerical Approximation 91
4.4.7. Interpretation of Truncation Error: Numerical Dissipation and Dispersion 92
4.4.8. Methods of Interpolation for Finite Difference Schemes 95
Bibliography 98
Problems 98
5 Finite Volume Schemes 103
5.1. Introduction and General Formulation 103
5.1.1. Introduction 103
5.1.2. Finite Volume Grid 105
5.1.3. Consistency, Local, and Global Conservation Property 107
5.2. Approximation of Integrals 109
5.2.1. Volume Integrals 109
5.2.2. Surfac
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Fertigungstechnik |
| Genre: | Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: | 384 S. |
| ISBN-13: | 9781119474623 |
| ISBN-10: | 1119474620 |
| Sprache: | Englisch |
| Herstellernummer: | 1W119474620 |
| Autor: | Zikanov, Oleg |
| Auflage: | 2. Aufl. |
| Hersteller: |
Wiley
Wiley & Sons |
| Maße: | 233 x 159 x 21 mm |
| Von/Mit: | Oleg Zikanov |
| Erscheinungsdatum: | 27.09.2019 |
| Gewicht: | 0,744 kg |
About the Companion Website xxi
1 What is CFD? 1
1.1. Introduction 1
1.2. Brief History of CFD 4
1.3. Outline of the Book 5
Bibliography 7
I Fundamentals 9
2 Governing Equations of Fluid Dynamics and Heat Transfer 11
2.1. Preliminary Concepts 11
2.2. Conservation Laws 14
2.2.1. Conservation of Mass 15
2.2.2. Conservation of Chemical Species 15
2.2.3. Conservation of Momentum 16
2.2.4. Conservation of Energy 20
2.3. Equation of State 21
2.4. Equations of Integral Form 22
2.5. Equations in Conservation Form 25
2.6. Equations in Vector Form 26
2.7. Boundary Conditions 27
2.7.1. Rigid Wall Boundary Conditions 28
2.7.2. Inlet and Exit Boundary Conditions 29
2.7.3. Other Boundary Conditions 30
2.8. Dimensionality and Time Dependence 31
2.8.1. Two- and One-Dimensional Problems 32
2.8.2. Equilibrium and Marching Problems 33
Bibliography 34
Problems 34
3 Partial Different Equations 37
3.1. Model Equations: Formulation of a PDE Problem 38
3.1.1. Model Equations 38
3.1.2. Domain, Boundary and Initial Conditions, and Well-Posed PDE Problem 40
3.1.3. Examples 42
3.2. Mathematical Classification of PDEs of Second Order 45
3.2.1. Classification 45
3.2.2. Hyperbolic Equations 48
3.2.3. Parabolic Equations 50
3.2.4. Elliptic Equations 52
3.2.5. Classification of Full Fluid Flow and Heat Transfer Equations 52
3.3. Numerical Discretization: Different Kinds of CFD 53
3.3.1. Spectral Methods 54
3.3.2. Finite Element Methods 56
3.3.3. Finite Difference and Finite Volume Methods 56
Bibliography 59
Problems 59
4 Finite Difference Method 63
4.1. Computational Grid 63
4.1.1. Time Discretization 63
4.1.2. Space Discretization 64
4.2. Finite Difference Approximation 65
4.2.1. Approximation of au/ax 65
4.2.2. Truncation Error, Consistency, and Order of Approximation 66
4.2.3. Other Formulas for au/ax: Evaluation of the Order of Approximation 69
4.2.4. Schemes of Higher Order for First Derivative 71
4.2.5. Higher-Order Derivatives 71
4.2.6. Mixed Derivatives 73
4.2.7. Finite Difference Approximation on Nonuniform Grids 74
4.3. Development of Finite Difference Schemes 77
4.3.1. Taylor Series Expansions 77
4.3.2. Polynomial Fitting 79
4.3.3. Development on Nonuniform Grids 80
4.4. Finite Difference Approximation of Partial Differential Equations 81
4.4.1. Approach and Examples 81
4.4.2. Boundary and Initial Conditions 85
4.4.3. Difference Molecule and Difference Equation 87
4.4.4. System of Difference Equations 88
4.4.5. Implicit and Explicit Methods 89
4.4.6. Consistency of Numerical Approximation 91
4.4.7. Interpretation of Truncation Error: Numerical Dissipation and Dispersion 92
4.4.8. Methods of Interpolation for Finite Difference Schemes 95
Bibliography 98
Problems 98
5 Finite Volume Schemes 103
5.1. Introduction and General Formulation 103
5.1.1. Introduction 103
5.1.2. Finite Volume Grid 105
5.1.3. Consistency, Local, and Global Conservation Property 107
5.2. Approximation of Integrals 109
5.2.1. Volume Integrals 109
5.2.2. Surfac
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Fertigungstechnik |
| Genre: | Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: | 384 S. |
| ISBN-13: | 9781119474623 |
| ISBN-10: | 1119474620 |
| Sprache: | Englisch |
| Herstellernummer: | 1W119474620 |
| Autor: | Zikanov, Oleg |
| Auflage: | 2. Aufl. |
| Hersteller: |
Wiley
Wiley & Sons |
| Maße: | 233 x 159 x 21 mm |
| Von/Mit: | Oleg Zikanov |
| Erscheinungsdatum: | 27.09.2019 |
| Gewicht: | 0,744 kg |
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