Provides a clear, concise, and self-contained introduction to Computational Fluid Dynamics (CFD)
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.
Table of Contents:
Preface xvii
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
I Fundamentals 9
2 Governing Equations of Fluid Dynamics and Heat Transfer 11
2.1. Preliminary Concepts 11
2.2. Conservation Laws 14
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
2.8. Dimensionality and Time Dependence 31
3 Partial Different Equations 37
3.1. Model Equations: Formulation of a PDE Problem 38
3.2. Mathematical Classification of PDEs of Second Order 45
3.3. Numerical Discretization: Different Kinds of CFD 53
4 Finite Difference Method 63
4.1. Computational Grid 63
4.2. Finite Difference Approximation 65
4.3. Development of Finite Difference Schemes 77
4.4. Finite Difference Approximation of Partial Differential Equations 81
5 Finite Volume Schemes 103
5.1. Introduction and General Formulation 103
5.2. Approximation of Integrals 109
5.3. Methods of Interpolation 112
5.4. Finite Volume Method on Unstructured Grids 119
5.5. Implementation of Boundary Conditions 122
6 Numerical Stability for Marching Problems 127
6.1. Introduction and Definition of Stability 127
6.2. Stability Analysis 132
6.3. Implicit Versus Explicit Schemes – Stability and Efficiency Considerations 142
II Methods 147
7 Application to Model Equations 149
7.1. Linear Convection Equation 150
7.2. One-Dimensional Heat Equation 157
7.3. Burgers and Generic Transport Equations 161
7.4. Method of Lines 162
7.5. Solution of Tridiagonal Systems by Thomas Algorithm 165
8 Steady-State Problems 173
8.1. Problems Reducible to Matrix Equations 173
8.2. Direct Methods 180
8.3. Iterative Methods 186
8.4. Systems of Nonlinear Equations 197
8.5. Computational Performance 202
9 Unsteady Compressible Fluid Flows and Conduction Heat Transfer 207
9.1. Introduction 207
9.2. Compressible Flows 208
9.3. Unsteady Conduction Heat Transfer 223
10 Incompressible Flows 233
10.1. General Considerations 233
10.2. Discretization Approach 236
10.3. Projection Method for Unsteady Flows 243
10.4. Projection Methods for Steady-State Flows 250
10.5. Other Methods 257
III Art of CFD 265
11 Turbulence 267
11.1. Introduction 267
11.2. Direct Numerical Simulation (DNS) 275
11.3. Reynolds-Averaged Navier–Stokes (RANS) Models 279
11.4. Large Eddy Simulation (LES) 297
12 Computational Grids 313
12.1. Introduction: Need for Irregular and Unstructured Grids 313
12.2. Irregular Structured Grids 316
12.3. Unstructured Grids 322
12.4. Adaptive Grids 329
13 Conducting CFD Analysis 335
13.1. Overview: Setting and Solving a CFD Problem 335
13.2. Errors and Uncertainty 339
Bibliography 349
Problems 349
Index 351
About the Author :
OLEG ZIKANOV, PHD, is a Professor of Mechanical Engineering at the University of Michigan-Dearborn, MI, USA. His teaching activities are in the area of thermal–fluid sciences with focus on CFD, fluid dynamics, and energy technologies. He is an active researcher in the field of computational analysis of fluid flow phenomena.
