Essential Computational Fluid Dynamics

The essential introductory guide to computational fluid dynamics
As modern advancements continue to generate growth in computer power, and as new, more accurate and effective numerical techniques are developed, computational fluid dynamics is emerging as a primary method for analyzing fluid flows and heat transfer. CFD is used in many areas, such as astrophysics, weather prediction, and biomedical research, but mainly in engineering, where it has become an everyday tool of design and optimization. Essential Computational Fluid Dynamics shows why it is imperative for newcomers in this field as well as for experienced engineers to understand the basics of CFD analysis in order to apply available CFD software correctly and efficiently. This indispensable companion:
Introduces computational fluid dynamics to undergraduate and graduate students, as well as to working professionals in the areas of practical applications of CFD, such as mechanical, civil, chemical, or environmental engineering
Focuses on the needs of someone who wants to apply the CFD software and understand how it works, rather than develop new codes
Covers all the major topics, from the basics of discretization to turbulence modeling and uncertainty analysis
Discusses complex issues using simple examples and rein–forces learning with problems
With expert guidance and a wealth of useful techniques, this book offers a clear, concise, and accessible account of the essentials needed to conduct and interpret a CFD analysis.

Spis treści:
PREFACE.
1 What Is CFD?
1.1. Introduction.
1.2. Brief History of CFD.
1.3. Outline of the Book.
References and Suggested Reading.
I Fundamentals.
2 Governing Equations of Fluid Dynamics and Heat Transfer.
2.1. Preliminary Concepts.
2.2. Mass Conservation.
2.3. Conservation of Chemical Species.
2.4. Conservation of Momentum.
2.5. Conserv ation of Energy.
2.6. Equation of State.
2.7. Equations in Integral Form.
2.8. Equations in Conservation Form.
2.9. Equations in Vector Form.
2.10. Boundary Conditions.
References and Suggested Reading.
Problems.
3 Partial Differential Equations.
3.1. Model Equations; Formulation of a PDE Problem.
3.2. Mathematical Classification of PDE of Second Order.
3.3. Numerical Discretization: Different Kinds of CFD.
References and Suggested Reading.
Problems.
4 Basics of Finite Difference Approximation.
4.1. Computational Grid.
4.2. Finite Differences and Interpolation.
4.3. Approximation of Partial Differential Equations.
4.4. Development of Finite Difference Schemes.
References and Suggested Reading.
Problems.
5 Finite Volume Method.
5.1. Introduction and Integral Formulation.
5.2. Approximation of Integrals.
5.3. Methods of Interpolation.
5.4. Boundary Conditions.
References and Suggested Reading.
Problems.
6 Stability of Transient Solutions.
6.1. Introduction and Definition of Stability.
6.2. Stability Analysis.
6.3. Implicit versus Explicit Schemes–Stability and Efficiency Considerations.
References and Suggested Reading.
Problems.
7 Application to Model Equations.
7.1. Linear Convection Equation.
7.2. One–Dimensional Heat Equation.
7.3. Burgers and Generic Transport Equations.
7.4. Method of Lines Approach.
7.5. Implicit Schemes: Solution of Tridiagonal Systems by Thomas Algorithm.
References and Suggested Reading.
Problems.
II Methods.
8 Steady–State Problems.
8.1. Problems Reducible to Matrix Equations.
8.2. Direct Methods.
8.3. Iterative Methods.
8.4. Systems of Nonlinear Equations.
References and Suggested Reading.
Problems.
9 Unsteady Problems of Fluid Flows and Heat Transfer.
9.1. Introduction.
9.2. Compressible Flows.
9.3. Unsteady Conduction Heat Transfer.
References and Suggested Reading.
Problems.
10 Incompressible Flows.
10.1. General Considerations.
10.2. Discretization Approach.
10.3. Projection Method for Unsteady Flows.
10.4. Projection Methods for Steady–State Flows.
10.5. Other Methods.
References and Suggested Reading.
Problems / 223III Art of CFD.
11 Turbulence 227
11.1. Introduction.
11.2. Direct Numerical Simulation (DNS).
11.3. Reynolds–Averaged Navier–Stokes (RANS) Models.
11.4. Large–Eddy Simulation (LES).
References and Suggested Reading.
Problems.
12 Computational Grids.
12.1. Introduction: Need for Irregular and Unstructured Grids.
12.2. Irregular Structured Grids.
12.3. Unstructured Grids.
References and Suggested Reading.
Problems.
13 Conducting CFD Analysis.
13.1. Overview: Setting and Solving a CFD Problem.
13.2. Errors and Uncertainty.
13.3. Adaptive Grids.
References and Suggested Reading.
INDEX.

Nota biograficzna:
Oleg Zikanov is an Associate Professor in the Department of Mechanical Engineering at the University of Michigan–Dearborn.

Okładka tylna:
The essential introductory guide to computational fluid dynamics
As modern advancements continue to generate growth in computer power, and as new, more accurate and effective numerical techniques are developed, computational fluid dynamics is emerging as a primary method for analyzing fluid flows and heat transfer. CFD is used in many areas, such as astrophysics, weather prediction, and biomedical research, but mainly in engineering, where it has become an everyday tool of design and optimization. Essential Computational Fluid Dynamics shows why it is imperative for newcomers in this field as well as for experienced engineers to understand the basics of CFD analysis in order to apply available CFD software correctly and efficiently. This indispensable companion:
Introduces computational fluid dynamics to undergraduate and graduate students, as well as to working professionals in the areas of practical applications of CFD, such as mechanical, civil, chemical, or environmental engineering
Focuses on the needs of someone who wants to apply the CFD software and understand how it works, rather than develop new codes
Covers all the major topics, from the basics of discretization to turbulence modeling and uncertainty analysis
Discusses complex issues using simple examples and rein–forces learning with problems
With expert guidance and a wealth of useful techniques, this book offers a clear, concise, and accessible account of the essentials needed to conduct and interpret a CFD analysis.