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• Cover
• Dedication
• Preface
• About the Companion Website
• Chapter 1: What Is CFD?
• 1.1 Introduction
• 1.2 Brief History of CFD
• 1.3 Outline of the Book
• Bibliography
• Part I: Fundamentals
• Chapter 2: Governing Equations of Fluid Dynamics and Heat Transfer
• 2.1 Preliminary Concepts
• 2.2 Conservation Laws
• 2.3 Equation of State
• 2.4 Equations of Integral Form
• 2.5 Equations in Conservation Form
• 2.6 Equations in Vector Form
• 2.7 Boundary Conditions
• 2.8 Dimensionality and Time Dependence
• Bibliography
• Problems
• Chapter 3: Partial Different Equations
• 3.1 Model Equations: Formulation of a PDE Problem
• 3.2 Mathematical Classification of PDEs of Second Order
• 3.3 Numerical Discretization: Different Kinds of CFD
• Bibliography
• Chapter 4: Finite Difference Method
• 4.1 Computational Grid
• 4.2 Finite Difference Approximation
• 4.3 Development of Finite Difference Schemes
• 4.4 Finite Difference Approximation of Partial Differential Equations
• Bibliography
• Chapter 5: Finite Volume Schemes
• 5.1 Introduction and General Formulation
• 5.2 Approximation of Integrals
• 5.3 Methods of Interpolation
• 5.4 Finite Volume Method on Unstructured Grids
• 5.5 Implementation of Boundary Conditions
• Bibliography
• Problems
• Chapter 6: Numerical Stability for Marching Problems
• 6.1 Introduction and Definition of Stability
• 6.2 Stability Analysis
• 6.3 Implicit Versus Explicit Schemes – Stability and Efficiency Considerations
• Bibliography
• Problems
• Part I: Methods
• Chapter 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
• 7.5 Solution of Tridiagonal Systems by Thomas Algorithm
• Bibliography
• Problems
• Chapter 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
• 8.5 Computational Performance
• Bibliography
• Chapter 9: Unsteady Compressible Fluid Flows and Conduction Heat Transfer
• 9.1 Introduction
• 9.2 Compressible Flows
• 9.3 Unsteady Conduction Heat Transfer
• Bibliography
• Problems
• Chapter 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
• Bibliography
• Problems
• Part III: ART of CFD
• Chapter 11: Turbulence
• 11.1 Introduction
• 11.2 Direct Numerical Simulation (DNS)
• 11.3 Reynolds‐Averaged Navier–Stokes (RANS) Models
• 11.4 Large Eddy Simulation (LES)
• Bibliography
• Problems
• Chapter 12: Computational Grids
• 12.1 Introduction: Need for Irregular and Unstructured Grids
• 12.2 Irregular Structured Grids
• 12.3 Unstructured Grids
• 12.4 Adaptive Grids
• Bibliography
• Problems
• Chapter 13: Conducting CFD Analysis
• 13.1 Overview: Setting and Solving a CFD Problem
• 13.2 Errors and Uncertainty
• Bibliography
• Problems
• Index
• End User License Agreement