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PART ONE. PRELIMINARIES
1 Introduction
2 Governing Equations
PART TWO. FINITE DIFFERENCE METHODS
3 Derivation of Finite Difference Equations
4 Solution Methods of Finite Difference Equations
5 Incompressible Viscous Flows via Finite Difference Methods
6 Compressible Flows via Finite Difference Methods
7 Finite Volume Methods via Finite Difference Methods
PART THREE. FINITE ELEMENT METHODS
8 Introduction to Finite Element Methods
9 Finite Element Interpolation Functions
10 Linear Problems
11 Nonlinear Problems/Convection-Dominated Flows
12 Incompressible Viscous Flows via Finite Element Methods
13 Compressible Flows via Finite Element Methods
14 Miscellaneous Weighted Residual Methods
15 Finite Volume Methods via Finite Element Methods
16 Relationships between Finite Differences and Finite Elements and Other Methods
PART FOUR. AUTOMATIC GRID GENERATION, ADAPTIVE METHODS, AND COMPUTING TECHNIQUES
17 Structured Grid Generation
18 Unstructured Grid Generation
19 Adaptive Methods
20 Computing Techniques
PART FIVE. APPLICATIONS
21 Applications to Turbulence
22 Applications to Chemically Reactive Flows and Combustion
23 Applications to Acoustics
24 Applications to Combined Mode Radiative Heat Transfer
25 Applications to Multiphase Flows
26 Applications to Electromagnetic Flows
27 Applications to Relativistic Astrophysical Flows
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COMPUTATIONAL FLUID DYNAMICS
T.J. CHUNG
T.J. CHUNG
Table of Contents
1 Introduction
2 Governing Equations
PART TWO. FINITE DIFFERENCE METHODS
3 Derivation of Finite Difference Equations
4 Solution Methods of Finite Difference Equations
5 Incompressible Viscous Flows via Finite Difference Methods
6 Compressible Flows via Finite Difference Methods
7 Finite Volume Methods via Finite Difference Methods
PART THREE. FINITE ELEMENT METHODS
8 Introduction to Finite Element Methods
9 Finite Element Interpolation Functions
10 Linear Problems
11 Nonlinear Problems/Convection-Dominated Flows
12 Incompressible Viscous Flows via Finite Element Methods
13 Compressible Flows via Finite Element Methods
14 Miscellaneous Weighted Residual Methods
15 Finite Volume Methods via Finite Element Methods
16 Relationships between Finite Differences and Finite Elements and Other Methods
PART FOUR. AUTOMATIC GRID GENERATION, ADAPTIVE METHODS, AND COMPUTING TECHNIQUES
17 Structured Grid Generation
18 Unstructured Grid Generation
19 Adaptive Methods
20 Computing Techniques
PART FIVE. APPLICATIONS
21 Applications to Turbulence
22 Applications to Chemically Reactive Flows and Combustion
23 Applications to Acoustics
24 Applications to Combined Mode Radiative Heat Transfer
25 Applications to Multiphase Flows
26 Applications to Electromagnetic Flows
27 Applications to Relativistic Astrophysical Flows
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