OBJECT-ORIENTED PROGRAMMING

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Table of contents

INTRODUCTION 
CHAPTER 1 GOVERNING EQUATIONS 
1.1 Introduction
1.2 Conservative form in conservative variables
1.3 Dimensionless form
1.4 Vectorial form
1.5 Weak formulation
1.6 Spatial discretization
1.7 Time discretization
1.8 SUPG stabilization
1.9 Shock capturing
1.10 Initial conditions and boundary conditions
1.11 Elemental matrices
1.12 Elemental residual
1.13 The standard Spalart-Allmaras turbulence model
1.14 Coupled Navier-Stokes Spalart-Allmaras model
1.15 Solution algorithms
1.15.1 Solution to the Navier-Stokes equations
1.15.2 Newton-Raphson method for the equation of turbulent viscosity
1.15.3 Calculation of the tangent matrix for turbulence
1.15.4 Preconditioning
1.15.5 Additive Schwarz
1.15.6 Parallel GMRES
CHAPTER 2 DIFFERENT ELEMENTS 
2.1 Discretization
2.2 Shape function
2.3 Numerical integration
2.4 The two-node line element
2.5 The eight-node hexahedron element
2.6 The four-node tetra element
2.7 The six-node prism element
2.8 The five-node pyramid element
CHAPTER 3 OBJECT-ORIENTED PROGRAMMING 
3.1 Object-Oriented programming
3.2 Object-oriented programming in calculating elemental matrix and residual
3.3 Comparison with the flow-based programming
CHAPTER 4 NUMERICAL RESULTS 
4.1 Introduction
4.2 NACA0012
4.3 DLR F11 model
CONCLUSION