Inhalt
Titel
Acknowledgement
Contents
| 1 | Introduction | 1 |
| 2 | Mathematical Models | 3 |
| 2.1 | Generic Form of Partial Differential Equations | |
| 2.2 | Compressible Navier-Stokes Equations | |
| 3 | Numerical Techniques | 7 |
| 3.1 | Grid Structure | |
| 3.2 | Finite Volume Discretization | |
| 3.3 | Time Integration | |
| 3.4 | Flux Formulations for Compressible Flow | |
| 4 | Mesh Generation | 35 |
| 4.1 | Generation of Unstructered Simplex Grids | |
| 4.2 | Mesh Generation based upon Level-Sets | |
| 4.3 | Isotropic Mesh Generation | |
| 4.4 | Creation of Quad-Layers | |
| 4.5 | Different Input Types | |
| 4.6 | Movings Boundaries | |
| 5 | Multi-Grid on Unstructered Grids | 53 |
| 5.1 | Basic Idea of Multi-Grid Methods | |
| 5.2 | Linear Mult-Grid | |
| 5.3 | The FAS method | |
| 5.4 | Contruction of Mesh Sequences | |
| 5.5 | Higher Order Spatial Discretization | |
| 5.6 | Boundary Conditions | |
| 5.7 | Inter-Grid Operators | |
| 5.8 | Impact of the Agglomeration Quality on the Convergence | |
| 6 | Object-Oriented Techniques and Numerics | 71 |
| 6.1 | Brief Introduction | |
| 6.2 | Classes and Inheritance | |
| 6.3 | Encapsulation | |
| 6.4 | Polymorphism | |
| 6.5 | A Simple Numerical Example | |
| 7 | Design of an OO/FV Library | 83 |
| 7.1 | General Concepts | |
| 7.2 | Implementation of New Control-Commands | |
| 7.3 | Implementation of New Numerical Operators | |
| 8 | Numerical Experiments | 111 |
| 8.1 | Lid Driven Cavity Flow (2D) | |
| 8.2 | Two-Dimensional Flow Around Aifoils | |
| 8.3 | Inviscid, Transsonic Flow Past an ONERA-M6 Wing | |
| 9 | Conclusions and Perspectives | 125 |
| 9.1 | Summary | |
| 9.2 | Critical Review of Design Criteria | |
| 9.3 | Maintainability | |
| 9.4 | Projects Using the Software | |
| 9.5 | Future Perspectives | |
| A | Notation and Mathematical Symbols | 131 |
| A.1 | Notation | |
| A.2 | Symbols | |
| B | Gradients | 137 |
| C | Consistency on Triangular Grids | 141 |
| Bibliography | 145 |