1. Scientific Computing Lab Outlook / State of Research Dr. Miriam Mehl Institut für Informatik Scientific Computing in Computer Science

2. Grids – Regular Grids 2D complicated geometries  Lab Course CFD

3. Grids – Adaptive Grids

4. Grids – Unstructured Grids source: http://aaac.larc.nasa.gov/tsab/tetruss/Applications/F16/file-1.color.jpg grid generation  Scientific Computing I

5. More Grids triangular/tetrahedral grids: regular structured adaptive block structured mixed structured/unstructured …

6. Data Structures i j k data[k][j][i]

7. Data Structures

8.  projects / master thesis

9. Data Structures tetraheder 1tetraheder 2tetraheder 3 face 1face 2face 3face 4face 5 ….. edge 1 edge 2 edge 3 edge 4 ….. vertex 1vertex 2vertex 3 data …..

10. Discretisation – Finite Differences x x+h x-h

11. Discretisation – Finite Volumes V

12. Discretisation – Finite Elements  Scientific Computing I

13. Discretisation – Finite Elements physically correct basis, FE on adaptive grids  projects, master thesis

14. Solvers – Adaptive Multigrid  projects, master thesiscc

15. Solvers – Full Multigrid

16. Solvers – Krylov Methods solution of PDEs -> minimisation  Scientific Computing II

17. Solvers – Preconditioning  Scientific Computing II

18. Implementation/Parallelisation  Lab Course CFD  Parallel Numerics  projects, master thesis

19. Nonlinear PDEs / Systems of PDEs Navier-Stokes Solver  Lab Course CFD  projects, master thesis Newtons Method  Numerical Analysis I

20. Multiphysics example: fluid-structure interactions

21. Multiphysics Fluid Solver Structure Solver job/data data job/data data Coupling  projects, master thesis

22. Other Models Molecular Dynamics  Scientific Computing II