Advanced Numerical Methods and Simulation
Syllabus
The course covers several numerical methods to solve time-dependent partial differential equations using finite elements and stabilisation. Advanced methods for turbulence modeling, multiphase flows, complex fluid flows and aerothermal modelling of complex systems will be given. Finally, the course will be completed by error estimation needed for anisotropic mesh adaptation.
Schedule
Times: AM 09:15-12, PM 13:30-16:30
Location: Room I/E102 or I/E201b.
Schedule to be finalized!
| Week 02 | Location | |
| 06. January | I/E201B | A. Larcher: “Numerical Solution of PDEs with Finite Element Methods” (AM+PM) |
| 08. January | I/E102 | A. Larcher “Mixed Finite Element Methods for the Stokes problem” (AM) E. Hachem “Stabilized FEM for time dependent Navier-Stokes and Convection Diffusion Reaction equations” (PM) |
| Week 03 | ||
| 13. January | I/E201B | R. Valette “Some models and resolution methods for complex fluids flows” (AM) E. Hachem “Turbulence modeling methods for high Reynolds number flows” (PM) |
| 15. January | I/E102 | TBA M. Bernacki “The Level-set method” (PM) |
| Week 04 | ||
| 20. January | I/E201B | P. Meliga “Hydrodynamic instabilities and the route to chaos” (AM) A. Pereira “Soft matter in flow” (PM) |
| 22. January | I/E102 | F. Pigeonneau “Natural convection in a square cavity: Scaling and numerical analysis” (AM+PM) |
| Week 05 | ||
| 27. January | I/E201B | T. Coupez “Anisotropic mesh adaptation” (AM) |