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 estimator needed for anisotropic parallel mesh adaptation.
Schedule
Location: Room IE102 / Zoom sessions will be communicated 48h before each lecture.
| Week 3 | |
| 14. January 09:30-12:30 | A. Larcher “The Finite Element Method: theory and practice” |
| Week 4 | |
| 19. January 09:00-12:00 | E. Hachem “Stabilized finite elements for the convection–diffusion–reaction equation” |
| 21. January 09:00-12:00 | E. Hachem “Finite element methods for the Navier–Stokes equations” |
| Week 5 | |
| 26. January 09:30-12:30 | P. Meliga “Hydrodynamic instabilities and the route to chaos” |
| 28. January 09:00-12:00 | J. Viquerat “Coupling machine learning with CFD” |
| TBA | J. Bec “The physics of turbulence” |
| Week 6 | |
| 02. February 09:00-12:00 | R. Valette “Some models and resolution methods for complex fluids flows” |
| 04. February 09:00-12:00 | F. Pigeonneau “Natural convection in a square cavity: Scaling and numerical analysis” |
| TBA | T. Coupez “Anisotropic mesh adaptation” |