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
Times: AM 10-12, PM 13:30-15:30
Location: Room I/E102 or I/E201b – Zoom sessions will be communicated 24h before each lecture.
| Week 02 | Location | |
| 11. January | I/E102 | A. Larcher “The Finite Element Method: theory and practice” (AM+PM) |
| 12. January | I/E102 | E. Hachem “Stabilized finite elements for the convection–diffusion–reaction equation” (AM+PM) |
| Week 03 | ||
| 18. January | I/E102 | E. Hachem “Finite element methods for the Navier–Stokes equations” (AM+PM) |
| 20. January | I/E102 | T. Coupez “Anisotropic mesh adaptation” (AM) J. Viquerat “Coupling machine learning with CFD” (PM) |
| Week 04 | ||
| 25. January | I/E102 | P. Meliga “Hydrodynamic instabilities and the route to chaos” (AM+PM) |
| 27. January | I/E102 | J. Bec “The physics of turbulence” (AM+PM) |
| Week 05 | ||
| 01. February | I/R015 | R. Valette “Some models and resolution methods for complex fluids flows” (AM+PM) |
| 02. February | I/E201b | F. Pigeonneau “Natural convection in a square cavity: Scaling and numerical analysis” (AM+PM) |