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 09-12, PM 13:30-16:30
Location: Room I/E102 or I/E201b.
Week 02 | Location | |
07. January | I/E201B | A. Larcher & E. Hachem “Numerical Solution of PDEs with Finite Element Methods” (9:30-12:00 AM+PM) |
09. January | I/E102 | A. Larcher & E. Hachem “Numerical Solution of incompressible flow with Finite Element Methods” (9:30-12:00AM+PM) |
Week 03 | ||
14. January | I/E201B | R. Valette “Some models and resolution methods for complex fluids flows” (AM+PM) |
16. January | I/E102 | J. Viquerat “Coupling machine learning with CFD” (AM) M. Bernacki “The Level-set method” (PM) |
Week 04 | ||
21. January | I/E201B | P. Meliga “Hydrodynamic instabilities and the route to chaos” (AM) A. Pereira “Soft matter in flow” (PM) |
23. January | I/E201B | A. Rbah “Introduction to Fluid-Structure Interaction” (PM) |
Week 05 | ||
28. January | I/E102 | F. Pigeonneau “Natural convection in a square cavity: Scaling and numerical analysis” (AM+PM) Lecture + Lab |
30. January | I/E201B | T. Coupez “Anisotropic mesh adaptation” (AM) |