Event
On the role of the Helmholtz-Leray projector for a novel pressure-robust discretization theory for the incompressible Navier-Stokes equations| Title of the event | On the role of the Helmholtz-Leray projector for a novel pressure-robust discretization theory for the incompressible Navier-Stokes equations |
| Series | Kolloquium über Angewandte Mathematik |
| Organizer | Institut für Numerische und Angewandte Mathematik, Lotzestr. 16-18, 37083 Göttingen |
| Speaker | Dr. Alexander Linke |
| Speaker institution | WIAS Berlin |
| Type of event | Kolloquium |
| Category | Forschung |
| Registration required | Nein |
| Details | The talk discusses several physical regimes of the incompressible Navier--Stokes equations with respect to the role of the pressure and the role of the Helmholtz--Leray projector in the Navier--Stokes momentum balance. It is emphasized that not the forces in the momentum balance themselves matter for the complexity of the flow field, but their Helmholtz--Leray projector. Since the Helmholtz--Leray projector vanishes for arbitrary gradient fields, a semi norm and a corresponding equivalence class of forces play naturally a major role for the evolution of incompressible flows. Novel pressure-robust mixed methods are designed for an appropriate discrete treatment of this equivalence class of forces. On the contrary, classical mixed methods do not care about the existence of such an equivalence class of forces. In order to deliver accurate simulation results, they have to apply needlessly high-order approximation algorithms leading to less efficient algorithms. Finally, the talk will indicate suitable applications for efficient and accurate low-order pressure-robust mixed methods like flows with electrolytes, flows with stagnation points and flows with a dominant Coriolis force. |
| Date | Start: 23.01.2018, 17:15 Uhr Ende: 23.01.2018 , 18:15 Uhr |
| Location |
Institut für Numerische und Angewandte Mathematik (Lotzestraße 16-18) NAM-Seminarraum (MN 55), 1 OG, |
| Contact |
0551-394512 trapp@math.uni-goettingen.de |
| File attachment | koll-einladung-230118.pdf |