Low-order divergence free finite element method in fluid mechanics

Jeudi 19 mars 15:45-16:45 - Gabriel Barrenechea - University of Strathclyde (Écosse)

Résumé : In this talk I will review results on a divergence-free reconstruction
of the lowest order pair for the Navier-Stokes equation. More precisely,
from a stabilised P1xP0 scheme, a divergence-free velocity field is built
as the result of a lift of the pressure jumps, and it is then incorporated in the
convective term of the momentum equation. This process provides a
method that can be proven stable without the need to suppose the mesh
refined enough.
This idea is applied to problems in Newtonian and non-Newtonian
fluid mechanics. In particular, we approximate a generalised
Boussinesq system, and a steady Non-Newtonian flow.

Lieu : IMO, Salle 3L8

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