Weitere Informationen zum ausgewählten Kolloquiumsvortrag:

Numerical Analysis of Implicitly Constituted Incompressible Flow

Dr. Pablo Alexei Gazca Orozco

Montag, 2021-01-18 08:30Uhr

In the classical theory of fluid mechanics a linear relationship between the shear stress tensor and the symmetric velocity gradient is often assumed. Even when a nonlinear relationship is assumed between the shear stress and the symmetric velocity gradient, it is typically formulated in terms of an explicit relation. Implicit constitutive models provide a theoretical framework that generalises this, allowing for an implicit constitutive relation. In this talk, I will present some results dealing with the finite element approximation of implicitly constituted incompressible flow, ranging from convergence aspects to fast solvers. In particular, I will introduce a preconditioner based on augmented Lagrangian stabilisation and a specialised multigrid algorithm that exhibits robust behaviour even for models incorporating thermal effects.