Seminarreihe "structure preserving numerical methods for hyperbolic equations" im Oberseminar Mathematische Strömungsmechanik: Christiane Helzel
A Numerical Approach for a Coupled System Describing Sedimentation in Suspensions of Rod-Like Particles
|Datum:||21.05.2021, 15:00 - 16:00 Uhr|
This talk is part of the seminar series "structure preserving numerical methods for hyperbolic equations", click here for more details
We study concepts for an efficient numerical approximation of the sedimentation process in suspensions of rod-like particles. The starting point of our considerations is a coupled system of partial differential equations consisting of a kinetic equation for the rod orientation which is coupled to a macroscopic flow equation. It describes the motion of a suspension of rigid rod-like particles under the influence of gravity.
Since the coupled system is high dimensional (five spatial dimensions + time) we are interested in a derivation of simpler systems which describe the dynamics observed in experimental studies without resolving all the details of the full multi-scale model. In order to do this we derive a hierarchy of moment equations and show that the system of moment equations can be interpreted as a numerical approximation of the full model.
This is joint work with Athanasios E. Tzavaras (KAUST) and Sina Dahm (HHU).
via Zoom video conference (request the Zoom link from firstname.lastname@example.org)