Seminarreihe "structure preserving numerical methods for hyperbolic equations" im Oberseminar Mathematische Strömungsmechanik: Christiane Helzel

This talk is part of the seminar series "structure preserving numerical methods for hyperbolic equations", click here for more details 

Abstract:

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 klingen@mathematik.uni-wuerzburg.de)