Talk by Karel Tůma

The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place on Wednesday from 9:00 till 10:00 in the room K3. The talk will be given by Karel Tůma. Please see the details below.

Speaker: Karel Tůma
Title: Contactless rebound of elastic bodies in a viscous incompressible fluid

Abstract: We investigate the phenomenon of particle rebound in a viscous incompressible fluid environment We focus on the important case of no-slip boundary conditions, for which it is by now classical that, under certain assumptions, collisions cannot occur in finite time. In a simplified framework, we provide conditions which allow to prove that rebound is possible even in the absence of a topological contact. Our results lead to conjecture that a qualitative change in the shape of the solid is necessary for obtaining a physically meaningful rebound in fluids. We support the conjecture by comparing numerical simulations performed for the reduced model with finite element solutions obtained for corresponding well-established PDE systems describing elastic solids interacting with incompressible fluids. This is a joint work with Giovanni Gravina, Sebastian Schwarzacher and Ondřej Souček.