Veit Krause: A numerical approach for fluid deformable surfaces with conserved enclosed volume

Vortragender/Speaker: Veit Krause (Institute of Scientific Computing)
Ansprechpartner/Contact: Dr. Simon Praetorius

Titel/Title:
A numerical approach for fluid deformable surfaces with conserved enclosed volume.

Zusammenfassung/Abstract:
We consider surface finite elements and a semi-implicit time stepping scheme to simulate fluid deformable surfaces. Such surfaces are modeled by incompressible surface Navier-Stokes equations with bending forces. We here consider closed surfaces and enforce conservation of the enclosed volume. The numerical approach builds on higher order surface parameterizations, a Taylor-Hood element for the surface Navier-Stokes part, appropriate approximations of the geometric quantities of the surface and a Lagrange multiplier for the constraint. The considered computational examples highlight the solid-fluid duality of fluid deformable surfaces and demonstrate convergence properties, partly known to be optimal for different sub-problems.