55 citations · 251 across the 19 of their papers we have counts for
4 papers · 1 filter
Derivation and simulation of a two-phase fluid deformable surface model
Elena Bachini, Veit Krause, Ingo Nitschke +1
We consider two-phase fluid deformable surfaces as model systems for biomembranes. Such surfaces are modeled by incompressible surface Navier-Stokes-Cahn-Hilliard-like equations wi…
A finite element approach for vector- and tensor-valued surface PDEs
Michael Nestler, Ingo Nitschke, Axel Voigt
We derive a Cartesian componentwise description of the covariant derivative of tangential tensor fields of any degree on general manifolds. This allows to reformulate any vector- a…
Discrete exterior calculus (DEC) for the surface Navier-Stokes equation
Ingo Nitschke, Sebastian Reuther, Axel Voigt
We consider a numerical approach for the incompressible surface Navier-Stokes equation. The approach is based on the covariant form and uses discrete exterior calculus (DEC) in spa…
Orientational order on surfaces - the coupling of topology, geometry, and dynamics
Michael Nestler, Ingo Nitschke, Simon Praetorius +1
We consider the numerical investigation of surface bound orientational order using unit tangential vector fields by means of a gradient-flow equation of a weak surface Frank-Oseen…