activity
20142020
most citedSolving the incompressible surface Navier-Stokes equation by surface finite elements

75 citations · 189 across the 6 of their papers we have counts for

collaborators

8 papers

physics.comp-ph2020★ 42 cited

A numerical approach for fluid deformable surfaces

Sebastian Reuther, Ingo Nitschke, Axel Voigt

Fluid deformable surfaces show a solid-fluid duality which establishes a tight interplay between tangential flow and surface deformation. We derive the governing equations as a thi…

cond-mat.soft2020

Defects in active nematics: algorithms for identification and tracking

Dennis Wenzel, Michael Nestler, Sebastian Reuther +2

The growing interest in active nematics and the emerging evidence of the relevance of topological defects in biology asks for reliable data analysis tools to identify, classify and…

cond-mat.soft2019★ 28 cited

Liquid Crystals on Deformable Surfaces

Ingo Nitschke, Sebastian Reuther, Axel Voigt

Liquid crystals with molecules constrained to the tangent bundle of a curved surface show interesting phenomena resulting from the tight coupling of the elastic and bulk free energ…

cond-mat.soft2019

Comment on Geometrical Control of Active Turbulence in Curved Topographies

Ingo Nitschke, Sebastian Reuther, Axel Voigt

In the recent letter Pearce et. al. Phys. Rev. Lett. 122, 168002 (2019) the authors investigate the turbulent dynamics of a two-dimensional active nematic liquid crystal which is c…

physics.comp-ph2018★ 3 cited

Hydrodynamic interactions in polar liquid crystals on evolving surfaces

Ingo Nitschke, Sebastian Reuther, Axel Voigt

We consider the derivation and numerical solution of the flow of passive and active polar liquid crystals, whose molecular orientation is subjected to a tangential anchoring on an…

math.NA2017★ 75 cited

Solving the incompressible surface Navier-Stokes equation by surface finite elements

Sebastian Reuther, Axel Voigt

We consider a numerical approach for the incompressible surface Navier-Stokes equation on surfaces with arbitrary genus . The approach is based on a reformulation o…

math.NA2016★ 41 cited

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…

physics.flu-dyn2014

The interplay of curvature and vortices in flow on curved surfaces

Sebastian Reuther, Axel Voigt

Incompressible fluids on curved surfaces are considered with respect to the interplay between topology, geometry and fluid properties using a surface vorticity-stream function form…