14 citations · 19 across the 8 of their papers we have counts for
6 papers · 1 filter
The fast-sorption--fast-surface-reaction limit of a heterogeneous catalysis model
Björn Augner, Dieter Bothe
Every mathematical model describing physical phenomena is an approximation to model reality, hence has its limitations. Depending on characteristic values of the variables in the m…
Boundary conditions for dynamic wetting -- A mathematical analysis
Mathis Fricke, Dieter Bothe
The moving contact line paradox discussed in the famous paper by Huh and Scriven has lead to an extensive scientific discussion about singularities in continuum mechanical models o…
Breakup Dynamics of Capillary Bridges on Hydrophobic Stripes
Maximilian Hartmann, Mathis Fricke, Lukas Weimar +4
The breakup dynamics of a capillary bridge on a hydrophobic stripe between two hydrophilic stripes is studied experimentally and numerically using direct numerical simulations. The…
Capillary Rise -- A Computational Benchmark for Wetting Processes
D. Gründing, M. Smuda, T. Antritter +6
Four different numerical approaches are compared for the rise of liquid between two parallel plates. These are an Arbitrary Lagrangian-Eulerian method (OpenFOAM solver interTrackFo…
Contact line advection using the geometrical Volume-of-Fluid method
Mathis Fricke, Tomislav Marić, Dieter Bothe
We consider the interface advection problem by a prescribed velocity field in the special case when the interface intersects the domain boundary, i.e. in the presence of a contact…
Wellposedness of the discontinuous ODE associated with two-phase flows
Dieter Bothe
We consider the initial value problem \[ \dot x (t) = v(t,x(t)) \;\mbox{ for } t\in (a,b), \;\; x(t_0)=x_0 \] which determines the pathlines of a two-phase flow, i.e.\ i…