125 citations · 772 across the 51 of their papers we have counts for
22 papers · 1 filter
Enhanced Modeling of Back-Mixing in Chemical Reactor Networks
Lisanne Gossel, Mathis Fricke, Dieter Bothe
Chemical reactor networks (CRNs) enable simulations of combustion reactors with detailed chemical kinetics and strongly simplified flow structure. In this paper, the implementation…
An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations
Mathis Fricke, El Assad Ouro-Koura, Suraj Raju +3
The rise of a liquid column inside a thin capillary against the action of gravity is a prototypical example of a dynamic wetting process and plays an important role for application…
Numerical wetting benchmarks -- advancing the plicRDF-isoAdvector unstructured Volume-of-Fluid (VOF) method
Muhammad Hassan Asghar, Mathis Fricke, Dieter Bothe +1
The numerical simulation of wetting and dewetting of geometrically complex surfaces benefits from unstructured numerical methods because they discretize the domain with second-orde…
On the molecular mechanism behind the bubble rise velocity jump discontinuity in viscoelastic liquids
Dieter Bothe, Matthias Niethammer, Christian Pilz +1
Bubbles rising in viscoelastic liquids may exhibit a jump discontinuity of the rise velocity as a critical bubble volume is exceeded. The phenomenon has been extensively investigat…
An unstructured finite-volume level set / front tracking method for two-phase flows with large density-ratios
Jun Liu, Tobias Tolle, Dieter Bothe +1
We extend the unstructured LEvel set / froNT tracking (LENT) method for handling two-phase flows with strongly different densities (high-density ratios) by providing the theoretica…
Computing hydrodynamic eigenmodes of channel flow with slip -- A highly accurate algorithm
S. Raju, D. Gründing, T. Marić +2
The transient start-up flow solution with slip is a useful tool to verify Computational Fluid Dynamics (CFD) simulations. However, a highly accurate, open-source black box solution…
Sharp-Interface Continuum Thermodynamics of multicomponent fluid systems with interfacial mass
Dieter Bothe
We revisit the sharp-interface continuum thermodynamics of two-phase multicomponent fluid systems with interfacial mass. Since the published work is not fully consistent, we provid…
Numerical simulation of non-isothermal viscoelastic flows at high Weissenberg numbers using a finite volume method on general unstructured meshes
Stefanie Meburger, Matthias Niethammer, Dieter Bothe +1
In this numerical study, an original approach to simulate non-isothermal viscoelastic fluid flows at high Weissenberg numbers is presented. Stable computations over a wide range of…
A geometry-based model for spreading drops applied to drops on a silicon wafer and a swellable polymer brush film
Mathis Fricke, Beatrice Fickel, Maximilian Hartmann +3
We investigate the dynamics of spreading in a regime where the shape of the drop is close to a spherical cap. The latter simplification is applicable in the late (viscous) stage of…
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…
Experimental and numerical investigation of reactive species transport around a small rising bubble
Andre Weiner, Jens Timmermann, Chiara Pesci +4
In this article, we present experimental and numerical techniques to investigate the transfer, transport, and reaction of a chemical species in the vicinity of rising bubbles. In t…
A Kinematic Evolution Equation for the Dynamic Contact Angle and some Consequences
Mathis Fricke, Matthias Köhne, Dieter Bothe
We investigate the moving contact line problem for two-phase incompressible flows with a kinematic approach. The key idea is to derive an evolution equation for the contact angle i…
An Extended Volume of Fluid Method and its Application to Single Bubbles Rising in a Viscoelastic Liquid
Matthias Niethammer, Günter Brenn, Holger Marschall +1
An extended volume of fluid method is developed for two-phase direct numerical simulations of systems with one viscoelastic and one Newtonian phase. A complete set of governing equ…
Highly accurate numerical computation of implicitly defined volumes using the Laplace-Beltrami operator
Johannes Kromer, Dieter Bothe
This paper introduces a novel method for the efficient and accurate computation of the volume of a domain whose boundary is given by an orientable hypersurface which is implicitly…
Computational analysis of single rising bubbles influenced by soluble surfactant
Chiara Pesci, Andre Weiner, Holger Marschall +1
This paper presents novel insights about the influence of soluble surfactants on bubble flows obtained by Direct Numerical Simulation (DNS). Surfactants are amphiphilic compounds w…
A numerical stabilization framework for viscoelastic fluid flow using the finite volume method on general unstructured meshes
Matthias Niethammer, Holger Marschall, Christian Kunkelmann +1
A robust finite volume method for viscoelastic flow analysis on general unstructured meshes is developed. It is built upon a general-purpose stabilization framework for high Weisse…
On the multi-physics of mass-transfer across fluid interfaces
Dieter Bothe
Mass transfer of gaseous components from rising bubbles to the ambient liquid can be described based on continuum mechanical sharp-interface balances of mass, momentum and species…
Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent
Dieter Bothe, Kohei Soga
We derive mathematical models of the elementary process of dissolution/growth of bubbles in a liquid under pressure control. The modeling starts with a fully compressible version,…
Continuum thermodynamics of chemically reacting fluid mixtures
Dieter Bothe, Wolfgang Dreyer
We consider viscous, heat conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common t…
voFoam - A geometrical Volume of Fluid algorithm on arbitrary unstructured meshes with local dynamic adaptive mesh refinement using OpenFOAM
Tomislav Maric, Holger Marschall, Dieter Bothe
A new parallelized unsplit geometrical Volume of Fluid (VoF) algorithm with support for arbitrary unstructured meshes and dynamic local Adaptive Mesh Refinement (AMR), as well as f…
Experiments and Direct Numerical Simulations of binary collisions of miscible liquid droplets with different viscosities
C. Focke, D. Bothe, M. Kuschel +1
Binary droplet collisions are of importance in a variety of practical applications comprising dispersed two-phase flows. The background of our research is the prediction of propert…