Multivalued differential equations on graphs and applications. - Dieter Bothe (1992)

Lp-Theory for a Class of Non-Newtonian Fluids. - Dieter Bothe; Jan Prüss (SIAM J. Math. Anal., 2007)

Computation of scales and quality of mixing in a T-shaped microreactor. - Dieter Bothe; Carsten Stemich; Hans-Joachim Warnecke (Comput. Chem. Eng., 2008)

Experiments and Direct Numerical Simulations of binary collisions of miscible liquid droplets with different viscosities - Christian Focke; Dieter Bothe; Matthias Kuschel; Martin Sommerfeld (CoRR, 2012)

Numerical Modelling of Viscoelastic Fluid-Structure Interaction and Its Application for a Valveless Micropump. - Xingyuan Chen; Michael Schäfer; Dieter Bothe (ENUMATH, 2013)

Numerical modeling of thermocapillary two-phase flows with evaporation using a two-scalar approach for heat transfer. - Chen Ma; Dieter Bothe (J. Comput. Phys., 2013)

On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows. - Dieter Bothe; Matthias Köhne; Jan Prüss (SIAM J. Math. Anal., 2013)

A graph-theoretical approach for the computation of connected iso-surfaces based on volumetric data. - Abdulaziz Ali; Dieter Bothe (CoRR, 2014)

Global Well-Posedness and Stability of Electrokinetic Flows. - Dieter Bothe; André Fischer; Jürgen Saal (SIAM J. Math. Anal., 2014)

A Volume-of-Fluid-based numerical method for multi-component mass transfer with local volume changes. - Stefan Fleckenstein; Dieter Bothe (J. Comput. Phys., 2015)

Advanced subgrid-scale modeling for convection-dominated species transport at fluid interfaces with application to mass transfer from rising bubbles. - Andre Weiner; Dieter Bothe (J. Comput. Phys., 2017)

Boundedness-preserving implicit correction of mesh-induced errors for VOF based heat and mass transfer. - Simon Hill; Daniel Deising; Thomas Acher; Harald Klein 003; Dieter Bothe; Holger Marschall (J. Comput. Phys., 2018)

An enhanced un-split face-vertex flux-based VoF method. - Tomislav Maric; Holger Marschall; Dieter Bothe (J. Comput. Phys., 2018)

Capillary Rise - A Computational Benchmark for Wetting Processes. - Dirk Gründing; Martin Smuda; T. Antritter; Mathis Fricke; Daniel Rettenmaier; Florian Kummer; P. Stephan; Holger Marschall; Dieter Bothe (CoRR, 2019)

Highly accurate computation of volume fractions using differential geometry. - Johannes Kromer; Dieter Bothe (J. Comput. Phys., 2019)

An extended volume of fluid method and its application to single bubbles rising in a viscoelastic liquid. - Matthias Niethammer; Günter Brenn; Holger Marschall; Dieter Bothe (J. Comput. Phys., 2019)

Load balanced 2D and 3D adaptive mesh refinement in OpenFOAM. - Daniel Rettenmaier; Daniel Deising; Yun Ouedraogo; Erion Gjonaj; Herbert De Gersem; Dieter Bothe; Cameron Tropea; Holger Marschall (SoftwareX, 2019)

Contact line advection using the geometrical Volume-of-Fluid method. - Mathis Fricke; Tomislav Maric; Dieter Bothe (J. Comput. Phys., 2020)

Unstructured un-split geometrical Volume-of-Fluid methods - A review. - Tomislav Maric; Douglas B. Kothe; Dieter Bothe (J. Comput. Phys., 2020)

Efficient three-material PLIC interface positioning on unstructured polyhedral meshes. - Johannes Kromer; Johanna Potyka; Kathrin Schulte; Dieter Bothe (CoRR, 2021)

On the molecular mechanism behind the bubble rise velocity jump discontinuity in viscoelastic liquids. - Dieter Bothe; Matthias Niethammer; Christian Pilz; Günter Brenn (CoRR, 2021)

Third-order accurate initialization of VOF volume fractions on unstructured meshes with arbitrary polyhedral cells. - Johannes Kromer; Dieter Bothe (CoRR, 2021)

A locally signed-distance preserving level set method (SDPLS) for moving interfaces. - Mathis Fricke; Tomislav Maric; Aleksandar Vuckovic; Dieter Bothe (CoRR, 2022)

A Research Software Engineering Workflow for Computational Science and Engineering. - Tomislav Maric; Dennis Gläser; Jan-Patrick Lehr; Ioannis Papagiannidis; Benjamin Lambie; Christian H. Bischof; Dieter Bothe (CoRR, 2022)

triSurfaceImmersion: Computing volume fractions and signed distances from triangulated surfaces immersed in unstructured meshes. - Tobias Tolle; Dirk Gründing; Dieter Bothe; Tomislav Maric (Comput. Phys. Commun., 2022)

Face-based Volume-of-Fluid interface positioning in arbitrary polyhedra. - Johannes Kromer; Dieter Bothe (J. Comput. Phys., 2022)

A pragmatic workflow for research software engineering in computational science. - Tomislav Maric; Dennis Gläser; Jan-Patrick Lehr; Ioannis Papagiannidis; Benjamin Lambie; Christian H. Bischof; Dieter Bothe (CoRR, 2023)

Third-order accurate initialization of volume fractions on unstructured meshes with arbitrary polyhedral cells. - Johannes Kromer; Dieter Bothe (J. Comput. Phys., 2023)

Second-order accurate normal reconstruction from volume fractions on unstructured meshes with arbitrary polyhedral cells. - Johannes Kromer; Fabio Leotta; Dieter Bothe (J. Comput. Phys., 2023)

An unstructured finite-volume level set / front tracking method for two-phase flows with large density-ratios. - Jun Liu; Tobias Tolle; Dieter Bothe; Tomislav Maric (J. Comput. Phys., 2023)

Numerical wetting simulations using the plicRDF-isoAdvector unstructured Volume-of-Fluid (VOF) method. - Muhammad Hassan Asghar; Mathis Fricke; Dieter Bothe; Tomislav Maric (Comput. Math. Appl., 2025)

An unstructured geometrical un-split VOF method for viscoelastic two-phase flows. - Matthias Niethammer; Muhammad Hassan Asghar; Dieter Bothe; Tomislav Maric (Comput. Phys. Commun., 2025)

twoPhaseInterTrackFoam: An OpenFOAM module for arbitrary Lagrangian/Eulerian interface tracking with surfactants and subgrid-scale modeling. - Moritz Schwarzmeier; Suraj Raju; Zeljko Tukovic; Mathis Fricke; Dieter Bothe; Tomislav Maric (Comput. Phys. Commun., 2025)