2022

Tolle, Tobias ; Gründing, Dirk ; Bothe, Dieter ; Marić, Tomislav (2022):
triSurfaceImmersion: Computing volume fractions and signed distances from triangulated surfaces immersed in unstructured meshes.
In: Computer Physics Communications, 273, Elsevier, ISSN 0010-4655,
DOI: 10.1016/j.cpc.2021.108249,
[Artikel]

Liu, Jie ; Oberlack, Martin ; Wang, Yongqi (2022):
Analytical Investigation of Viscoelastic Stagnation-Point Flows with Regard to Their Singularity. (Verlagsversion)
In: Applied Sciences, 11 (15), MDPI, e-ISSN 2076-3417,
DOI: 10.26083/tuprints-00021231,
[Artikel]

2021

Smuda, Martin ; Kummer, Florian (2021):
On a marching level‐set method for extended discontinuous Galerkin methods for incompressible two‐phase flows: Application to two‐dimensional settings.
In: International Journal for Numerical Methods in Engineering, 2021, S. 1-29. Wiley & Sons, ISSN 0029-5981,
DOI: 10.1002/nme.6853,
[Artikel]

Kikker, Anne ; Kummer, Florian ; Oberlack, Martin (2021):
A fully coupled high‐order discontinuous Galerkin solver for viscoelastic fluid flow.
In: International Journal for Numerical Methods in Fluids, 93 (6), S. 1736-1758. Wiley & Sons Ltd., ISSN 0271-2091,
DOI: 10.1002/fld.4950,
[Artikel]

Augner, Björn ; Bothe, Dieter (2021):
Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry.
In: Journal of Evolution Equations, 21 (3), S. 3521-3552. Birkhäuser Science, ISSN 1424-3199,
DOI: 10.1007/s00028-021-00692-4,
[Artikel]

Fickel, Beatrice ; Postulka, Niels ; Hartmann, Maximilian ; Gründing, Dirk M. ; Nau, Maximilian ; Meckel, Tobias ; Biesalski, Markus (2021):
Changes of meniscus shapes and capillary rise heights under hypergravity.
In: Colloids and Surfaces A: Physicochemical and Engineering Aspects, 610, Elsevier ScienceDirect, ISSN 0927-7757,
DOI: 10.1016/j.colsurfa.2020.125688,
[Artikel]

Schmitt, Johann M. ; Ulbrich, Stefan (2021):
Optimal Boundary Control of Hyperbolic Balance Laws with State Constraints.
In: SIAM Journal on Control and Optimization, 59 (2), S. 1341-1369. ISSN 0363-0129,
DOI: 10.1137/19M129797X,
[Artikel]

Schmitt, Johann M. ; Ulbrich, Stefan (2021):
Optimal Boundary Control of Hyperbolic Balance Laws with State Constraints.
In: SIAM Journal on Control and Optimization, 59 (2), S. 1341-1369. SIAM, ISSN 0363-0129,
DOI: 10.1137/19M129797X,
[Artikel]

Smuda, Martin (2021):
Direct Numerical Simulation of Multi-Phase Flows using Extended Discontinuous Galerkin Methods. (Verlagsversion)
Darmstadt, Technische Universität,
DOI: 10.26083/tuprints-00017376,
[Dissertation]

2020

Weiner, Andre ; Gründing, Dirk ; Bothe, Dieter (2020):
Computing Mass Transfer at Deformable Bubbles for High Schmidt Numbers.
In: Chemie Ingenieur Technik, ISSN 0009-286X,
DOI: 10.1002/cite.202000214,
[Artikel]

Marić, Tomislav ; Kothe, Douglas B. ; Bothe, Dieter (2020):
Unstructured un-split geometrical Volume-of-Fluid methods – A review.
In: Journal of Computational Physics, 420, Elsevier, ISSN 0021-9991,
DOI: 10.1016/j.jcp.2020.109695,
[Artikel]

Gründing, Dirk ; Smuda, Martin ; Antritter, Thomas ; Fricke, Mathis ; Rettenmaier, Daniel ; Kummer, Florian ; Stephan, Peter ; Marschall, Holger ; Bothe, Dieter (2020):
A comparative study of transient capillary rise using direct numerical simulations.
In: Applied Mathematical Modelling, 86, S. 142 - 165. ISSN 0307-904X,
DOI: 10.1016/j.apm.2020.04.020,
[Artikel]

Bothe, Dieter (2020):
Reflections on the article “Moving contact lines and dynamic contact angles: a ‘litmus test’ for mathematical models and some new challenges” by Yulii D. Shikhmurzaev.
In: The European Physical Journal Special Topics, 229 (10), S. 1979-1987. Springer, ISSN 1951-6355,
DOI: 10.1140/epjst/e2020-000149-6,
[Artikel]

Fricke, Mathis ; Bothe, Dieter (2020):
Boundary conditions for dynamic wetting - A mathematical analysis.
In: The European Physical Journal Special Topics, 229 (10), S. 1849-1865. Springer, ISSN 1951-6355,
DOI: 10.1140/epjst/e2020-900249-7,
[Artikel]

Bothe, Dieter (2020):
On moving hypersurfaces and the discontinuous ODE-system associated with two-phase flows.
In: Nonlinearity, 33 (10), S. 5425-5456. IOP Publishing, ISSN 0951-7715, e-ISSN 1361-6544,
DOI: 10.1088/1361-6544/ab987d,
[Artikel]

Plümacher, Dominik ; Oberlack, Martin ; Wang, Yongqi ; Smuda, Martin (2020):
On a non-linear droplet oscillation theory via the unified method.
In: Physics of Fluids, 32 (6), S. 067104. ISSN 1070-6631,
DOI: 10.1063/5.0007341,
[Artikel]

Kummer, Florian ; Weber, Jens ; Smuda, Martin (2020):
BoSSS: A package for multigrid extended discontinuous Galerkin methods.
In: Computers & Mathematics with Applications, 81, S. 237-257. Elsevier ScienceDirect, ISSN 08981221,
DOI: 10.1016/j.camwa.2020.05.001,
[Artikel]

Fricke, Mathis ; Marić, Tomislav ; Bothe, Dieter (2020):
Contact line advection using the geometrical Volume-of-Fluid method.
In: Journal of Computational Physics, 407, Elsevier, ISSN 0021-9991,
DOI: 10.1016/j.jcp.2019.109221,
[Artikel]

2019

Bothe, Dieter (2019):
Wellposedness of the discontinuous ODE associated with two-phase flows.
[Report]

Fricke, Mathis ; Bothe, Dieter (2019):
Boundary conditions for dynamic wetting — A mathematical analysis.
[Report]

Fricke, Mathis ; Marić, Tomislav ; Bothe, Dieter (2019):
Contact line advection using the geometrical Volume-of-Fluid method.
[Report]

Gründing, D. ; Smuda, M. ; Antritter, T. ; Fricke, M. ; Rettenmaier, D. ; Kummer, F. ; Stephan, P. ; Marschall, H. ; Bothe, D. (2019):
Capillary rise — A computational benchmark for wetting processes.
[Report]

Hartmann, Maximilian ; Fricke, Mathis ; Weimar, Lukas ; Gründing, Dirk ; Marić, Tomislav ; Bothe, Dieter ; Hardt, Steffen (2019):
Breakup dynamics of capillary bridges on hydrophobic stripes.
In: arXiv-Physics, In: Fluid Dynamics, (Preprint), [Artikel]

Smuda, Martin ; Oberlack, Martin (2019):
On the analytical solution of the two-phase Couette flow with wall transpiration.
In: Physics of Fluids, 31 (12), S. 123603. ISSN 1070-6631,
DOI: 10.1063/1.5119795,
[Artikel]

Haubner, Johannes ; Ulbrich, Michael ; Ulbrich, Stefan (2019):
Analysis of shape optimization problems for unsteady fluid-structure interaction.
In: Inverse Problems, 2019, Institute of Physics Publishing (IOP), ISSN 0266-5611, e-ISSN 1361-6420,
DOI: 10.1088/1361-6420/ab5a11,
[Artikel]

Fricke, Mathis ; Maric, T. ; Bothe, D. (2019):
Contact line advection using the Level Set method.
In: Proceedings in Applied Mathematics and Mechanics, 19 (1), Wiley-VCH, ISSN 1617-7061,
DOI: 10.1002/pamm.201900476,
[Artikel]

Gründing, Dirk ; Fricke, Mathis ; Bothe, Dieter (2019):
Capillary Rise ‐ Jurin's Height vs Spherical Cap.
In: PAMM, 19 (1), S. e201900336. ISSN 1617-7061,
DOI: 10.1002/pamm.201900336,
[Artikel]

Fricke, Mathis ; Maric, Tomislav ; Bothe, DieterContact Line Advection using the Level Set Method : Data and C++ Implementations.
DOI: 10.25534/tudatalib-58,
[Forschungsdaten]

Bitsch, Thorsten ; Schäfer, Julian ; Diehl, Elisabeth ; Sauer, Hans Martin ; Dörsam, Edgar ; Ulbrich, Stefan
Ridgeway, C. (Hrsg.) (2019):
An experimental and numerical cooperative research concept for doctor blading.
S. 68 - 74, 46th International Research Conference of IARIGAI, Stuttgart, Germany, 15.-18. September 2019, ISBN 978-3-9870704-1-9,
[Konferenzveröffentlichung]

Rettenmaier, Daniel ; Deising, Daniel ; Ouedraogo, Yun ; Gjonaj, Erion ; De Gersem, Herbert ; Bothe, Dieter ; Tropea, Cameron ; Marschall, Holger (2019):
Load balanced 2D and 3D adaptive mesh refinement in OpenFOAM.
10, In: SoftwareX, 2019, S. 100317. ISSN 2352-7110,
DOI: 10.1016/j.softx.2019.100317,
[Artikel]

Gründing, D. (2019):
From the continuum mechanical description to the Washburn model.
Wetting on Soft or Microstructured Surfaces - 694. WE-Heraeus-Seminar, Bad Honnef, April 11-13, 2019, [Konferenzveröffentlichung]

Fricke, Mathis ; Bothe, D. (2019):
The contact line advection problem.
GAMM 2019 - 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Vienna, February 18-22, 2019, [Konferenzveröffentlichung]

Gründing, D. ; Marschall, Holger ; Bothe, Dieter (2019):
The capillary rise as a benchmark for DNS wetting simulations.
GAMM 2019 - 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Vienna, February 18-22, 2019, [Konferenzveröffentlichung]

Fricke, Mathis ; Köhne, Matthias ; Bothe, Dieter (2019):
A kinematic evolution equation for the dynamic contact angle and some consequences.
In: Physica D: Nonlinear Phenomena, ISSN 01672789,
DOI: 10.1016/j.physd.2019.01.008,
[Artikel]

Niethammer, Matthias ; Brenn, Günter ; Marschall, Holger ; Bothe, Dieter (2019):
An extended volume of fluid method and its application to single bubbles rising in a viscoelastic liquid.
In: Journal of Computational Physics, 387, S. 326-355. ISSN 00219991,
DOI: 10.1016/j.jcp.2019.02.021,
[Artikel]

Schäfer Aguilar, P. ; Schmitt, J. M. ; Ulbrich, Stefan ; Moos, M. (2019):
On the numerical discretization of optimal control problems for conservation laws.
In: Control and Cybernetics, 2019 (1), Systems Reseach Institute of the Polish Academy of Sciences, ISSN 0324-8569,
[Artikel]

Stark, Tobias ; Kiedrowski, Thomas ; Marschall, Holger ; Lasagni, Andrés Fabián (2019):
Avoiding Starvation in Tribocontact Through Active Lubricant Transport in Laser Textured Surfaces.
In: Lubricants, 7 (6), S. 54. ISSN 2075-4442,
DOI: 10.3390/lubricants7060054,
[Artikel]

2018

Kummer, Florian ; Smuda, Martin (2018):
On the combination of extended Galerkin methods with mesh adaption.
13th World Congress on Compuational Mechanics (WCCM XIII)/2nd Pan American Congress on Computational Mechanics (PANACM II), New York, July, 22-27, 2018, [Konferenzveröffentlichung]

Gründing, D. ; Marschall, Holger ; Bothe, Dieter (2018):
Wetting phenomena with ALE interface tracking.
13th OpenFOAM Workshop, Shanghai, June 24-29, 2018, [Konferenzveröffentlichung]

Smuda, Martin ; Kummer, Florian ; Oberlack, Martin (2018):
An extended Discontinuous Galerkinmethod for two-phase flows and moving contact lines.
ECCM - ECFD 2018 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) 7th European Conference on Computational Fluid Dynamics, Glasgow, June 11-15, 2018, [Konferenzveröffentlichung]

Fricke, Mathis ; Köhne, Matthias ; Bothe, Dieter (2018):
A Kinematic Evolution Equation for the Dynamic Contact Angle in the Presence of Phase Change.
Workshop on Surface Wettability Effects on Phase Change Phenomena, Brighton, May 17-18, 2018, [Konferenzveröffentlichung]

Ulbrich, Stefan (2018):
Optimal boundary control of nonlinear hyperbolic conservation laws with state constraints.
"Challenges in Optimal Control of Nonlinear PDE-Systems" Oberwolfach Meeting, Oberwolfach, April 8-14, 2018, [Konferenzveröffentlichung]

Gründing, D. ; Marschall, Holger ; Bothe, Dieter (2018):
Wetting with an ALE interface tracking method.
89th Annual Meeting of the International Association of Applied Mathematics and Mechanics, München, March 19-23, 2018, [Konferenzveröffentlichung]

Fink, V. ; Cai, X. ; Stroh, A. ; Bernard, R. ; Kriegseis, J. ; Frohnapfel, B. ; Marschall, H. ; Wörner, M. (2018):
Drop bouncing by micro-grooves.
In: International Journal of Heat and Fluid Flow, 70, S. 271-278. ISSN 0142727X,
DOI: 10.1016/j.ijheatfluidflow.2018.02.014,
[Artikel]

Fricke, Mathis ; Köhne, Matthias ; Bothe, Dieter (2018):
On the Kinematics of Contact Line Motion.
In: PAMM, 18 (1), S. e201800451. ISSN 16177061,
DOI: 10.1002/pamm.201800451,
[Artikel]

Gründing, Dirk ; Bothe, Dieter ; Marschall, Holger (2018):
Wetting phenomena with ALE interface tracking.
In: PAMM, 18 (1), S. e201800430. ISSN 16177061,
DOI: 10.1002/pamm.201800430,
[Artikel]

Marić, T. ; Marschall, H. ; Bothe, D. (2018):
An enhanced un-split face-vertex flux-based VoF method.
In: Journal of Computational Physics, 371, S. 967-993. ISSN 00219991,
DOI: 10.1016/j.jcp.2018.03.048,
[Artikel]

Milzetti, Jasmin ; Nayar, Divya ; Vegt, Nico F. A. van der (2018):
Convergence of Kirkwood–Buff Integrals of Ideal and Nonideal Aqueous Solutions Using Molecular Dynamics Simulations.
In: The Journal of Physical Chemistry B, 122 (21), S. 5515-5526. ISSN 1520-6106,
DOI: 10.1021/acs.jpcb.7b11831,
[Artikel]

Pesci, Chiara ; Weiner, Andre ; Marschall, Holger ; Bothe, Dieter (2018):
Computational analysis of single rising bubbles influenced by soluble surfactant.
In: Journal of Fluid Mechanics, 856, S. 709-763. ISSN 0022-1120,
DOI: 10.1017/jfm.2018.723,
[Artikel]

2017

Gründing, D. ; Marschall, H. ; Bothe, D. (2017):
Moving contact line treatment using a finite volume ALE interface-tracking method.
ICNMMF-III International Conference on Numerical Methods in Multiphase Flows, Tokyo, 26.-29.07.2017, [Konferenzveröffentlichung]

Kummer, Florian (2017):
Discontinuous Galerkin Methods for fluid dynamical problems with dynamic boundaries: multiphase flows.
FEF 2017 19th International Conference on Finite Elements in Flow Problems, Rome, 5.-7. April 2017, [Konferenzveröffentlichung]

Kummer, Florian (2017):
High-fidelity droplet and bubble simulations using local enrichment.
70th Annual Meeting of the APS Division of Fluid Dynamics, Denver, Colorado, November 19-21, 2017, [Konferenzveröffentlichung]

Gründing, D. (2017):
Towards Wetting Processes with Interface Tracking.
NUMAP-FOAM School 2017, Zagreb, August 21 - September 1, 2017, [Konferenzveröffentlichung]

Utz, Thomas ; Kummer, Florian (2017):
High order DG level-set methods for coupled problems.
X-DMS 2017 eXtended Discretization MethodS for partial differential equations on complex and evolving domanins, Umeå, Sweden, June 19 - 21, 2017, [Konferenzveröffentlichung]

Geisenhofer, Markus ; Müller, Björn ; Krämer-Eis, Stephan ; Kummer, Florian (2017):
Fictitious domain Discontinuous Galerkin methods for problems with moving boundaries.
eXtended Discretization Methods (X-DMS 2017), Umeå, Sweden, June 19 - 21, 2017, [Konferenzveröffentlichung]

Kummer, Florian (2017):
The application of classical temporal integration schemes on problems with moving domains.
X-DMS 2017 eXtended Discretization MethodS for partial differential equations on complex and evolving domanins, Umeå, Sweden, June 19 - 21, 2017, [Konferenzveröffentlichung]

Fricke, Mathis ; Bothe, Dieter (2017):
Modeling and VOF based simulation of dynamic contact lines.
ICNMMF-III International Conference on Numerical Methods in Multiphase Flows, Tokyo, 26.-29.07. 2017, [Konferenzveröffentlichung]

Krause, Dennis ; Kummer, Florian (2017):
An incompressible immersed boundary solver for moving body flows using a cut cell discontinuous Galerkin method.
In: Computers & Fluids, 153, S. 118-129. ISSN 00457930,
DOI: 10.1016/j.compfluid.2017.05.008,
[Artikel]

Cai, Xuan ; Wörner, Martin ; Marschall, Holger ; Deutschmann, Olaf (2017):
CFD Simulation of Liquid Back Suction and Gas Bubble Formation in a Circular Tube with Sudden or Gradual Expansion.
In: Emission Control Science and Technology, 3 (4), S. 289-301. ISSN 2199-3629,
DOI: 10.1007/s40825-017-0073-3,
[Artikel]

Fischer, Michael ; Lindemann, Florian ; Ulbrich, Michael ; Ulbrich, Stefan (2017):
Fréchet Differentiability of Unsteady Incompressible Navier--Stokes Flow with Respect to Domain Variations of Low Regularity by Using a General Analytical Framework.
In: SIAM Journal on Control and Optimization, 55 (5), S. 3226-3257. ISSN 0363-0129,
DOI: 10.1137/16m1089563,
[Artikel]

Gründing, D. ; Marschall, Holger ; Bothe, D. (2017):
Wetting processes with ALE interface tracking.
12th OpenFOAM Workshop, Exeter, 24.-27.07.2017, [Konferenzveröffentlichung]

Kummer, Florian ; Müller, Björn ; Utz, Thomas (2017):
Time integration for extended discontinuous Galerkin methods with moving domains.
In: International Journal for Numerical Methods in Engineering, 113 (5), S. 767-788. ISSN 00295981,
DOI: 10.1002/nme.5634,
[Artikel]

Utz, Thomas ; Kummer, Florian (2017):
A high-order discontinuous Galerkin method for extension problems.
In: International Journal for Numerical Methods in Fluids, 86 (8), S. 509-518. ISSN 02712091,
DOI: 10.1002/fld.4464,
[Artikel]

2016

Fath, Anja ; Fricke, Mathis ; Bothe, D. (2016):
Thermocapillary Droplet Actuation on a Wall.
International Conference on Multiphase Flow, Firenze, May 22-27, 2016, [Konferenzveröffentlichung]