Publications

Journal Articles

  1. D. Bothe, M. Fricke, K. Soga: Mathematical analysis of modified level-set equations, Mathematische Annalen (2024), DOI: 10.1007/s00208-024-02868-y (open access)
  2. M. Fricke, E. A. Ouro-Koura, S. Raju, R. von Klitzing, J. De Coninck and D. Bothe: An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations, Physica D: Nonlinear Phenomena (2023),
    DOI: 10.1016/j.physd.2023.133895, arXiv:2305.05939
  3. T. Richter, M. Fricke, P. Stephan, C. Tropea, J. Hussong: Studying macro- and mesoscopic wetting dynamics of a spreading oil droplet using multiple wavelength interferometry, Experiments in Fluids (2023)
    DOI: 10.1007/s00348-023-03717-5 (open access)
  4. S. Raju, D. Gründing, T. Marić and D. Bothe, M. Fricke: Computing
    hydrodynamic eigenmodes of channel flow with slip – A highly accurate algorithm,
    The Canadian Journal of Chemical Engineering (2022),
    DOI: 10.1002/cjce.24598 (open access)
  5. N. Postulka, M. Seibert, A. Geißler, M. Fricke, D. Bothe, T. Meckel and M. Biesalski: Porosity Centrifuge: Analysis of the Porous Structure of Paper in Contact with Water under Hypergravity Conditions, (2022)
  6. M. Hartmann, M. Fricke, L. Weimar, D. Gründing, T. Marić, D. Bothe,
    S. Hardt: Breakup dynamics of Capillary Bridges on Hydrophobic Stripes, International Journal of Multiphase Flow (2021),
    DOI: 10.1016/j.ijmultiphaseflow.2021.103582. (open access)
  7. M. Fricke, T. Marić and D. Bothe: Contact line advection using the geometrical Volume-of-Fluid method, Journal of Computational Physics (2020),
    DOI: 10.1016/j.jcp.2019.109221, arXiv:1907.01785
  8. D. Gründing, M. Smuda, T. Antritter, M. Fricke, D. Rettenmaier, F.
    Kummer, P. Stephan, H. Marschall, D. Bothe: A comparative study of transient capillary rise using direct numerical simulations, Applied Mathematical Modelling (2020), DOI: 10.1016/j.apm.2020.04.020. (open access)
  9. M. Fricke, D. Bothe: Boundary conditions for dynamic wetting – A mathematical analysis, European Physical Journal Special Topics (2020), DOI: 10.1140/epjst/e2020-900249-7. (open access)
  10. M. Fricke, M. Köhne and D. Bothe: A kinematic evolution equation for the dynamic contact angle and some consequences, Physica D: Nonlinear Phenomena (2019), DOI: 10.1016/j.physd.2019.01.008, arXiv:1810.00830.

Preprints

  1. M. Fricke, C. Bernklau, E. Diehl, J. De Coninck, S. Ulbrich, D. Bothe: On the problem of optimal fluid transport in capillaries, arXiv:2404.12263 (2024)
  2. H. Zhang, A. Lippert, R. Leonhardt, T. Tolle, L. Nagel, M. Fricke, T. Maric: Experimental study of dynamic wetting behavior through curved microchannels with automated image analysis, arXiv:2403.09246 (2024)
  3. M. Schwarzmeier, S. Raju, Ž. Tuković, M. Fricke, D.Bothe, T. Marić: twoPhaseInterTrackFoam: an OpenFOAM module for Arbitrary Lagrangian/Eulerian Interface Tracking with Surfactants and Subgrid-Scale Modeling, arXiv:2403.19523 (2024)
  4. T. Fullana, Y. Kulkarni, M. Fricke, S. Popinet, S. Afkhami, D. Bothe, S. Zaleski: A consistent treatment of dynamic contact angles in the sharp-interface framework with the generalized Navier boundary condition, DOI:10.5281/zenodo.10142047 (2023)
  5. M. Fricke, S. Raju, E. A. Ouro-Koura, O. Kozymka, J. De Coninck, Z. Tukovic, T. Maric, D. Bothe: Bridging the scales in capillary rise dynamics with complexity-reduced models, arXiv:2311.11947 (2023)
  6. S. Raju, F. Braig, M. Fricke, D. Gründing, E. Dörsam, H. M. Sauer, D. Bothe: Imaging and simulation-based analysis of evaporation flows over wetting edges, arXiv:2311.10867 (2023)
  7. M. Fricke, T. Marić, A. Vučković, I. Roisman, D. Bothe: A locally signed-distance preserving level set method (SDPLS) for moving interfaces, arXiv:2208.01269 (2023)
  8. P. Rostami, M. Fricke, S. Schubotz, H. Patel, R. Azizmalayeri, G. Auernhammer: Spreading of a viscoelastic drop on a solid substrate, arXiv:2308.14515 (2023)
  9. M. H. Asghar, T. Maric, H. Ben Gozlen, S. Raju, M. Fricke, M. Kuhr, P. F. Pelz, D. Bothe: Analytical and numerical validation of a plate-plate tribometer for measuring wall slip, arXiv:2311.10821 (2023)
  10. M. H. Asghar, M. Fricke, D. Bothe, T. Maric: Numerical wetting benchmarks – advancing the plicRDF-isoAdvector unstructured Volume-of-Fluid (VOF) method, arXiv:2302.02629 (2023)
  11. L. Gossel, M. Fricke, D. Bothe: Enhanced Modeling of Back-Mixing in Chemical Reactor Networks, arXiv:2305.11591 (2023)
  12. M. Fricke, B. Fickel, M. Hartmann, D. Gründing, M. Biesalski, D. Bothe: A geometry-based model for spreading drops applied to drops on a silicon wafer and a swellable polymer brush film, arXiv: 2003.04914 (2020).

Theses

  1. M. Fricke: Mathematical modeling and Volume-of-Fluid based simulation of dynamic wetting, PhD Thesis, TU Darmstadt (2021),
    DOI: 10.12921/tuprints-00014274.
  2. M. Fricke: Der Satz von Noether und seine Anwendungen (2014), Bachelor Thesis in Mathematics, DOI: 10.13140/RG.2.2.34783.20649.
  3. M. Fricke: Vergleich von Methoden zur Rekonstruktion von Quanten-
    zustönden
    (2012), Bachelor Thesis in Physics,
    DOI: 10.13140/RG.2.2.25298.50889.

Conference Proceedings

  1. M. Fricke, M. Köhne, D. Bothe: On the kinematics of contact line motion, Proceedings in Applied Mathematics and Mechanics (2018),
    DOI: 10.1002/pamm.201800451.
  2. M. Fricke, T. Marić and D. Bothe: Contact line advection using the Level Set method, Proceedings in Applied Mathematics and Mechanics (2019),
    DOI: 10.1002/pamm.201900476. (open access)
  3. D. Gründing, M. Fricke, D. Bothe: Capillary Rise – Jurin’s Height vs Spherical Cap, Proceedings in Applied Mathematics and Mechanics (2019),
    DOI: 10.1002/pamm.201900336. (open access)

Science Communication

  1. M. Fricke, G. Thaeter: Dynamische Benetzung, Interview in the “Modellansatz” podcast, Episode 242, Fakultät für Mathematik, Karlsruher Institut für Technologie (KIT), http://modellansatz.de/dynamische-benetzung (2021)

Data and Software

  1. M. Fricke, E. A. Ouro-Koura, S. Raju, R. von Klitzing, J. De Coninck, D. Bothe: An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations – Research Data, DOI: 10.5281/zenodo.8202001 (2023)
  2. S. Raju, D. Gründing, T. Marić, D. Bothe, M. Fricke: Computing hydrodynamic eigenmodes of channel flow with slip – A highly accurate algorithm: Software and research data, DOI: 10.5281/zenodo.6806351 (2022)
  3. M. Hartmann, M. Fricke, L. Weimar, D. Gründing, T. Marić, D. Bothe,
    S. Hardt: Breakup Dynamics of Capillary Bridges on Hydrophobic Stripes: Research data, DOI: 10.48328/tudatalib-425 (2021)
  4. M. Fricke, T. Marić and D. Bothe: Contact Line Advection using the
    Volume-of-Fluid Method: Data and FORTRAN-Implementations,

    DOI: 10.25534/tudatalib-147 (2020)
  5. D. Gründing, M. Smuda, T. Antritter, M. Fricke, D. Rettenmaier, F. Kummer, P. Stephan, H. Marschall, D. Bothe: A comparative study of transient capillary rise using direct numerical simulations: Benchmark Data,
    DOI: 10.25534/tudatalib-173 (2020)
  6. M. Fricke, T. Marić, A. Vučković and D. Bothe: Contact Line Advec-
    tion using the Level Set Method: Data and C++-Implementations,

    DOI: 10.25534/tudatalib-58 (2019)