Higher Order Schemes for Direct Numerical Simulation for Wetting and De-Wetting Problems based on Discontinuous Galerkin Methods


One focus of B06 is the application of the numerical schemes from the first funding period to experiments of the CRC, especially those with phase transitions. By connecting the inhouse Extended Discontinuous Galerkin (XDG) code (see also Kummer 2016 and Kummer et al. 2017) to the OpenFOAM infrastructure, the DG method can be applied within other CRC projects, e.g. to phase field models in cooperation with B07. The second focus is the continuation of contact line modelling with the XDG method. Due to its high local accuracy, this method is particularly suitable for the investigation of thermodynamic inconsistencies of contact line models. Moreover, singularities of the flow fields can be treated by means of local basis functions.


  Name Contact
Dr.-Ing. Florian Kummer
+49 6151 16-26194
L1|01 324
Martin Smuda M.Sc.
+49 6151 16-26196
L1|01 325

Associated members

  Name Contact
Prof. Dr.-Ing Martin Oberlack
+49 6151 16-26200
L1|01 332

Publications and conference contributions

Jump to: 2020 | 2019 | 2018 | 2017
Number of items at this level (without sub-levels): 15.


Gründing, Dirk and Smuda, Martin and Antritter, Thomas and Fricke, Mathis and Rettenmaier, Daniel and Kummer, Florian and Stephan, Peter and Marschall, Holger and Bothe, Dieter (2020):
A comparative study of transient capillary rise using direct numerical simulations.
In: Applied Mathematical Modelling, 86, pp. 142 - 165, ISSN 0307-904X,
DOI: 10.1016/j.apm.2020.04.020,
[Online-Edition: http://www.sciencedirect.com/science/article/pii/S0307904X20...],

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

Kummer, Florian and Weber, Jens and Smuda, Martin (2020):
BoSSS: A package for multigrid extended discontinuous Galerkin methods.
In: Computers & Mathematics with Applications, ISSN 08981221,
DOI: 10.1016/j.camwa.2020.05.001,
[Online-Edition: https://doi.org/10.1016/j.camwa.2020.05.001],


Gründing, D. and Smuda, M. and Antritter, T. and Fricke, M. and Rettenmaier, D. and Kummer, F. and Stephan, P. and Marschall, H. and Bothe, D. (2019):
Capillary rise — A computational benchmark for wetting processes.
[Online-Edition: http://arxiv.org/pdf/1907.05054],

Smuda, Martin and Oberlack, Martin (2019):
On the analytical solution of the two-phase Couette flow with wall transpiration.
In: Physics of Fluids, 31, (12), p. 123603, ISSN 1070-6631,
DOI: 10.1063/1.5119795,
[Online-Edition: https://doi.org/10.1063/1.5119795],


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

Smuda, Martin and Kummer, Florian and Oberlack, Martin (2018):
An extended Discontinuous Galerkinmethod for two-phase flows and moving contact lines.
In: 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, [Conference or Workshop Item]


Kummer, Florian (2017):
Discontinuous Galerkin Methods for fluid dynamical problems with dynamic boundaries: multiphase flows.
In: FEF 2017 19th International Conference on Finite Elements in Flow Problems, Rome, 5.-7. April 2017, [Online-Edition: http://congress.cimne.com/FEF2017/admin/files/fileabstract/a...],
[Conference or Workshop Item]

Kummer, Florian (2017):
High-fidelity droplet and bubble simulations using local enrichment.
In: 70th Annual Meeting of the APS Division of Fluid Dynamics, Denver, Colorado, November 19-21, 2017, [Online-Edition: http://adsabs.harvard.edu/abs/2017APS..DFD.Q7006K],
[Conference or Workshop Item]

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

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

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

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

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

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

This list was generated on Mon Nov 23 01:38:45 2020 CET.