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


Existing high accuracy discontinuous Galerkin methods for multi-phase flows will be extended to accommodate effects encountered at dynamic contact lines. Focus will be placed on the numerical realization of the slip boundary condition close to the contact line in the DG level-set method. The initial development will be in the framework of the in-house BoSSS (Bounded Support Spectral Solver) code, but will be successively ported to the OpenFOAM environment.

With that, a selection of coupled transport and wetting scenarios from the generic configurations will be investigated numerically, in the longer term also including the transport of surfactant and heat transfer near the contact line.

Due to its inherent approximation properties, the DG method shows great potential for the simulation of contact line problems. In the conventional DG-method, polynomial ansatz-functions are used for the approximation of variables like velocity or pressure in each cell. Since discontinuities at the cell boundaries are explicitly allowed, it is not required to use exclusively polynomials. Indeed, one is free to choose other, non-polynomial functions for the approximation of the flow properties. This is especially useful for the integration of sub-scale-models, like the ones used to describe moving contact lines.

Furthermore, the DG-method has proven to be very useful in the context of level-set-methods. Firstly, DG is very suitable for the treatment of convectional processes, as the ones which appear in level-set-methods. Secondly, the position of the fluid interface (i.e. the zero-level-set) can be reconstructed very accurately due to the polynomial nature of the representation, without any artificial interpolation assumptions.


  Name Contact
Prof. Dr.-Ing Martin Oberlack
+49 6151 16-26200
L1|01 332
Martin Smuda M.Sc.
+49 6151 16-26196
L1|01 325

Associated members

  Name Contact
Dr.-Ing. Florian Kummer
Numerical Simulation of Multiphase Flows
+49 6151 16-26194
L1|01 324

Publications and conference contributions

Jump to: 2019 | 2018 | 2017
Number of items at this level: 12.


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.
In: International Journal for Numerical Methods in Engineering, 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.
In: International Journal for Numerical Methods in Fluids, ISSN 02712091, DOI: 10.1002/fld.4464,
[Online-Edition: https://doi.org/10.1002/fld.4464],

This list was generated on Fri Feb 28 01:27:43 2020 CET.