Kummer, Florian
Florian
Kummer
Smuda, Martin
Martin
Smuda
0000-0001-7931-5176
On a marching level-set method for extended discontinuous Galerkin methods for incompressible two-phase flows: Benchmark Data
TU Darmstadt
2020
transient two-phase flow
sharp interface formulation
extended/unfitted Discontinuous Galerkin method
moving interface time discretization
cell agglomeration
level-set function
elliptic extension velocity
fast-marching
404-03 Strömungsmechanik
404-03 Fluid Mechanics
620
TU Darmstadt
2020-09-22
2020-09-22
2020-09-22
Dataset
https://tudatalib.ulb.tu-darmstadt.de/handle/tudatalib/2491
https://doi.org/10.25534/tudatalib-327
Creative Commons Attribution-NonCommercial 4.0
In this work a solver for instationary two-phase flows on the basis of the extended Discontinuous Galerkin (extended DG/XDG) method is presented. The XDG method adapts the approximation space conformal to the position of the interface. This allows a sub-cell accurate representation of the incompressible Navier-Stokes equations in their sharp interface formulation.
The interface is described as the zero set of a signed-distance level-set function and discretized by a standard DG method. For the interface, resp. level-set, evolution an extension velocity field is used and a two-staged algorithm is presented for its construction on a narrow-band. On the cut-cells a monolithic elliptic extension velocity method is adapted and a fast-marching procedure on the neighboring cells.
The spatial discretization is based on a symmetric interior penalty method and for the temporal discretization a moving interface approach is adapted. A cell agglomeration technique is utilized for handling small cut-cells and topology changes during the interface motion.
The method is validated against a wide range of typical two-phase surface tension driven flow phenomena including capillary waves, an oscillating droplet and the rising bubble benchmark.
DFG
SFB1194
TP B06 Oberlack