On a marching level-set method for extended discontinuous Galerkin methods for incompressible two-phase flows: Benchmark Data
Description
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.
Subject
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-marchingDFG subject classification
4.22-03 StrömungsmechanikURI
https://tudatalib.ulb.tu-darmstadt.de/handle/tudatalib/2491https://doi.org/10.25534/tudatalib-327
Related third party funded projects
DFG | SFB1194 | TP B06 OberlackCollections
The following license files are associated with this item:
Except where otherwise noted, this item's license is described as Creative Commons Attribution-NonCommercial 4.0