On a marching level-set method for extended discontinuous Galerkin methods for incompressible two-phase flows: Benchmark Data
| dc.contributor.author | Kummer, Florian | |
| dc.contributor.author | Smuda, Martin | |
| dc.date.accessioned | 2020-09-22T12:59:54Z | |
| dc.date.available | 2020-09-22T12:59:54Z | |
| dc.date.issued | 2020-09-22 | |
| dc.identifier.uri | https://tudatalib.ulb.tu-darmstadt.de/handle/tudatalib/2491 | |
| dc.identifier.uri | https://doi.org/10.25534/tudatalib-327 | |
| dc.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. | en_US |
| dc.rights | Creative Commons Attribution-NonCommercial 4.0 | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc/4.0/ | |
| dc.subject | transient two-phase flow | en_US |
| dc.subject | sharp interface formulation | en_US |
| dc.subject | extended/unfitted Discontinuous Galerkin method | en_US |
| dc.subject | moving interface time discretization | en_US |
| dc.subject | cell agglomeration | en_US |
| dc.subject | level-set function | en_US |
| dc.subject | elliptic extension velocity | en_US |
| dc.subject | fast-marching | en_US |
| dc.subject.classification | 404-03 Strömungsmechanik | en_US |
| dc.subject.ddc | 620 | |
| dc.title | On a marching level-set method for extended discontinuous Galerkin methods for incompressible two-phase flows: Benchmark Data | en_US |
| dc.type | Dataset | en_US |
| tud.project | DFG | SFB1194 | TP B06 Oberlack | en_US |
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