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