The rise of liquid in capillaries, or between two parallel plates as the 2D variant thereof,
represents a challenging test case for two-phase flow solvers without a full analytic solution …

In this work a solver for two‐dimensional, instationary two‐phase flows on the basis of the
extended discontinuous Galerkin (extended DG/XDG) method is presented. The XDG …

The software package BoSSS serves the discretization of (steady-state or time-dependent)
partial differential equations with discontinuous coefficients and/or time-dependent domains …

In this work, we present an extended Discontinuous Galerkin method for simulating
transient, incompressible two-phase flows, which include heat transfer and thermally driven …

We derive a closed system of equations modeling an active suspension using the Eulerian
spatial averaging theory under the assumption of a low-Reynolds flow R e≪ 1⁠. The …

Nonlinear axisymmetric shape oscillations of a Newtonian drop in a vacuum are
investigated using two different theoretical methods, for fundamental interest and for the …

The scientific study of multi-phase flows is a challenging task for analytical and experimental
works. Thus, sophisticated and specialized numerical methods are in need for the direct …

In this paper, we introduce a novel high‐order shock tracking method and provide a proof of
concept. Our method leverages concepts from implicit shock tracking and extended …

This work presents three algorithms for the level set modeling of phase boundaries. The
application of these algorithms are high-order extended discontinuous Galerkin methods for …

In this work, a cell agglomeration strategy for the cut cells arising in the extended
discontinuous Galerkin (XDG) method is presented. Cut cells are a fundamental aspect of …