20 citations · 22 across the 11 of their papers we have counts for
14 papers
ADER-ZIST - a mixed explicit ADER-DG and zonally implicit space-time DG approach for Cartesian cut cell meshes
Michael Dumbser, Christian Engwer, Sandra May +1
We present high order accurate mixed explicit-implicit discontinuous Galerkin (DG) schemes for the solution of hyperbolic systems of conservation laws on Cartesian cut cell meshes.…
Eigenvalue-based Linear Stability Analysis of Intrinsic Instabilities in Laminar Flames
Thomas Ludwig Kaiser, Peter Munch, Sandra May +1
Intrinsic instabilities of laminar premixed flames play an important role in the dynamics of hydrogen combustion and in the development of predictive models for reacting flows. How…
On the consistency of the Domain of Dependence cut cell stabilization
Gunnar Birke, Christian Engwer, Jan Giesselmann +1
So called cartesian cut cell meshes provide efficient ways to generate meshes but do require tailored numerical methods to not suffer from stabilization issues, especially in the h…
An Energy-Preserving Domain of Dependence Stabilization for the Linear Wave Equation on Cut-Cell Meshes
Gunnar Birke, Christian Engwer, Sandra May +2
We present an energy-preserving (either energy-conservative or energy-dissipative) domain of dependence stabilization method for the linear wave equation on cut-cell meshes. Our sc…
Error analysis of a first-order DoD cut cell method for 2D unsteady advection
Gunnar Birke, Christian Engwer, Jan Giesselmann +1
In this work we present an a priori error analysis for solving the unsteady advection equation on cut cell meshes along a straight ramp in two dimensions. The space discretization…
Accuracy analysis for explicit-implicit finite volume schemes on cut cell meshes
Sandra May, Fabian Laakmann
The solution of time-dependent hyperbolic conservation laws on cut cell meshes causes the small cell problem: standard schemes are not stable on the arbitrarily small cut cells if…