4 papers
Domain of Dependence stabilization for the acoustic wave equation on 2D cut-cell meshes
Gunnar Birke, Christian Engwer, Sandra May +1
Cut-cell meshes are an attractive alternative to avoid common mesh generation problems. For hyperbolic problems they pose additional challenges, as elements can become arbitrarily…
DoD stabilization for higher-order advection in two dimensions
Florian Streitbürger, Gunnar Birke, Christian Engwer +1
When solving time-dependent hyperbolic conservation laws on cut cell meshes one has to overcome the small cell problem: standard explicit time stepping is not stable on small cut c…
DoD Stabilization for non-linear hyperbolic conservation laws on cut cell meshes in one dimension
Sandra May, Florian Streitbürger
In this work, we present the Domain of Dependence (DoD) stabilization for systems of hyperbolic conservation laws in one space dimension. The base scheme uses a method of lines app…
Monotonicity considerations for stabilized DG cut cell schemes for the unsteady advection equation
Florian Streitbürger, Christian Engwer, Sandra May +1
For solving unsteady hyperbolic conservation laws on cut cell meshes, the so called small cell problem is a big issue: one would like to use a time step that is chosen with respect…