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Explicit-Implicit Domain Splitting for Two Phase Flows with Phase Transition
Sandra May, Ferdinand Thein
Two phase flows that include phase transition, especially phase creation, with a sharp interface remain a challenging task for numerics. We consider the isothermal Euler equations…
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…
A stabilized DG cut cell method for discretizing the linear transport equation
Christian Engwer, Sandra May, Andreas Nüßing +1
We present new stabilization terms for solving the linear transport equation on a cut cell mesh using the discontinuous Galerkin (DG) method in two dimensions with piecewise linear…