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04/09/2023
Domain of Dependence stabilization for the acoustic wave equation on 2D cut-cell meshes
Cut-cell meshes are an attractive alternative to avoid common mesh gener...
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01/07/2023
DoD stabilization for higher-order advection in two dimensions
When solving time-dependent hyperbolic conservation laws on cut cell mes...
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01/06/2023
DoD Stabilization of linear hyperbolic PDEs on general cut-cell meshes
Standard numerical methods for hyperbolic PDEs require for stability a C...
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11/01/2022
Explicit-Implicit Domain Splitting for Two Phase Flows with Phase Transition
Two phase flows that include phase transition, especially phase creation...
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07/13/2021
Spontaneous Symmetry Breaking for Extreme Vorticity and Strain in the 3D Navier-Stokes Equations
We investigate the spatio-temporal structure of the most likely configur...
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07/08/2021
DoD Stabilization for non-linear hyperbolic conservation laws on cut cell meshes in one dimension
In this work, we present the Domain of Dependence (DoD) stabilization fo...
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12/26/2019
Monotonicity considerations for stabilized DG cut cell schemes for the unsteady advection equation
For solving unsteady hyperbolic conservation laws on cut cell meshes, th...
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06/13/2019