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math.NA2026
h-Adaptive FV Subcell Shock-Capturing for DGSEM on Heterogeneous Curvilinear Meshes
Anna Schwarz, Jens Keim, Christian Rohde +1
High-order methods offer superior dispersion and dissipation properties compared to low-order schemes but require robust stabilization for discontinuities. To ensure stability, loc…
math.NA2024
Numerical Simulation of Phase Transition with the Hyperbolic Godunov-Peshkov-Romenski Model
Pascal Mossier, Steven Jöns, Simone Chiocchetti +2
In this paper, a thermodynamically consistent solution of the interfacial Riemann problem for the first-order hyperbolic continuum model of Godunov, Peshkov and Romenski (GPR model…
math.NA2018
-Multilevel Monte Carlo Methods for Uncertainty Quantification of Compressible Flows
A. Beck, J. Dürrwächter, T. Kuhn +3
We propose a novel -multilevel Monte Carlo method for the quantification of uncertainties in the compressible Navier-Stokes equations, using the Discontinuous Galerkin method a…