7 papers
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…
Justification of a Relaxation Approximation for the Navier-Stokes-Cahn-Hilliard System
Jan Giesselmann, Jens Keim, Fabio Leotta +1
The Navier-Stokes-Cahn-Hilliard (NSCH) system governs the diffuse-interface dynamics of two incompressible and immiscible fluids. We consider a relaxation approximation of the NSCH…
In-Memory Load Balancing for Discontinuous Galerkin Methods on Polytopal Meshes
Patrick Kopper, Anna Schwarz, Jens Keim +1
High-order accurate discontinuous Galerkin (DG) methods have emerged as powerful tools for solving partial differential equations such as the compressible Navier-Stokes equations d…
Entropy stable high-order discontinuous Galerkin spectral-element methods on curvilinear, hybrid meshes
Jens Keim, Anna Schwarz, Patrick Kopper +3
Hyperbolic-parabolic partial differential equations are widely used for the modeling of complex, multiscale problems. High-order methods such as the discontinuous Galerkin (DG) sch…
Comparison of Entropy Stable Collocation High-Order DG Methods for Compressible Turbulent Flows
Anna Schwarz, Daniel Kempf, Jens Keim +3
High-order methods are well-suited for the numerical simulation of complex compressible turbulent flows, but require additional stabilization techniques to capture instabilities ar…
Entropy stable shock capturing for high-order DGSEM on moving meshes
Anna Schwarz, Jens Keim, Christian Rohde +1
In this paper, a shock capturing for high-order entropy stable discontinuous Galerkin spectral element methods on moving meshes is proposed using Gauss--Lobatto nodes. The shock ca…