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math.NA2025

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…

math.NA2025

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…

physics.flu-dyn2025

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…

cs.LG2025

Invariant Control Strategies for Active Flow Control using Graph Neural Networks

Marius Kurz, Rohan Kaushik, Marcel Blind +4

Reinforcement learning has gained traction for active flow control tasks, with initial applications exploring drag mitigation via flow field augmentation around a two-dimensional c…

physics.comp-ph2025

Efficient computation of particle-fluid and particle-particle interactions in compressible flow

Anna Schwarz, Patrick Kopper, Emilian De Staercke +1

Particle collisions are the primary mechanism of inter-particle momentum and energy exchange for dense particle-laden flow. Accurate approximation of this collision operator in fou…