347 citations · 520 across the 6 of their papers we have counts for
6 papers
Arbitrary Order Solutions for the Eikonal Equation using a Discontinuous Galerkin Method
David Flad, Aniruddhe Pradhan, Scott Murman
We provide a method to compute the entropy-satisfying weak solution to the eikonal equation in an arbitrary-order polynomial space. The method uses an artificial viscosity approach…
A Neural Network based Shock Detection and Localization Approach for Discontinuous Galerkin Methods
Andrea D. Beck, Jonas Zeifang, Anna Schwarz +1
The stable and accurate approximation of discontinuities such as shocks on a finite computational mesh is a challenging task. Detection of shocks or strong discontinuities in the f…
FLEXI: A high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws
Nico Krais, Andrea Beck, Thomas Bolemann +8
High order (HO) schemes are attractive candidates for the numerical solution of multiscale problems occurring in fluid dynamics and related disciplines. Among the HO discretization…
A large eddy simulation method for DGSEM using non-linearly optimized relaxation filters
David G Flad, Andrea D Beck, Philipp Guthke
In this paper, we apply a specifically designed dissipative spatial filter as sub-grid scale model within the increasingly popular discontinuous Galerkin methods and the closely re…
Deep Neural Networks for Data-Driven Turbulence Models
Andrea D. Beck, David G. Flad, Claus-Dieter Munz
In this work, we present a novel data-based approach to turbulence modelling for Large Eddy Simulation (LES) by artificial neural networks. We define the exact closure terms includ…
On the use of kinetic energy preserving DG-schemes for large eddy simulation
David Flad, Gregor J. Gassner
High Order DG methods with Riemann solver based interface numerical flux functions offer an interesting dispersion dissipation behaviour: dispersion errors are very low for a broad…