We present the latest developments of our High-Order Spectral Element Solver (Image 1),
an open source high-order discontinuous Galerkin framework, capable of solving a variety of …

High order discontinuous Galerkin methods allow accurate solutions through the use of high
order polynomials inside each mesh element. Increasing the polynomial order leads to high …

We propose to accelerate a high order discontinuous Galerkin solver using neural networks.
We include a corrective forcing to a low polynomial order simulation to enhance its accuracy …

We present an implicit Large Eddy Simulation (iLES) h/p high order (≥ 2) unstructured
Discontinuous Galerkin–Fourier solver with sliding meshes. The solver extends the laminar …

This paper presents an analysis of refinement indicators for the simulation of steady and
unsteady flows by means of p-adaptive algorithms for discontinuous Galerkin (DG) methods …

We present a new closure model for Large Eddy Simulation to introduce dissipation in under–
resolved turbulent simulation using discontinuous Galerkin (DG) schemes applied to the …

High-order discontinuous Galerkin methods have become a popular technique in
computational fluid dynamics because their accuracy increases spectrally in smooth …

We analyse instabilities due to aliasing errors when solving one dimensional non-constant
advection speed equations and discuss means to alleviate these types of errors when using …

In this work, local p-adaptation strategies for high order discontinuous Galerkin spectral
element methods are compared. The principal aim of the paper is to determine the …

Taking insight from the theory of general relativity, where space and time are treated on the
same footing, we develop a novel geometric variational discretization for second order initial …