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 …

In this paper, we present h-and hp-adaptive strategies suited for the discontinuous Galerkin
formulation of the compressible laminar and Reynolds-averaged Navier–Stokes equations …

In the last decade, there has been a lot of interest in developing high-order methods as a
viable option for unsteady scale-resolving-simulations which are increasingly important in …

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 …

The second paper of this series presents two robust entropy stable shock-capturing methods
for discontinuous Galerkin spectral element (DGSEM) discretizations of the compressible …

The present work develops hybrid multigrid methods for high-order discontinuous Galerkin
discretizations of elliptic problems, which are, for example, a key ingredient of …

Mesh quality is critical for the numerical accuracy of CFD (Computational Fluid Dynamics).
Although various techniques have been developed to improve mesh applicability to complex …

In this paper, we present an entropy-stable Gauss collocation discontinuous Galerkin (DG)
method on 3D curvilinear meshes for the GLM-MHD equations: the single-fluid magneto …

We develop and analyze error estimators and mesh adaptation strategies within a
discontinuous Galerkin formulation. The basic idea of the study is to reduce the …