Over the last years, supervised learning (SL) has established itself as the state-of-the-art for
data-driven turbulence modeling. In the SL paradigm, models are trained based on a …

In this paper we will review a recent emerging paradigm shift in the construction and
analysis of high order Discontinuous Galerkin methods applied to approximate solutions of …

The purpose of this work is to propose a novel a posteriori finite volume subcell limiter
technique for the Discontinuous Galerkin finite element method for nonlinear systems of …

This paper shows that the discontinuous Galerkin collocation spectral element method with
Gauss--Lobatto points (DGSEM-GL) satisfies the discrete summation-by-parts (SBP) …

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 …

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 investigate the accuracy and efficiency of discontinuous Galerkin spectral
method simulations of under‐resolved transitional and turbulent flows at moderate Reynolds …

The main result in this paper is a provably entropy stable shock capturing approach for the
high order entropy stable Discontinuous Galerkin Spectral Element Method (DGSEM) based …

In this paper, we investigate the accuracy of a high-order discontinuous Galerkin
discretization for the coarse resolution simulation of turbulent flow. We show that a low-order …

In this work we consider a special implementation of a discontinuous Galerkin (DG) method
for general unstructured hexahedral element meshes called the discontinuous Galerkin …