The development of NekRS, a GPU-oriented thermal-fluids simulation code based on the
spectral element method (SEM) is described. For performance portability, the code is based …

We present an algorithmic framework for matrix-free evaluation of discontinuous Galerkin
finite element operators. It relies on fast quadrature with sum factorization on quadrilateral …

This article presents matrix-free finite-element techniques for efficiently solving partial
differential equations on modern many-core processors, such as graphics cards. We …

Nek5000/RS, a highly-performant open-source spectral element code, has recently
achieved an unprecedented milestone in the simulation of nuclear reactors: the first full core …

We present fully resolved computations of flow over periodic hills at the hill-Reynolds
numbers Re H= 5, 600 Re_H=5,600 and Re H= 10, 595 Re_H=10,595 with the highest …

This text presents contributions to efficient high-order finite element solvers in the context of
the project ExaDG, part of the DFG priority program 1648 Software for Exascale Computing …

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

We present a robust and accurate discretization approach for incompressible turbulent flows
based on high-order discontinuous Galerkin methods. The DG discretization of the …

The accurate numerical simulation of turbulent incompressible flows is a challenging topic in
computational fluid dynamics. For discretisation methods to be robust in the underresolved …

We examine large-eddy-simulation modeling approaches and computational performance
of two open-source computational fluid dynamics codes for the simulation of atmospheric …