Fast matrix-free evaluation of discontinuous Galerkin finite element operators

M Kronbichler, K Kormann - ACM Transactions on Mathematical …, 2019 - dl.acm.org
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 …

Investigation of aspect ratio effects on flow characteristics and vorticity generation in shock-induced rectangular bubble

S Singh - European Journal of Mechanics-B/Fluids, 2023 - Elsevier
Abstract In shock-induced Richtmyer–Meshkov instability, the polygonal bubbles, including
the rectangular interface can offer favorable circumstances for shock refraction research …

An interior penalty stabilised incompressible discontinuous Galerkin–Fourier solver for implicit large eddy simulations

E Ferrer - Journal of Computational Physics, 2017 - Elsevier
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 …

Direct Numerical Simulation of Flow over Periodic Hills up to

B Krank, M Kronbichler, WA Wall - Flow, turbulence and combustion, 2018 - Springer
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 …

[PDF][PDF] ExaDG: High-order discontinuous Galerkin for the exa-scale

D Arndt, N Fehn, G Kanschat, K Kormann… - Software for exascale …, 2020 - library.oapen.org
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 …

A weakly compressible hybridizable discontinuous Galerkin formulation for fluid–structure interaction problems

A La Spina, M Kronbichler, M Giacomini… - Computer Methods in …, 2020 - Elsevier
A scheme for the solution of fluid–structure interaction (FSI) problems with weakly
compressible flows is proposed in this work. A novel hybridizable discontinuous Galerkin …

SPECFEM2D-DG, an open-source software modelling mechanical waves in coupled solid–fluid systems: the linearized Navier–Stokes approach

L Martire, R Martin, Q Brissaud… - Geophysical Journal …, 2022 - academic.oup.com
SUMMARY We introduce SPECFEM2D-DG, an open-source, time-domain, hybrid Galerkin
software modelling the propagation of seismic and acoustic waves in coupled solid–fluid …

Hybrid multigrid methods for high-order discontinuous Galerkin discretizations

N Fehn, P Munch, WA Wall, M Kronbichler - Journal of Computational …, 2020 - Elsevier
The present work develops hybrid multigrid methods for high-order discontinuous Galerkin
discretizations of elliptic problems, which are, for example, a key ingredient of …

Modal discontinuous Galerkin simulations of Richtmyer–Meshkov instability at backward-triangular bubbles: Insights and analysis

SS Alsaeed, S Singh - Mathematics, 2024 - mdpi.com
This paper investigates the dynamics of Richtmyer–Meshkov instability (RMI) in shocked
backward-triangular bubbles through numerical simulations. Two distinct gases, He and SF …

An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media

C Liu, F Frank, C Thiele, FO Alpak, S Berg… - Journal of …, 2020 - Elsevier
Two-phase flow with viscosity contrast at the pore scale is modeled by a time-dependent
Cahn–Hilliard–Navier–Stokes model and belongs to the class of diffuse interface method …