Deep reinforcement learning for adaptive mesh refinement

C Foucart, A Charous, PFJ Lermusiaux - Journal of Computational Physics, 2023 - Elsevier
Finite element discretizations of problems in computational physics often rely on adaptive
mesh refinement (AMR) to preferentially resolve regions containing important features …

A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow

B Krank, N Fehn, WA Wall, M Kronbichler - Journal of Computational …, 2017 - Elsevier
We present an efficient discontinuous Galerkin scheme for simulation of the incompressible
Navier–Stokes equations including laminar and turbulent flow. We consider a semi-explicit …

Design of a Smagorinsky spectral vanishing viscosity turbulence model for discontinuous Galerkin methods

J Manzanero, E Ferrer, G Rubio, E Valero - Computers & Fluids, 2020 - Elsevier
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 …

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 discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence

R Masri, C Liu, B Riviere - Mathematics of Computation, 2022 - ams.org
A discontinuous Galerkin pressure correction numerical method for solving the
incompressible Navier–Stokes equations is formulated and analyzed. We prove …

Robust and efficient discontinuous Galerkin methods for under-resolved turbulent incompressible flows

N Fehn, WA Wall, M Kronbichler - Journal of Computational Physics, 2018 - Elsevier
We present a robust and accurate discretization approach for incompressible turbulent flows
based on high-order discontinuous Galerkin methods. The DG discretization of the …

A semi‐automatic method for block‐structured hexahedral meshing of aortic dissections

D Bošnjak, A Pepe, R Schussnig… - … Journal for Numerical …, 2024 - Wiley Online Library
The article presents a semi‐automatic approach to generating structured hexahedral
meshes of patient‐specific aortas ailed by aortic dissection. The condition manifests itself as …

Efficiency of high‐performance discontinuous Galerkin spectral element methods for under‐resolved turbulent incompressible flows

N Fehn, WA Wall, M Kronbichler - International Journal for …, 2018 - Wiley Online Library
The present paper addresses the numerical solution of turbulent flows with high‐order
discontinuous Galerkin methods for discretizing the incompressible Navier‐Stokes …

High‐order DG solvers for underresolved turbulent incompressible flows: A comparison of L2 and H(div) methods

N Fehn, M Kronbichler, C Lehrenfeld… - … Methods in Fluids, 2019 - Wiley Online Library
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 …