80 citations · 365 across the 16 of their papers we have counts for
16 papers
Matrix-Free Evaluation Strategies for Continuous and Discontinuous Galerkin Discretizations on Unstructured Tetrahedral Grids
Dominik Still, Niklas Fehn, Wolfgang A. Wall +1
This study presents novel strategies for improving the node-level performance of matrix-free evaluation of continuous and discontinuous Galerkin spatial discretizations on unstruct…
Higher-Order Discontinuous Galerkin Splitting Schemes for Fluids with Variable Viscosity
Richard Schussnig, Niklas Fehn, Douglas Ramalho Queiroz Pacheco +1
This article investigates matrix-free higher-order discontinuous Galerkin discretizations of the Navier--Stokes equations for incompressible flows with variable viscosity. The visc…
Matrix-Free Higher-Order Finite Element Methods for Hyperelasticity
Richard Schussnig, Niklas Fehn, Peter Munch +1
This work presents a matrix-free finite element solver for finite-strain elasticity adopting an -multigrid preconditioner. Compared to classical algorithms relying on a global…
Towards Additively Manufactured Metamaterials with Powder Inclusions for Controllable Dissipation: The Critical Influence of Packing Density
Patrick M. Praegla, Thomas Mair, Andreas Wimmer +5
Particle dampers represent a simple yet effective means to reduce unwanted oscillations when attached to structural components. Powder bed fusion additive manufacturing of metals a…
Numerical evidence of anomalous energy dissipation in incompressible Euler flows: Towards grid-converged results for the inviscid Taylor-Green problem
Niklas Fehn, Martin Kronbichler, Peter Munch +1
Providing evidence of finite-time singularities of the incompressible Euler equations in three space dimensions is still an unsolved problem. Likewise, the zeroth law of turbulence…
High-order arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the incompressible Navier-Stokes equations
Niklas Fehn, Johannes Heinz, Wolfgang A. Wall +1
This paper presents robust discontinuous Galerkin methods for the incompressible Navier-Stokes equations on moving meshes. High-order accurate arbitrary Lagrangian-Eulerian formula…
A Generalized Probabilistic Learning Approach for Multi-Fidelity Uncertainty Propagation in Complex Physical Simulations
Jonas Nitzler, Jonas Biehler, Niklas Fehn +2
Two of the most significant challenges in uncertainty quantification pertain to the high computational cost for simulating complex physical models and the high dimension of the ran…
Hybrid multigrid methods for high-order discontinuous Galerkin discretizations
Niklas Fehn, Peter Munch, Wolfgang A. Wall +1
The present work develops hybrid multigrid methods for high-order discontinuous Galerkin discretizations of elliptic problems. Fast matrix-free operator evaluation on tensor produc…
A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators
Martin Kronbichler, Katharina Kormann, Niklas Fehn +2
This work proposes a basis for improved throughput of matrix-free evaluation of discontinuous Galerkin symmetric interior penalty discretizations on hexahedral elements. The basis…
High-order DG solvers for under-resolved turbulent incompressible flows: A comparison of and (div) methods
Niklas Fehn, Martin Kronbichler, Christoph Lehrenfeld +2
The accurate numerical simulation of turbulent incompressible flows is a challenging topic in computational fluid dynamics. For discretisation methods to be robust in the under-res…
Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model
Niklas Fehn, Wolfgang A. Wall, Martin Kronbichler
This work uses high-order discontinuous Galerkin discretization techniques as a generic, parameter-free, and reliable tool to accurately predict transitional and turbulent flows th…
A matrix-free high-order discontinuous Galerkin compressible Navier-Stokes solver: A performance comparison of compressible and incompressible formulations for turbulent incompressible flows
Niklas Fehn, Wolfgang A. Wall, Martin Kronbichler
Both compressible and incompressible Navier-Stokes solvers can be used and are used to solve incompressible turbulent flow problems. In the compressible case, the Mach number is th…
Efficiency of high-performance discontinuous Galerkin spectral element methods for under-resolved turbulent incompressible flows
Niklas Fehn, Wolfgang A. Wall, Martin Kronbichler
The present paper addresses the numerical solution of turbulent flows with high-order discontinuous Galerkin methods for discretizing the incompressible Navier-Stokes equations. Th…
Robust and efficient discontinuous Galerkin methods for under-resolved turbulent incompressible flows
Niklas Fehn, Wolfgang A Wall, Martin Kronbichler
We present a robust and accurate discretization approach for incompressible turbulent flows based on high-order discontinuous Galerkin methods. The DG discretization of the incompr…
On the stability of projection methods for the incompressible Navier-Stokes equations based on high-order discontinuous Galerkin discretizations
Niklas Fehn, Wolfgang A. Wall, Martin Kronbichler
The present paper deals with the numerical solution of the incompressible Navier-Stokes equations using high-order discontinuous Galerkin (DG) methods for discretization in space.…
A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow
Benjamin Krank, Niklas Fehn, Wolfgang A. Wall +1
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…