324 citations · 1.1k across the 33 of their papers we have counts for
33 papers
A highly efficient computational framework for fast scan-resolved simulations of metal additive manufacturing processes on the scale of real parts
Sebastian D. Proell, Peter Munch, Martin Kronbichler +2
This article proposes a novel high-performance computing approach for the prediction of the temperature field in powder bed fusion (PBF) additive manufacturing processes. In contra…
Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit
Peter Munch, Ivo Dravins, Martin Kronbichler +1
We present an implementation of a fully stage-parallel preconditioner for Radau IIA type fully implicit Runge--Kutta methods, which approximates the inverse of from the Butch…
Enhancing data locality of the conjugate gradient method for high-order matrix-free finite-element implementations
Martin Kronbichler, Dmytro Sashko, Peter Munch
This work investigates a variant of the conjugate gradient (CG) method and embeds it into the context of high-order finite-element schemes with fast matrix-free operator evaluation…
Efficient distributed matrix-free multigrid methods on locally refined meshes for FEM computations
Peter Munch, Timo Heister, Laura Prieto Saavedra +1
This work studies three multigrid variants for matrix-free finite-element computations on locally refined meshes: geometric local smoothing, geometric global coarsening, and polyno…
Lethe-DEM : An open-source parallel discrete element solver with load balancing
Shahab Golshan, Peter Munch, Rene Gassmoller +2
Approximately of the raw material and of the products in the chemical industry are granular materials. The Discrete Element Method (DEM) provides detailed insights…
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations
Jean-Luc Guermond, Martin Kronbichler, Matthias Maier +2
This paper describes in detail the implementation of a finite element technique for solving the compressible Navier-Stokes equations that is provably robust and demonstrates excell…
A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems
Andrea La Spina, Martin Kronbichler, Matteo Giacomini +2
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 (HDG) m…
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…
Scalability of High-Performance PDE Solvers
Paul Fischer, Misun Min, Thilina Rathnayake +8
Performance tests and analyses are critical to effective HPC software development and are central components in the design and implementation of computational algorithms for achiev…
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…
hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations
Peter Munch, Katharina Kormann, Martin Kronbichler
This work presents the efficient, matrix-free finite-element library hyper.deal for solving partial differential equations in two to six dimensions with high-order discontinuous Ga…
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…
The deal.II finite element library: design, features, and insights
Daniel Arndt, Wolfgang Bangerth, Denis Davydov +7
deal.II is a state-of-the-art finite element library focused on generality, dimension-independent programming, parallelism, and extensibility. Herein, we outline its primary design…
Propagating geometry information to finite element computations
Luca Heltai, Wolfgang Bangerth, Martin Kronbichler +1
The traditional workflow in continuum mechanics simulations is that a geometry description -- for example obtained using Constructive Solid Geometry or Computer Aided Design tools…
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…
Algorithms and data structures for matrix-free finite element operators with MPI-parallel sparse multi-vectors
Denis Davydov, Martin Kronbichler
Traditional solution approaches for problems in quantum mechanics scale as , where is the number of electrons. Various methods have been proposed to address th…
A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid
Denis Davydov, Jean-Paul Pelteret, Daniel Arndt +1
The performance of finite element solvers on modern computer architectures is typically memory bound for sufficiently large problems. The main cause for this is that loading matrix…
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…
A hybridizable discontinuous Galerkin method for electromagnetics with a view on subsurface applications
Luca Berardocco, Martin Kronbichler, Volker Gravemeier
Two Hybridizable Discontinuous Galerkin (HDG) schemes for the solution of Maxwell's equations in the time domain are presented. The first method is based on an electromagnetic diff…
A Flexible, Parallel, Adaptive Geometric Multigrid method for FEM
Thomas C. Clevenger, Timo Heister, Guido Kanschat +1
We present the design and implementation details of a geometric multigrid method on adaptively refined meshes for massively parallel computations. The method uses local smoothing o…
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…
Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves
Svenja Schoeder, Katharina Kormann, Wolfgang Wall +1
This work presents algorithms for the efficient implementation of discontinuous Galerkin methods with explicit time stepping for acoustic wave propagation on unstructured meshes of…
Effective slip over partially filled microcavities and its possible failure
Zhouyang Ge, Hanna Holmgren, Martin Kronbichler +2
Motivated by the emerging applications of liquid-infused surfaces (LIS), we study the drag reduction and robustness of transverse flows over two-dimensional microcavities partially…