45 citations · 87 across the 24 of their papers we have counts for
26 papers
ADER-ZIST - a mixed explicit ADER-DG and zonally implicit space-time DG approach for Cartesian cut cell meshes
Michael Dumbser, Christian Engwer, Sandra May +1
We present high order accurate mixed explicit-implicit discontinuous Galerkin (DG) schemes for the solution of hyperbolic systems of conservation laws on Cartesian cut cell meshes.…
High-order stabilized matrix-free simulation of rotating mixing devices using the Mortar Element Method
B. Campos, P. Munch, V. O. Ferreira +3
We present a finite element framework to simulate rotating mixing devices using the Mortar Element Method as a domain decomposition strategy. The model is implemented within a matr…
Solving the (Navier-)Stokes equations with space and time adaptivity using deal.II
Peter Munch, Marc Fehling, Martin Kronbichler +2
In this article, we solve the Stokes and Navier-Stokes equations with the dealII finite-element library. In particular, we use its multigrid, adaptive-mesh, and matrix-free infr…
Eigenvalue-based Linear Stability Analysis of Intrinsic Instabilities in Laminar Flames
Thomas Ludwig Kaiser, Peter Munch, Sandra May +1
Intrinsic instabilities of laminar premixed flames play an important role in the dynamics of hydrogen combustion and in the development of predictive models for reacting flows. How…
Revisiting the Slip Boundary Condition: Surface Roughness as a Hidden Tuning Parameter
Matthias Maier, Peter Munch, Murtazo Nazarov
In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions fur…
An hp Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations
Nils Margenberg, Markus Bause, Peter Munch
We present a monolithic space-time multigrid method for tensor-product space-time finite element discretizations of the Stokes equations. Geometric and polynomial coarsening o…
Super-Localized Orthogonal Decomposition Method for Heterogeneous Linear Elasticity
Camilla Belponer, José C. Garay, Peter Munch +1
We present the Super-Localized Orthogonal Decomposition (SLOD) method for the numerical homogenization of linear elasticity problems with multiscale microstructures modeled by a he…
A consistent diffuse-interface finite element approach to rapid melt--vapor dynamics with application to metal additive manufacturing
Magdalena Schreter-Fleischhacker, Nils Much, Peter Munch +3
Metal additive manufacturing via laser-based powder bed fusion (PBF-LB/M) faces performance-critical challenges due to complex melt pool and vapor dynamics, often oversimplified by…
Matrix-free implementation of the non-nested multigrid method
Marco Feder, Luca Heltai, Martin Kronbichler +1
Traditionally, the geometric multigrid method is used with nested levels. However, the construction of a suitable hierarchy for very fine and unstructured grids is, in general, hig…
Fairness measures for biometric quality assessment
André Dörsch, Torsten Schlett, Peter Munch +2
Quality assessment algorithms measure the quality of a captured biometric sample. Since the sample quality strongly affects the recognition performance of a biometric system, it is…
A Space-Time Multigrid Method for Space-Time Finite Element Discretizations of Parabolic and Hyperbolic PDEs
Nils Margenberg, Peter Munch
We present a space-time multigrid method based on tensor-product space-time finite element discretizations. The method is facilitated by the matrix-free capabilities of the {\ttfam…
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…
Smoothers with localized residual computations for geometric multigrid methods
Michał Wichrowski, Peter Munch, Martin Kronbichler +1
We improve the performance of multigrid solvers on many-core architectures with cache hierarchies by reorganizing operations in the smoothing step to minimize memory transfers. We…
High-performance matrix-free unfitted finite element operator evaluation
Maximilian Bergbauer, Peter Munch, Wolfgang A. Wall +1
Unfitted finite element methods, like CutFEM, have traditionally been implemented in a matrix-based fashion, where a sparse matrix is assembled and later applied to vectors while s…
Improved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations
Nils Much, Magdalena Schreter-Fleischhacker, Peter Munch +3
Computational modeling of the melt pool dynamics in laser-based powder bed fusion metal additive manufacturing (PBF-LB/M) promises to shed light on fundamental mechanisms of defect…
A consistent diffuse-interface model for two-phase flow problems with rapid evaporation
Magdalena Schreter-Fleischhacker, Peter Munch, Nils Much +3
We present accurate and mathematically consistent formulations of a diffuse-interface model for two-phase flow problems involving rapid evaporation. The model addresses challenges…
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…
High-Order Non-Conforming Discontinuous Galerkin Methods for the Acoustic Conservation Equations
Johannes Heinz, Peter Munch, Manfred Kaltenbacher
This work compares two Nitsche-type approaches to treat non-conforming triangulations for a high-order discontinuous Galerkin (DG) solver for the acoustic conservation equations. T…
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…
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…
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…