most citedImproved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations

10 citations · 34 across the 12 of their papers we have counts for

collaborators

12 papers

math.NA2025

A Discontinuous Galerkin Consistent Splitting Method for the Incompressible Navier-Stokes Equations

Dominik Still, Natalia Nebulishvili, Richard Schussnig +2

This work presents the discontinuous Galerkin discretization of the consistent splitting scheme proposed by Liu [J. Liu, J. Comp. Phys., 228(19), 2009]. The method enforces the div…

math.NA2025

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…

cs.CE2025

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…

math.NA2025

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead

Michał Wichrowski, Mohsen Rezaee-Hajidehi, Jože Korelc +2

This study explores matrix-free tangent evaluations in finite-strain elasticity with the use of automatically-generated code for the quadrature-point level calculations. The code g…

cs.CE2025★ 5 cited

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…

math.NA2024

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…

cs.CE2024★ 6 cited

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…

math.NA2024★ 5 cited

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…

math.NA2024★ 1 cited

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…

cs.CE2024★ 1 cited

A highly efficient computational approach for part-scale microstructure predictions in Ti-6Al-4V additive manufacturing

Sebastian D. Proell, Julian Brotz, Martin Kronbichler +2

Fast and efficient simulations of metal additive manufacturing (AM) processes are highly relevant to exploring the full potential of this promising manufacturing technique. The mic…

cs.CE2024★ 10 cited

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…

cs.CE2024★ 6 cited

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…