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We introduce two improvements in the numerical scheme to simulate collision and slow shearing of irregular particles. First, we propose an alternative approach based on simple relations to compute the frictional contact forces. The approach…

Materials Science · Physics 2011-03-15 Andres A. Pena , Pedro G. Lind , Hans J. Herrmann

Surface crack segmentation poses a challenging computer vision task as background, shape, colour and size of cracks vary. In this work we propose optimized deep encoder-decoder methods consisting of a combination of techniques which yield…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Jacob König , Mark Jenkins , Mike Mannion , Peter Barrie , Gordon Morison

Within this work, we present a novel approach to fracture simulations based on shape optimization techniques. Contrary to widely-used phase-field approaches in literature the proposed method does not require a specified 'length-scale'…

Optimization and Control · Mathematics 2025-04-01 Tim Suchan , Kathrin Welker , Winnifried Wollner

This paper describes the isothermal die swell using our recent quasi-1D model for fast (high Deborah number) contraction flows of polymers melts. Because the model analyzes the flow in several flow regions as one continuous process, it…

Fluid Dynamics · Physics 2007-05-23 Jae-Hyeuk Jeong , Arkady I. Leonov

This work introduces an automated ply partitioning strategy for large-scale laminar composite manufacturing. It specifically targets the problem of fabricating large plies from available spooled materials, while minimizing the adverse…

Optimization and Control · Mathematics 2025-02-10 Eric Garner , Amir Mirzendehdel

Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures favor algorithms that expose ultra fine-grain parallelism and maximize the ratio of…

We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation of surfactant mass; 2) the possibility of having meshes that…

Numerical Analysis · Mathematics 2022-11-30 Thomas Frachon , Sara Zahedi

Heat transfer simulations of the fused filament fabrication process are an important tool to predict bonding, residual stresses and strength of 3D printed parts. But in order to capture the significant thermal gradients that occur in the…

Computational Engineering, Finance, and Science · Computer Science 2023-05-08 Nathalie Ramos , Christoph Mittermeier , Josef Kiendl

Particle dampers represent a simple yet effective means to reduce unwanted oscillations when attached to structural components. Powder bed fusion additive manufacturing of metals allows to integrate particle inclusions of arbitrary shape,…

Computational Engineering, Finance, and Science · Computer Science 2023-02-17 Patrick M. Praegla , Thomas Mair , Andreas Wimmer , Sebastian L. Fuchs , Niklas Fehn , Michael F. Zaeh , Wolfgang A. Wall , Christoph Meier

This study presents an adaptive coupling peridynamic least-square minimization with the finite element method (PDLSM-FEM) for fracture analysis. The presented method utilizes the PDLSM modeling discontinuities while maximizing the FEM…

Numerical Analysis · Mathematics 2022-06-22 Qibang Liu , X. J. Xin , Jeff Ma

The analysis and the simulation of fluid extruded out of a die opening are of great importance in different industrial applications. Mathematical modeling and experimental studies of extrusion out of a constant die gap has been the subject…

Fluid Dynamics · Physics 2019-10-24 Raffi Garabet Toukhtarian

A class of algorithms for the solution of discrete material optimization problems in electromagnetic applications is discussed. The idea behind the algorithm is similar to that of the sequential programming. However, in each major iteration…

Optimization and Control · Mathematics 2017-07-14 Johannes Semmler , Lukas Pflug , Michael Stingl

We show how two-dimensional mixed finite element methods that satisfy the conditions of finite element exterior calculus can be used for the horizontal discretisation of dynamical cores for numerical weather prediction on pseudo-uniform…

Numerical Analysis · Mathematics 2015-05-27 C. J. Cotter , J. Shipton

We propose a novel optimization framework for computing the medial axis transform that simultaneously preserves the medial structure and ensures high medial mesh quality. The medial structure, consisting of interconnected sheets, seams, and…

Graphics · Computer Science 2025-10-14 Ningna Wang , Rui Xu , Yibo Yin , Zichun Zhong , Taku Komura , Wenping Wang , Xiaohu Guo

The classical continuous mixed formulation of linear elasticity with pointwise symmetric stresses allows for a conforming finite element discretization with piecewise polynomials of degree at least three. Symmetric stress approximations of…

Numerical Analysis · Mathematics 2025-03-17 Carsten Carstensen , Norbert Heuer

The increasing demand for larger and higher fidelity simulations has made Adaptive Mesh Refinement (AMR) and unstructured mesh techniques essential to focus compute effort and memory cost on just the areas of interest in the simulation…

Graphics · Computer Science 2025-01-23 Xuan Huang , Will Usher , Valerio Pascucci

Spaces where each element describes a shape, so-called shape spaces, are of particular interest in shape optimization and its applications. Theory and algorithms in shape optimization are often based on techniques from differential…

Optimization and Control · Mathematics 2025-04-01 Lidiya Pryymak , Tim Suchan , Kathrin Welker

This paper describes a novel method of generating hex-dominant meshes using pre-computed optimal subdivisions of the unit cube in a grid-based approach. Our method addresses geometries that are standard in mechanical engineering and often…

Computational Geometry · Computer Science 2023-07-19 Henrik Stromberg , Valentin Mayer-Eichberger , Armin Lohrengel

Spherical $t$-designs on $\mathbb{S}^{d}\subset\mathbb{R}^{d+1}$ provide $N$ nodes for an equal weight numerical integration rule which is exact for all spherical polynomials of degree at most $t$. This paper considers the generation of…

Numerical Analysis · Mathematics 2017-09-07 Robert S. Womersley

We propose a novel approach to approximate numerically shock waves. The method combines the unstructured shock-fitting approach developed in the last decade by some of the authors, with ideas coming from embedded boundary techniques. The…

Numerical Analysis · Mathematics 2024-02-22 Mirco Ciallella , Mario Ricchiuto , Renato Paciorri , Aldo Bonfiglioli