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Trimming is a core technique in geometric modeling. Unfortunately, the resulting objects do not take the requirements of numerical simulations into account and yield various problems. This paper outlines principal issues of trimmed models…

Graphics · Computer Science 2019-02-05 Benjamin Marussig

We review a scalable two- and three-dimensional computer code for low-temperature plasma simulations in multi-material complex geometries. Our approach is based on embedded boundary (EB) finite volume discretizations of the minimal…

Computational Physics · Physics 2019-05-01 Robert Marskar

Computational modelling offers a cost-effective and time-efficient alternative to experimental studies in biomedical engineering. In cardiac electro-mechanics, finite element method (FEM)-based simulations provide valuable insights into…

Computational Engineering, Finance, and Science · Computer Science 2025-08-20 Tan Tran , Denisa Martonova , Sigrid Leyendecker

Bottom-up coarse-grained (CG) modeling expands the spatial and temporal scales of molecular simulation by seeking a reduced, thermodynamically consistent representation of an atomistic model. Developments in CG theory have largely focused…

Chemical Physics · Physics 2025-03-28 Patrick G. Sahrmann , Gregory A. Voth

In this work, we introduce a new algorithm for N-to-M checkpointing in finite element simulations. This new algorithm allows efficient saving/loading of functions representing physical quantities associated with the mesh representing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-02 David A. Ham , Vaclav Hapla , Matthew G. Knepley , Lawrence Mitchell , Koki Sagiyama

A three-dimensional simulation model is proposed here to study the erosive wear of structure caused by solid particles, which accounts for the accumulation of surface deformation and degradation during the erosion process. Although there…

Fluid Dynamics · Physics 2025-03-04 Vinh D. X. Nguyen , A. Kiet Tieu , Damien Andre , Hongtao Zhu

Constructing computer-aided design (CAD) models is labor-intensive but essential for engineering and manufacturing. Recent advances in Large Language Models (LLMs) have inspired the LLM-based CAD generation by representing CAD as command…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Dacheng Qi , Chenyu Wang , Jingwei Xu , Tianzhe Chu , Zibo Zhao , Wen Liu , Wenrui Ding , Yi Ma , Shenghua Gao

The production of lightweight metal lattice structures has received much attention due to the recent developments in additive manufacturing (AM). The design flexibility comes, however, with the complexity of the underlying physics. In fact,…

Computational Engineering, Finance, and Science · Computer Science 2021-03-12 Nina Korshunova , Gianluca Alaimo , Seyyed Bahram Hosseini , Massimo Carraturo , Alessandro Reali , Jarkko Niiranen , Ferdinando Auricchio , Ernst Rank , Stefan Kollmannsberger

One of the major issues in the computational mechanics is to take into account the geometrical complexity. To overcome this difficulty and to avoid the expensive mesh generation, geometrically unfitted methods, i.e. the numerical methods…

Numerical Analysis · Mathematics 2021-10-12 Stephane Cotin , Michel Duprez , Vanessa Lleras , Alexei Lozinski , Killian Vuillemot

Implicit Neural Representations (INRs), characterized by neural network-encoded signed distance fields, provide a powerful means to represent complex geometries continuously and efficiently. While successful in computer vision and…

Computational Engineering, Finance, and Science · Computer Science 2025-07-09 Samundra Karki , Ming-Chen Hsu , Adarsh Krishnamurthy , Baskar Ganapathysubramanian

The present level of development of molecular force field methods is assessed from the point of view of simulation-based engineering, outlining the immediate perspective for further development and highlighting the newly emerging discipline…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-22 Martin Horsch , Christoph Niethammer , Jadran Vrabec , Hans Hasse

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

This paper proposes a strategy to solve the problems of the conventional s-version of finite element method (SFEM) fundamentally. Because SFEM can reasonably model an analytical domain by superimposing meshes with different spatial…

Numerical Analysis · Mathematics 2023-10-09 Nozomi Magome , Naoki Morita , Shigeki Kaneko , Naoto Mitsume

A composite quadric model (CQM) is an object modeled by piecewise linear or quadric patches. We study the continuous detection problem of a special type of CQM objects which are commonly used in CAD/CAM, that is, the boundary surfaces of…

Graphics · Computer Science 2013-12-02 Yi-King Choi , Wenping Wang , Bernard Mourrain , Changhe Tu , Xiaohong Jia , Feng Sun

CSG trees are an intuitive, yet powerful technique for the representation of geometry using a combination of Boolean set-operations and geometric primitives. In general, there exists an infinite number of trees all describing the same 3D…

Artificial Intelligence · Computer Science 2020-09-15 Markus Friedrich , Christoph Roch , Sebastian Feld , Carsten Hahn , Pierre-Alain Fayolle

Solid modeling is a technique underlying CAD software as we see it today, and its theories and algorithms are among the most fundamental milestones in the historical development of CAD. Basically, it has answered the question of what…

Graphics · Computer Science 2023-03-01 Qiang Zou

Topologically interlocking architectures can generate tough ceramics with attractive thermo-mechanical properties. This concept can make the material design pathway a challenging task, since modeling the whole design space is neither…

Computational Engineering, Finance, and Science · Computer Science 2023-05-22 Elham Kiyani , Hamidreza Yazdani Sarvestani , Hossein Ravanbakhsh , Razyeh Behbahani , Behnam Ashrafi , Meysam Rahmat , Mikko Karttunen

The immersed isogeometric Boundary Element Method is presented and applied to the simulation of underground excavations. Nonuniform rational B-splines (NURBS) are used for the accurate definition of complex geometries with few parameters.…

Numerical Analysis · Mathematics 2022-12-01 Gernot Beer , Christian Duenser

CFD-DEM is used to simulate solid-fluid systems. DEM models the motion of discrete particles while CFD models the fluid phase. Coupling both necessitates the calculation of the void fraction and the solid-fluid forces resulting in a…

Fluid Dynamics · Physics 2023-01-06 Toni El Geitani , Shahab Golshan , Bruno Blais

A simulation strategy based in the finite element model was developed to model the corrosion and mechanical properties of biodegradable Mg scaffolds manufactured by laser power bed fusion after immersion in simulated body fluid. Corrosion…

Applied Physics · Physics 2022-01-19 Mohammad Marvi-Mashhadi , Wahaaj Ali , Muzi Li , Carlos González , Javier LLorca
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