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Entropic lattice Boltzmann methods have been developed to alleviate intrinsic stability issues of lattice Boltzmann models for under-resolved simulations. Its reliability in combination with moving objects was established for various…

Fluid Dynamics · Physics 2017-06-21 B. Dorschner , S. S. Chikatamarla , I. V. Karlin

This work develops an algorithm for PDE-constrained shape optimization based on Lipschitz transformations. Building on previous work in this field, the $p$-Laplace operator is utilized to approximate a descent method for Lipschitz shapes.…

Optimization and Control · Mathematics 2023-04-24 Peter Marvin Müller , Jose Pinzon , Thomas Rung , Martin Siebenborn

The work provides an exhaustive comparison of some representative families of topology optimization methods for 3D structural optimization, such as the Solid Isotropic Material with Penalization (SIMP), the Level-set, the Bidirectional…

Computational Engineering, Finance, and Science · Computer Science 2021-08-09 Daniel Yago , Juan Cante , Oriol Lloberas-Valls , Javier Oliver

This paper presents a topology optimization approach to design 2D contact-aided compliant mechanisms (CCMs) that can trace the desired output paths with more than one kink while experiencing self and/or external contacts. Such CCMs can be…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Prabhat Kumar , Roger A Sauer , Anupam Saxena

Topology optimization can generate high-performance structures, but designers often need to revise the resulting topology in ways that reflect fabrication preferences, structural intuition, or downstream design constraints. In particular,…

Graphics · Computer Science 2026-03-31 Hongrui Chen , Dat Quoc Ha , Josephine V. Carstensen , Faez Ahmed

Bound states of two interacting particles moving on a lattice can exhibit remarkable features that are not captured by the underlying single-particle picture. Inspired by this phenomenon, we introduce a novel framework by which genuine…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 Grazia Salerno , Giandomenico Palumbo , Nathan Goldman , Marco Di Liberto

Tactile and textile skin technologies have become increasingly important for enhancing human-robot interaction and allowing robots to adapt to different environments. Despite notable advancements, there are ongoing challenges in skin signal…

Robotics · Computer Science 2024-04-24 Bo Ying Su , Yuchen Wu , Chengtao Wen , Changliu Liu

In recent years, new methods have been developed to synthesize complex porous and micro-structured geometry in a variety of ways. In this work, we take these approaches one step further and present these methods as an efficacious design…

Different cell types aggregate and sort into hierarchical architectures during the formation of animal tissues. The resulting spatial organization depends (in part) on the strength of adhesion of one cell type to itself relative to other…

Quantitative Methods · Quantitative Biology 2023-08-02 Dhananjay Bhaskar , William Y. Zhang , Alexandria Volkening , Björn Sandstede , Ian Y. Wong

Although various structural optimization techniques have a sound mathematical basis, the practical constructability of optimal designs poses a great challenge in the manufacturing stage. Currently, there is only a limited number of unified…

Numerical Analysis · Mathematics 2024-07-19 Lowhikan Sivanantha Sarma , Chinthaka Mallikarachchi , Sumudu Herath

An FFT framework which preserves a good numerical performance in the case of domains with large regions of empty space is proposed and analyzed for its application to lattice based materials. Two spectral solvers specially suited to resolve…

Materials Science · Physics 2021-11-10 S. Lucarini , L. Cobian , A. Voitus , J. Segurado

In this work, we present an efficiently computational approach for designing material micro-structures by means of topology optimization. The central idea relies on using the isogeometric analysis integrated with the parameterized level set…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Chuong Nguyen , Xiaoying Zhuang , Ludovic Chamoin , Hung Nguyen-Xuan , Xianzhong Zhao , Timon Rabczuk

Shell analysis is a well-established field, but achieving optimal higher-order convergence rates for such simulations is a difficult challenge. We present an isogeometric Kirchhoff-Love shell framework that treats every numerical aspect in…

Computational Engineering, Finance, and Science · Computer Science 2020-12-23 Daniel Schöllhammer , Benjamin Marussig , Thomas-Peter Fries

This paper studies the characteristics and applicability of the CutFEM approach as the core of a robust topology optimization framework for 3D laminar incompressible flow and species transport problems at low Reynolds number (Re < 200).…

Optimization and Control · Mathematics 2017-02-09 Hernan Villanueva , Kurt Maute

Designing the topology of three-dimensional structures is a challenging problem due to its memory and time consumption. In this paper, we present a robust and efficient algorithm for solving large-scale 3D topology optimization problems.…

Optimization and Control · Mathematics 2024-03-01 Alfredo Vitorino , Francisco A. M. Gomes

We consider a simply supported plate with constant thickness, defined on an unknown multiply connected domain. We optimize its shape according to some given performance functional. Our method is of fixed domain type, easy to be implemented,…

Optimization and Control · Mathematics 2019-09-13 Dan Tiba , Cornel Marius Murea

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

The subject of this work is the problem of optimizing the configuration of cuts for skin grafting in order to improve the efficiency of the procedure. We consider the optimization problem in the framework of a linear elasticity model. We…

Optimization and Control · Mathematics 2025-05-08 Helmut Harbrecht , Viacheslav Karnaev

A novel coupled level-set lattice Boltzmann method on adaptive Cartesian grids for simulating liquid-gas multiphase flows is presented. The approach addresses the inherent challenges of accurately modeling multiphase systems characterized…

Fluid Dynamics · Physics 2026-01-12 Julian Vorspohl , Yuxing Peng , Matthias Meinke , Dominik Krug , Wolfgang Schröder

This paper presents a new algorithm for filling holes in Level of Detail 2 (LoD2) building mesh models, addressing the challenges posed by geometric inaccuracies and topological errors. Unlike traditional methods that often alter the…

Computational Geometry · Computer Science 2024-04-25 Weixiao Gao , Ravi Peters , Hugo Ledoux , Jantien Stoter
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