Article
Engineering, Multidisciplinary
Gaocai Fu, Buyun Sheng, Ruiping Luo, Xincheng Lu
Summary: A T-spline surface reconstruction method based on the centroidal Voronoi tessellation (CVT) sampling strategy is proposed in this paper, which utilizes Gaussian curvature as the regional density function and generates CVT using the Lloyd algorithm in the uv parameter region of the original designed NUBRS surface. By applying constrained optimization theory and hierarchical T-mesh knowledge, the generation and local optimization of T-spline surface based on the reconstruction of the original NUBRS surface control points is realized. The example of the surface machined by Makino V77 machine tool and measured with BLUM TC60 probe demonstrates that this method can effectively fit a surface suitable for actual processing by adjusting a relatively small number of control vertices with a limited number of measurement points.
MEASUREMENT SCIENCE AND TECHNOLOGY
(2021)
Article
Chemistry, Multidisciplinary
Kai Cao, Yangquan Chen, Song Gao, Haixin Dang, Di An
Summary: This study optimized the centroidal Voronoi tessellation algorithm-based formation control technology for multi-robot systems considering positioning errors, limited communication distance, and poor quality. By constructing buffered Voronoi cells for each robot, the collision avoidance ability of the formation movement was improved. The proposed method effectively solved the position generation problem in a non-convex environment with actual robot sizes and positioning system errors, while enhancing collision avoidance performance and robustness.
APPLIED SCIENCES-BASEL
(2023)
Article
Biotechnology & Applied Microbiology
Xuan Guo, Yuepeng Chen, Dongming Zhao, Guangyu Luo
Summary: This paper proposes a coverage control optimization algorithm based on a biological competition mechanism to effectively solve the static area coverage problem of a heterogeneous group of autonomous underwater vehicles (AUVs).
FRONTIERS IN BIOENGINEERING AND BIOTECHNOLOGY
(2022)
Article
Green & Sustainable Science & Technology
Amy Richter, Kelvin Tsun Wai Ng, Nima Karimi
Summary: Regionalization is crucial for waste management, with Canada facing high waste generation rates. Centroidal Voronoi Tessellation is found to be the most efficient method for optimizing sub-regions in Saskatchewan. A strong linear relationship is observed between optimized parameters and standard deviation of area, highlighting the importance of relative size in optimization.
JOURNAL OF CLEANER PRODUCTION
(2021)
Article
Computer Science, Software Engineering
Hendrik Brueckler, David Bommes, Marcel Campen
Summary: Developments in the field of parametrization-based quad mesh generation on surfaces have been significant over the past decade. This study presents a method to robustly quantize volume parametrizations, leading to significantly improved flexibility in hexahedral mesh generation.
ACM TRANSACTIONS ON GRAPHICS
(2022)
Article
Geography, Physical
Xinqiao Duan, Lin Li, Yong Ge, Bo Liu
Summary: The Voronoi diagram is a crucial geo-computing structure with various applications. This article proposes a new algorithm to compute the geodesic Voronoi diagram, breaking down the complex task into regular routines for accurate computation. Experimental results demonstrate the importance of the geodesic Voronoi diagram in geo-computing.
GISCIENCE & REMOTE SENSING
(2023)
Article
Computer Science, Artificial Intelligence
Ran Yi, Zipeng Ye, Wang Zhao, Minjing Yu, Yu-Kun Lai, Yong-Jin Liu
Summary: In this paper, we propose a method to compute feature-aware CSS in videos by inducing a uniform tessellation on the video manifold, which results in supervoxels that align well with local video boundaries.
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
(2021)
Article
Mathematics, Applied
Mrinal Kanti Roychowdhury
Summary: This paper investigates the probability measure of Cantor sets generated by three contractive similarity mappings. It provides a general formula for the optimal n-means set and quantization error, and proves the range of validity for this formula is from r(0) to r(1). Additionally, it shows that quantization coefficient exists only in certain ranges while quantization dimension exists.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
(2022)
Article
Mathematics, Applied
Ivan Gonzalez, Rustum Choksi, Jean-Christophe Nave
Summary: This study presents a simple deterministic method for finding optimal centroidal Voronoi tessellations in a two-dimensional domain. The method is based on generators moving away from the closest neighbor by a certain distance to access low energy CVTs. Statistical analysis shows the hybrid method performs well compared to traditional methods and quasi-Newton methods.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2021)
Article
Chemistry, Multidisciplinary
Kai Cao, Yangquan Chen, Song Gao, Hang Zhang, Haixin Dang
Summary: This study uses the CVT algorithm to control robot formations, maximizes robot lifespan with an optimization management algorithm, improves formation system robustness, and enables quick formation generation, dynamic formation switching, and obstacle scenario resolution.
APPLIED SCIENCES-BASEL
(2022)
Article
Construction & Building Technology
Chen-zhi Li, Xiao-bin Song
Summary: This paper presents a three-dimensional mesoscale model of concrete with random packing of spherical aggregates and simulates the chloride diffusion-sorption behavior using a non-steady state model. The results confirm the suitability of Voronoi diagram in element mesh generation and suggest the importance of considering different water diffusion coefficients for wetting and drying processes. Furthermore, the study reveals the effects of exposure time, porosity, and tortuosity on the chloride concentration.
CEMENT AND CONCRETE RESEARCH
(2022)
Article
Computer Science, Interdisciplinary Applications
Amy Richter, Kelvin Tsun Wai Ng, Nima Karimi, Rita Yi Man Li
Summary: This study challenges the use of existing administrative boundaries in waste management applications and proposes a novel method to create efficient waste management regions. Results suggest that this method can effectively reduce the standard deviation of parameters, helping to lower waste collection and transportation costs.
COMPUTERS ENVIRONMENT AND URBAN SYSTEMS
(2021)
Article
Green & Sustainable Science & Technology
Amy Richter, Kelvin Tsun Wai Ng, Nima Karimi
Summary: This study developed new optimization metrics and used Centroidal Voronoi Tessellation to create waste management regions in Saskatchewan, Canada. The optimization process was efficient for federal electoral districts but required more iterations for constituencies. The results suggest that the number of subregions and their areas are important factors in spatial optimization of waste management regions.
JOURNAL OF CLEANER PRODUCTION
(2021)
Article
Computer Science, Software Engineering
Yuyou Yao, Jingjing Liu, Wenming Wu, Gaofeng Zhang, Benzhu Xu, Liping Zheng
Summary: High-quality mesh surfaces are crucial for geometric processing in various applications. Traditional methods of generating these surfaces involve complex calculations. Our proposed method efficiently utilizes the restricted tangent face (RTF) to approximate the original surface, avoiding the need for auxiliary points or traversing Voronoi cells. The method also introduces a projection strategy based on the KNN strategy to restrict point movement, resulting in superior performance in terms of viability, effectiveness, and efficiency.
COMPUTER AIDED GEOMETRIC DESIGN
(2023)
Article
Computer Science, Software Engineering
Maxence Reberol, Kilian Verhetsel, Francois Henrotte, David Bommes, Jean-Francois Remacle
Summary: We propose a robust technique for constructing a topologically optimal all-hexahedral layer on complex model boundaries. The generated boundary layer mesh accurately respects the input surface mesh geometry and optimizes the hexahedral valences of boundary edges. Our approach formulates an integer programming problem based on the duality between boundary hexahedral configurations and disk triangulations. Global optimization is achieved by solving a series of sub-problems using combinatorial branch-and-bound searches. The resulting mesh topology and geometry are automatically generated and fast.
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE
(2023)
Article
Multidisciplinary Sciences
Kuanren Qian, Aishwarya Pawar, Ashlee Liao, Cosmin Anitescu, Victoria Webster-Wood, Adam W. Feinberg, Timon Rabczuk, Yongjie Jessica Zhang
Summary: We present a new computational framework for neuron growth based on the phase field method, and develop a software package called NeuronGrowth_IGAcollocation. By considering the effect of tubulin, we simulate different stages of neuron growth, including lamellipodia formation, initial neurite outgrowth, axon differentiation, and dendrite formation. The simulation results qualitatively and quantitatively reproduce neuron morphologies and can be extended to the formation of neurite networks.
SCIENTIFIC REPORTS
(2022)
Article
Multidisciplinary Sciences
Angran Li, Yongjie Jessica Zhang
Summary: In this study, a novel optimization model is developed to simulate material transport in complex geometries of neurons and control the transport process to avoid traffic jam. The results show that both geometry and microtubule structure play important roles in achieving optimal transport process in neurons.
SCIENTIFIC REPORTS
(2022)
Article
Computer Science, Interdisciplinary Applications
Xuan Liang, Angran Li, Anthony D. Rollett, Yongjie Jessica Zhang
Summary: In this paper, a novel multiphysics-based topology optimization framework is developed to maximize heat exchange performance and control pressure drop for 2D cross-flow heat exchangers. The method uses a non-body-fitted control mesh and moving morphable voids to represent the boundary interface, while incorporating various constraints to ensure manufacturability. Numerical examples show significant improvement in heat exchange performance and controlled pressure drop for the optimized structures.
ENGINEERING WITH COMPUTERS
(2022)
Article
Computer Science, Interdisciplinary Applications
Mahsa Tajdari, Farzam Tajdari, Pouyan Shirzadian, Aishwarya Pawar, Mirwais Wardak, Sourav Saha, Chanwook Park, Toon Huysmans, Yu Song, Yongjie Jessica Zhang, John F. Sarwark, Wing Kam Liu
Summary: This paper proposes a bio-informed mechanistic machine learning technique for predicting pediatric spinal deformity from X-ray images. It utilizes a geometry-based bone growth model and fast image segmentation to achieve efficient data collection and extraction of spinal geometry data. The proposed technique achieves competitive or even superior performance compared to other learning-based methods.
ENGINEERING WITH COMPUTERS
(2022)
Editorial Material
Biophysics
Adrian Buganza Tepole, Jessica Zhang, Hector Gomez
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME
(2022)
Article
Engineering, Mechanical
Xuan Liang, Lisha White, Jonathan Cagan, Anthony D. Rollett, Yongjie Jessica Zhang
Summary: This study focuses on the structural design and additive manufacturing of cross-flow heat exchangers. A unit-based design framework is proposed to optimize the channel configuration for improved heat exchange performance and controlled pressure drop. Shape and topology changes are observed during the design process, and printability evaluation is considered for the metal laser powder bed fusion process.
JOURNAL OF MECHANICAL DESIGN
(2023)
Article
Computer Science, Interdisciplinary Applications
Ashlee S. Liao, Wenxin Cui, Yongjie Jessica Zhang, Victoria A. Webster-Wood
Summary: This study focuses on quantifying the morphological development of rat hippocampal neurons in vitro over a period of six days. Key quantitative characteristics were identified to describe neuron development and provide a foundation for analyzing directional changes in neurite growth. These findings contribute to our understanding of neuronal functionality and circuit dynamics.
Article
Engineering, Multidisciplinary
Angran Li, Yongjie Jessica Zhang
Summary: The motor-driven intracellular transport is crucial for neuron cell's survival and function, and its disruption may lead to neurodegenerative diseases. Studying how neurons regulate the transport process and understanding traffic jam formation is essential. In this study, a novel IGA-based PGNN model is developed to predict normal and abnormal transport phenomena in different neuron geometries, effectively predicting the distribution of transport velocity and material concentration during traffic jam and normal transport.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Qing Pan, Chong Chen, Yongjie Jessica Zhang, Xiaofeng Yang
Summary: In this paper, an efficient fully discrete algorithm is proposed for solving the Allen-Cahn and Cahn-Hilliard equations on complex curved surfaces. The spatial discretization uses the recently developed IGA framework with Loop subdivision and quartic box-spline basis functions. The time discretization is based on the EIEQ approach, which linearizes the nonlinear potential and achieves efficient decoupled computation. The combination of these two methods provides a linear, second-order time accurate scheme with unconditional energy stability.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Computer Science, Software Engineering
Juan Cao, Xiaoyi Zhang, Jiannan Huang, Yongjie Jessica Zhang
Summary: Traditional image warping techniques using linear or bilinear functions on triangular or rectangular meshes limit the representation capability of image deformation and often result in unsatisfactory warping results. In this paper, we propose a novel poly-FEM method for content-aware image warping, which represents image deformation using high-order poly-FEMs on a content-aware polygonal mesh. This allows highly adaptive meshes and smoother warping, significantly extending the flexibility and capability of the warping representation. The poly-FEM warping method is able to compute the optimal image deformation by minimizing warping energies consisting of penalty terms for specific transformations, demonstrating its versatility and superiority compared to other existing methods.
COMPUTATIONAL VISUAL MEDIA
(2023)
Article
Engineering, Multidisciplinary
Zhihao Wang, Juan Cao, Xiaodong Wei, Zhonggui Chen, Hugo Casquero, Yongjie Jessica Zhang
Summary: This paper presents the application of triangle configuration B-splines (TCB-splines) in isogeometric analysis (IGA) for representing and analyzing the Kirchhoff-Love shell. TCB-splines offer flexibility and C1 continuity, making them suitable for modeling complex geometries.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Kuanren Qian, Ashlee S. Liao, Shixuan Gu, Victoria A. Webster-Wood, Yongjie Jessica Zhang
Summary: Neuron growth is a complex process that can be simulated and studied using computational tools, which can help find treatments for neurodegenerative diseases. This paper proposes a neuron growth model based on the phase field method and isogeometric analysis collocation, and uses a convolutional neural network to predict neurite growth patterns, achieving high accuracy and significant computational cost reduction.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Hua Tong, Kuanren Qian, Eni Halilaj, Yongjie Jessica Zhang
Summary: This paper presents a novel computational framework called SRL-assisted AFM for meshing planar geometries, which combines the advancing front method with neural networks. The proposed supervised learning neural networks achieve high accuracy in predicting commercial software. The reinforcement learning neural networks automatically generate high-quality quadrilateral meshes for complex planar domains.
JOURNAL OF COMPUTATIONAL SCIENCE
(2023)
Proceedings Paper
Cell & Tissue Engineering
Ahmed S. Mohamed, Ashlee S. Liao, Yongjie Jessica Zhang, Victoria A. Webster-Wood, Joseph S. Najem
Summary: The nervous system is difficult to replicate in bioinspired and biohybrid systems, so an alternative path is to use synthetic biomolecular neuristors that can mimic the spiking behavior of biological neurons. A computational model using biomolecular neuristors was implemented and compared to the Izhikevich neuron model. Both models were able to replicate the firing behavior, but further parameter tuning is needed for the neuristor model to match the firing frequency of biological neurons.
BIOMIMETIC AND BIOHYBRID SYSTEMS, LIVING MACHINES 2022
(2022)
Article
Mechanics
Angran Li, Yongjie Jessica Zhang
Summary: Intracellular transport is crucial for delivering essential materials in neurons, and disruptions in this process have been linked to neurodegenerative diseases. This study develops an optimization model to simulate the regulation of material transport in complex three-dimensional geometries of neurons. By minimizing a predefined objective function, the model controls transport to avoid traffic jams. The results demonstrate that geometry and microtubule structure play important roles in achieving optimal transport in neurons.
JOURNAL OF MECHANICS
(2022)
Article
Engineering, Multidisciplinary
Akshay J. Thomas, Mateusz Jaszczuk, Eduardo Barocio, Gourab Ghosh, Ilias Bilionis, R. Byron Pipes
Summary: We propose a physics-guided transfer learning approach to predict the thermal conductivity of additively manufactured short-fiber reinforced polymers using micro-structural characteristics obtained from tensile tests. A Bayesian framework is developed to transfer the thermal conductivity properties across different extrusion deposition additive manufacturing systems. The experimental results demonstrate the effectiveness and reliability of our method in accounting for epistemic and aleatory uncertainties.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Zhen Zhang, Zongren Zou, Ellen Kuhl, George Em Karniadakis
Summary: In this study, deep learning and artificial intelligence were used to discover a mathematical model for the progression of Alzheimer's disease. By analyzing longitudinal tau positron emission tomography data, a reaction-diffusion type partial differential equation for tau protein misfolding and spreading was discovered. The results showed different misfolding models for Alzheimer's and healthy control groups, indicating faster misfolding in Alzheimer's group. The study provides a foundation for early diagnosis and treatment of Alzheimer's disease and other misfolding-protein based neurodegenerative disorders using image-based technologies.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jonghyuk Baek, Jiun-Shyan Chen
Summary: This paper introduces an improved neural network-enhanced reproducing kernel particle method for modeling the localization of brittle fractures. By adding a neural network approximation to the background reproducing kernel approximation, the method allows for the automatic location and insertion of discontinuities in the function space, enhancing the modeling effectiveness. The proposed method uses an energy-based loss function for optimization and regularizes the approximation results through constraints on the spatial gradient of the parametric coordinates, ensuring convergence.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Bodhinanda Chandra, Ryota Hashimoto, Shinnosuke Matsumi, Ken Kamrin, Kenichi Soga
Summary: This paper proposes new and robust stabilization strategies for accurately modeling incompressible fluid flow problems in the material point method (MPM). The proposed approach adopts a monolithic displacement-pressure formulation and integrates two stabilization strategies to ensure stability. The effectiveness of the proposed method is validated through benchmark cases and real-world scenarios involving violent free-surface fluid motion.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Chao Peng, Alessandro Tasora, Dario Fusai, Dario Mangoni
Summary: This article discusses the importance of the tangent stiffness matrix of constraints in multibody systems and provides a general formulation based on quaternion parametrization. The article also presents the analytical expression of the tangent stiffness matrix derived through linearization. Examples demonstrate the positive effect of this additional stiffness term on static and eigenvalue analyses.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Thibaut Vadcard, Fabrice Thouverez, Alain Batailly
Summary: This contribution presents a methodology for detecting isolated branches of periodic solutions to nonlinear mechanical equations. The method combines harmonic balance method-based solving procedure with the Melnikov energy principle. It is able to predict the location of isolated branches of solutions near families of autonomous periodic solutions. The relevance and accuracy of this methodology are demonstrated through academic and industrial applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Weisheng Zhang, Yue Wang, Sung-Kie Youn, Xu Guo
Summary: This study proposes a sketch-guided topology optimization approach based on machine learning, which incorporates computer sketches as constraint functions to improve the efficiency of computer-aided structural design models and meet the design intention and requirements of designers.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Leilei Chen, Zhongwang Wang, Haojie Lian, Yujing Ma, Zhuxuan Meng, Pei Li, Chensen Ding, Stephane P. A. Bordas
Summary: This paper presents a model order reduction method for electromagnetic boundary element analysis and extends it to computer-aided design integrated shape optimization of multi-frequency electromagnetic scattering problems. The proposed method utilizes a series expansion technique and the second-order Arnoldi procedure to reduce the order of original systems. It also employs the isogeometric boundary element method to ensure geometric exactness and avoid re-meshing during shape optimization. The Grey Wolf Optimization-Artificial Neural Network is used as a surrogate model for shape optimization, with radar cross section as the objective function.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
C. Pilloton, P. N. Sun, X. Zhang, A. Colagrossi
Summary: This paper investigates the smoothed particle hydrodynamics (SPH) simulations of violent sloshing flows and discusses the impact of volume conservation errors on the simulation results. Different techniques are used to directly measure the particles' volumes and stabilization terms are introduced to control the errors. Experimental comparisons demonstrate the effectiveness of the numerical techniques.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Ye Lu, Weidong Zhu
Summary: This work presents a novel global digital image correlation (DIC) method based on a convolution finite element (C-FE) approximation. The C-FE based DIC provides highly smooth and accurate displacement and strain results with the same element size as the usual finite element (FE) based DIC. The proposed method's formulation and implementation, as well as the controlling parameters, have been discussed in detail. The C-FE method outperformed the FE method in all tested examples, demonstrating its potential for highly smooth, accurate, and robust DIC analysis.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Mojtaba Ghasemi, Mohsen Zare, Amir Zahedi, Pavel Trojovsky, Laith Abualigah, Eva Trojovska
Summary: This paper introduces Lung performance-based optimization (LPO), a novel algorithm that draws inspiration from the efficient oxygen exchange in the lungs. Through experiments and comparisons with contemporary algorithms, LPO demonstrates its effectiveness in solving complex optimization problems and shows potential for a wide range of applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jingyu Hu, Yang Liu, Huixin Huang, Shutian Liu
Summary: In this study, a new topology optimization method is proposed for structures with embedded components, considering the tension/compression asymmetric interface stress constraint. The method optimizes the topology of the host structure and the layout of embedded components simultaneously, and a new interpolation model is developed to determine interface layers between the host structure and embedded components.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Qiang Liu, Wei Zhu, Xiyu Jia, Feng Ma, Jun Wen, Yixiong Wu, Kuangqi Chen, Zhenhai Zhang, Shuang Wang
Summary: In this study, a multiscale and nonlinear turbulence characteristic extraction model using a graph neural network was designed. This model can directly compute turbulence data without resorting to simplified formulas. Experimental results demonstrate that the model has high computational performance in turbulence calculation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jacinto Ulloa, Geert Degrande, Jose E. Andrade, Stijn Francois
Summary: This paper presents a multi-temporal formulation for simulating elastoplastic solids under cyclic loading. The proper generalized decomposition (PGD) is leveraged to decompose the displacements into multiple time scales, separating the spatial and intra-cyclic dependence from the inter-cyclic variation, thereby reducing computational burden.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Utkarsh Utkarsh, Valentin Churavy, Yingbo Ma, Tim Besard, Prakitr Srisuma, Tim Gymnich, Adam R. Gerlach, Alan Edelman, George Barbastathis, Richard D. Braatz, Christopher Rackauckas
Summary: This article presents a high-performance vendor-agnostic method for massively parallel solving of ordinary and stochastic differential equations on GPUs. The method integrates with a popular differential equation solver library and achieves state-of-the-art performance compared to hand-optimized kernels.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
