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Artigos de revistas sobre o tema "Quad meshing"

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Autor: Grafiati

Publicado: 20 de julho de 2024

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1

Rushdi, Ahmad A., Scott A. Mitchell, Ahmed H. Mahmoud, Chandrajit C. Bajaj e Mohamed S. Ebeida. "All-quad meshing without cleanup". Computer-Aided Design 85 (abril de 2017): 83–98. http://dx.doi.org/10.1016/j.cad.2016.07.009.

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2

Ebke, Hans-Christian, Marcel Campen, David Bommes e Leif Kobbelt. "Level-of-detail quad meshing". ACM Transactions on Graphics 33, n.º 6 (19 de novembro de 2014): 1–11. http://dx.doi.org/10.1145/2661229.2661240.

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3

Bommes, David, Marcel Campen, Hans-Christian Ebke, Pierre Alliez e Leif Kobbelt. "Integer-grid maps for reliable quad meshing". ACM Transactions on Graphics 32, n.º 4 (21 de julho de 2013): 1–12. http://dx.doi.org/10.1145/2461912.2462014.

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4

Bukenberger, Dennis R., e Hendrik P. A. Lensch. "Hierarchical Quad Meshing of 3D Scanned Surfaces". Computer Graphics Forum 37, n.º 5 (agosto de 2018): 135–45. http://dx.doi.org/10.1111/cgf.13497.

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5

Zhang, Chenguang, e Xin Li. "Automatic quad meshing by simulating NaCl crystallization". Procedia Engineering 203 (2017): 284–96. http://dx.doi.org/10.1016/j.proeng.2017.09.810.

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6

Zhang, Chi, Shuangming Chai, Ligang Liu e Xiao-Ming Fu. "Quad Meshing with Coarse Layouts for Planar Domains". Computer-Aided Design 140 (novembro de 2021): 103084. http://dx.doi.org/10.1016/j.cad.2021.103084.

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7

Rushdi, Ahmad A., Scott A. Mitchell, Chandrajit L. Bajaj e Mohamed S. Ebeida. "Robust All-quad Meshing of Domains with Connected Regions". Procedia Engineering 124 (2015): 96–108. http://dx.doi.org/10.1016/j.proeng.2015.10.125.

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8

Pellenard, Bertrand, Gunay Orbay, James Chen, Shailendra Sohan, Wa Kwok e Joseph R. Tristano. "QMCF: QMorph Cross Field-driven Quad-dominant Meshing Algorithm". Procedia Engineering 82 (2014): 338–50. http://dx.doi.org/10.1016/j.proeng.2014.10.395.

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9

Lyon, Max, Marcel Campen, David Bommes e Leif Kobbelt. "Parametrization quantization with free boundaries for trimmed quad meshing". ACM Transactions on Graphics 38, n.º 4 (12 de julho de 2019): 1–14. http://dx.doi.org/10.1145/3306346.3323019.

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10

Simons, Lance, e Nina Amenta. "All-Quad Meshing for Geographic Data via Templated Boundary Optimization". Procedia Engineering 203 (2017): 388–400. http://dx.doi.org/10.1016/j.proeng.2017.09.813.

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11

Li, Xin, Wuyi Yu e Celong Liu. "Geometry-aware partitioning of complex domains for parallel quad meshing". Computer-Aided Design 85 (abril de 2017): 20–33. http://dx.doi.org/10.1016/j.cad.2016.07.014.

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12

Li, Er, Wujun Che, Xiaopeng Zhang, Yi-Kuan Zhang e Bo Xu. "Direct quad-dominant meshing of point cloud via global parameterization". Computers & Graphics 35, n.º 3 (junho de 2011): 452–60. http://dx.doi.org/10.1016/j.cag.2011.03.021.

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13

Fan, Sai Kit, Ajay Joneja e Shawn Wang. "Draping Curves on Surfaces for Quad-Meshing of Architectural Surfaces". Computer-Aided Design and Applications 10, n.º 2 (janeiro de 2013): 293–306. http://dx.doi.org/10.3722/cadaps.2013.293-306.

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14

Owen, S. J., M. L. Staten, S. A. Canann e S. Saigal. "Q-Morph: an indirect approach to advancing front quad meshing". International Journal for Numerical Methods in Engineering 44, n.º 9 (30 de março de 1999): 1317–40. http://dx.doi.org/10.1002/(sici)1097-0207(19990330)44:9<1317::aid-nme532>3.0.co;2-n.

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15

Pang, Xufang, Zhan Song e Rynson W. H. Lau. "An effective quad-dominant meshing method for unorganized point clouds". Graphical Models 76, n.º 2 (março de 2014): 86–102. http://dx.doi.org/10.1016/j.gmod.2013.11.004.

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16

Duan, Jin, Xiao Ming Chen, Hu Qi e Yun Gui Li. "Boundary-Constraint Meshing Based on Paving Method". Applied Mechanics and Materials 627 (setembro de 2014): 262–67. http://dx.doi.org/10.4028/www.scientific.net/amm.627.262.

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This paper would modify thepaving method of Blacker and Stephenson [1] to generate boundary-constraint quad-mesh for arbitrary plane geometry. The basic idea for the present method is to classify the initial boundaries into closed borders and open borders.The closed borders aredescribed in a manner just the same as the paving method while the open borders areheuristically modeled as cracks with zero-width.And then the two kinds of borders aredelicatelyconnected each other to generate a new kind of boundary, named generalized closed boundary. Based on the newboundaries, the paving methodin Ref. [1] is adopted and modified slightly to generate quadrilateral elements by layering the geometry from the boundary toward the interior. And finally some meshing examples would be presented to illustrate the availability and power of the modified paving method.

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17

Brückler, Hendrik, David Bommes e Marcel Campen. "Volume parametrization quantization for hexahedral meshing". ACM Transactions on Graphics 41, n.º 4 (julho de 2022): 1–19. http://dx.doi.org/10.1145/3528223.3530123.

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Developments in the field of parametrization-based quad mesh generation on surfaces have been impactful over the past decade. In this context, an important advance has been the replacement of error-prone rounding in the generation of integer-grid maps, by robust quantization methods. In parallel, parametrization-based hex mesh generation for volumes has been advanced. In this volumetric context, however, the state-of-the-art still relies on fragile rounding, not rarely producing defective meshes, especially when targeting a coarse mesh resolution. We present a method to robustly quantize volume parametrizations, i.e., to determine guaranteed valid choices of integers for 3D integer-grid maps. Inspired by the 2D case, we base our construction on a non-conforming cell decomposition of the volume, a 3D analogue of a T-mesh. In particular, we leverage the motorcycle complex, a recent generalization of the motorcycle graph, for this purpose. Integer values are expressed in a differential manner on the edges of this complex, enabling the efficient formulation of the conditions required to strictly prevent forcing the map into degeneration. Applying our method in the context of hexahedral meshing, we demonstrate that hexahedral meshes can be generated with significantly improved flexibility.

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18

Mrdakovic, Branko, e Branko Kolundzija. "Improvements in Insertion of Auxiliary Parity Segments in WIPL-D All-Quad Meshing Algorithm". Applied Computational Electromagnetics Society 35, n.º 11 (3 de fevereiro de 2021): 1294–95. http://dx.doi.org/10.47037/2020.aces.j.351116.

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This paper provides a new technique that improves the all-quad meshing algorithm implemented in the WIPL-D software. The technique allows for the insertion of required auxiliary segments to achieve parity of a number of segments over all closed loops of all faces. The aim of the improvement is to reduce the total number of mesh elements in the final mesh. The efficiency of the proposed technique is compared to the traditional one mentioned earlier. A reduction in the number of mesh elements of about 15% has been achieved when applied to a log-periodic antenna WIPL-D model.

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19

Yamakawa, Soji, e Kenji Shimada. "Quad-Layer: Layered Quadrilateral Meshing of Narrow Two-Dimensional Domains by Bubble Packing and Chordal Axis Transformation". Journal of Mechanical Design 124, n.º 3 (6 de agosto de 2002): 564–73. http://dx.doi.org/10.1115/1.1486014.

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This paper presents a computational method for quadrilateral meshing of a thin, or narrow, two-dimensional domain for finite element analysis. The proposed method creates a well-shaped single-layered, multi-layered, or partially multi-layered quadrilateral mesh. Element sizes can be uniform or graded. A high quality, layered quadrilateral mesh is often required for finite element analysis of a narrow two-dimensional domain with a large deformation such as in the analysis of rubber deformation or sheet metal forming. Fully automated quadrilateral meshing is performed in two stages: (1) extraction of the skeleton of a given domain by discrete chordal axis transformation, and (2) discretization of the chordal axis into a set of line segments and conversion of each of the line segments to a single quadrilateral element or multiple layers of quadrilateral elements. In each step a physically-based computational method called bubble packing is applied to discretize a curve into a set of line segments of specified sizes. Experiments show that the accuracy of a large-deformation FEM analysis can be significantly improved by using a well-shaped quadrilateral mesh created by the proposed method.

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20

Grubišić, Luka, Domagoj Lacmanović e Josip Tambača. "Preconditioning the Quad Dominant Mesh Generator for Ship Structural Analysis". Algorithms 15, n.º 1 (24 de dezembro de 2021): 2. http://dx.doi.org/10.3390/a15010002.

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This paper presents an algorithm for the fully automatic mesh generation for the finite element analysis of ships and offshore structures. The quality requirements on the mesh generator are imposed by the acceptance criteria of the classification societies as well as the need to avoid shear locking when using low degree shell elements. The meshing algorithm will be generating quadrilateral dominated meshes (consisting of quads and triangles) and the mesh quality requirements mandate that quadrilaterals with internal angles close to 90° are to be preferred. The geometry is described by a dictionary containing points, rods, surfaces, and openings. The first part of the proposed method consists of an algorithm to automatically clean the geometry. The corrected geometry is then meshed by the frontal Delaunay mesh generator as implemented in the gmsh package. We present a heuristic method to precondition the cross field of the fronatal quadrilateral mesher. In addition, the influence of the order in which the plates are meshed will be explored as a preconditioning step.

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21

Viertel, Ryan, e Braxton Osting. "An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg--Landau Theory". SIAM Journal on Scientific Computing 41, n.º 1 (janeiro de 2019): A452—A479. http://dx.doi.org/10.1137/17m1142703.

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22

Livesu, Marco. "Towards a robust and portable pipeline for quad meshing: Topological initialization of injective integer grid maps". Computers & Graphics 112 (maio de 2023): 50–59. http://dx.doi.org/10.1016/j.cag.2023.03.005.

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23

Zeng, Xia Ling. "A Mobile Coverage Strategy for Sparse Overlay Network". Applied Mechanics and Materials 738-739 (março de 2015): 1119–22. http://dx.doi.org/10.4028/www.scientific.net/amm.738-739.1119.

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For sparse overlay network built by static sensor nodes, this paper proposes the introduction of heterogeneous mobile sensor nodes, and designs a mobile coverage strategy to optimize the coverage performance of sensor network. At first, the monitoring area is divided into several sub-regions by iterative quartering and the sub-regions are represented by a quad-tree structure. Secondly, the mobile coverage strategy is planned based on the idea of divide and conquers and combing the overall regional strategy with local regional strategy. The overall regional mobile strategy is planned by go through all sub-regions according to breadth-first traversal of the quad-tree. The local regional mobile strategy in each sub-region is designed based on the distribution of static nodes after the sub-region meshing. The results show that the mobile coverage strategy can achieve good network coverage, and it is very suitable for multiple mobile nodes.

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24

Lazăr, Nicoleta Elena, e Leonard Domnișoru. "Analysis of the influence of the meshing size for an oil tanker structural model on the stress hot spot values". Analele Universităţii "Dunărea de Jos" din Galaţi Fascicula XI Construcţii navale/ Annals of "Dunărea de Jos" of Galati Fascicle XI Shipbuilding 45 (3 de dezembro de 2022): 41–50. http://dx.doi.org/10.35219/annugalshipbuilding/2022.45.05.

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The development of the shipbuilding industry leads to new requirements for the safety of ships. Stress hot spots are recorded on every floating structure and they influence nega-tively the hull strength. This analysis identifies the stress hot spots and the influence of the meshing size on their values for a 97235 tdw oil tanker, using the Femap/NX Nastran program. Structurally, two constructive options were considered for the central longitudi-nal bulkhead: corrugated and flat panels. The detailed local structural model is devel-oped for three mesh sizes: coarse, medium, and fine. Quad and triangle shell elements are used for the FEM local models.

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25

Grubišić, Luka, Domagoj Lacmanović, Marin Palaversa, Pero Prebeg e Josip Tambača. "An Open-Source Processing Pipeline for Quad-Dominant Mesh Generation for Class-Compliant Ship Structural Analysis". Journal of Marine Science and Engineering 10, n.º 2 (4 de fevereiro de 2022): 209. http://dx.doi.org/10.3390/jmse10020209.

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We present an algorithm for the fully automatic generation of a class-compliant mesh for ship structural analysis. Our algorithm is implemented as an end-to-end solution. It starts from a description of a geometry and produces a class conforming surface mesh as a result. The algorithm consists of two parts, the automatic geometry refinement and the preconditioned Delaunay frontal quad dominant mesh generator. A geometry is described by a dictionary of elements and it contains points, rods, plates, and openings. A dictionary can contain modeling errors such as unintended overlaps or an unintended loss of connectivity between elements. The main contribution of the paper is the automatic geometry refinement algorithm and the virtual stiffener procedure designed to control the local mesh orientation of a marching front meshing algorithm. The geometry refinement algorithm guarantees that the output dictionary will be such that intersections of the boundary edges of plates are guaranteed to be nodes of any mesh generated by tessellating such geometry. The algorithm is implemented in Python, using the open-source Gmsh system together with the Open CASCADE kernel which is used to implement the automatic geometry refinement. We present several benchmark models from an engineering practice to illustrate our claims as well as to benchmark the efficiency of the various stages of the processing pipeline.

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26

Konan, N’dri Arthur, Eilis Rosenbaum e Mehrdad Massoudi. "On the Response of a Herschel–Bulkley Fluid Due to a Moving Plate". Polymers 14, n.º 18 (17 de setembro de 2022): 3890. http://dx.doi.org/10.3390/polym14183890.

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In this paper, we study the boundary-layer flow of a Herschel–Bulkley fluid due to a moving plate; this problem has been experimentally investigated by others, where the fluid was assumed to be Carbopol, which has similar properties to cement. The computational fluid dynamics finite volume method from the open-source toolbox/library OpenFOAM is used on structured quad grids to solve the mass and the linear momentum conservation equations using the solver “overInterDyMFoam” customized with non-Newtonian viscosity libraries. The governing equations are solved numerically by using regularization methods in the context of the overset meshing technique. The results indicate that there is a good comparison between the experimental data and the simulations. The boundary layer thicknesses are predicted within the uncertainties of the measurements. The simulations indicate strong sensitivities to the rheological properties of the fluid.

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27

Heistermann, Martin, Jethro Warnett e David Bommes. "Min-Deviation-Flow in Bi-directed Graphs for T-Mesh Quantization". ACM Transactions on Graphics 42, n.º 4 (26 de julho de 2023): 1–25. http://dx.doi.org/10.1145/3592437.

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Subdividing non-conforming T-mesh layouts into conforming quadrangular meshes is a core component of state-of-the-art (re-)meshing methods. Typically, the required constrained assignment of integer lengths to T-Mesh edges is left to generic branch-and-cut solvers, greedy heuristics, or a combination of the two. This either does not scale well with input complexity or delivers suboptimal result quality. We introduce the Minimum-Deviation-Flow Problem in bi-directed networks (Bi-MDF) and demonstrate its use in modeling and efficiently solving a variety of T-Mesh quantization problems. We develop a fast approximate solver as well as an iterative refinement algorithm based on matching in graphs that solves Bi-MDF exactly. Compared to the state-of-the-art QuadWild [Pietroni et al. 2021] implementation on the authors' 300 dataset, our exact solver finishes after only 0.49% (total 17.06s) of their runtime (3491s) and achieves 11% lower energy while an approximation is computed after 0.09% (3.19s) of their runtime at the cost of 24% increased energy. A novel half-arc-based T-Mesh quantization formulation extends the feasible solution space to include previously unattainable quad meshes. The Bi-MDF problem is more general than our application in layout quantization, potentially enabling similar speedups for other optimization problems that fit into the scheme, such as quad mesh refinement.

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28

Abdollahzadeh, Mohammad Amin, Adnan Kefal e Mehmet Yildiz. "A Comparative and Review Study on Shape and Stress Sensing of Flat/Curved Shell Geometries Using C0-Continuous Family of iFEM Elements". Sensors 20, n.º 14 (8 de julho de 2020): 3808. http://dx.doi.org/10.3390/s20143808.

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In this study, we methodologically compare and review the accuracy and performance of C0-continuous flat and curved inverse-shell elements (i.e., iMIN3, iQS4, and iCS8) for inverse finite element method (iFEM) in terms of shape, strain, and stress monitoring, and damage detection on various plane and curved geometries subjected to different loading and constraint conditions. For this purpose, four different benchmark problems are proposed, namely, a tapered plate, a quarter of a cylindrical shell, a stiffened curved plate, and a curved plate with a degraded material region in stiffness, representing a damage. The complexity of these test cases is increased systematically to reveal the advantages and shortcomings of the elements under different sensor density deployments. The reference displacement solutions and strain-sensor data used in the benchmark problems are established numerically, utilizing direct finite element analysis. After performing shape-, strain-, and stress-sensing analyses, the reference solutions are compared to the reconstructed solutions of iMIN3, iQS4, and iCS8 models. For plane geometries with sparse sensor configurations, these three elements provide rather close reconstructed-displacement fields with slightly more accurate stress sensing using iCS8 than when using iMIN3/iQS4. It is demonstrated on the curved geometry that the cross-diagonal meshing of a quadrilateral element pattern (e.g., leading to four iMIN3 elements) improves the accuracy of the displacement reconstruction as compared to a single-diagonal meshing strategy (e.g., two iMIN3 elements in a quad-shape element) utilizing iMIN3 element. Nevertheless, regardless of any geometry, sensor density, and meshing strategy, iQS4 has better shape and stress-sensing than iMIN3. As the complexity of the problem is elevated, the predictive capabilities of iCS8 element become obviously superior to that of flat inverse-shell elements (e.g., iMIN3 and iQS4) in terms of both shape sensing and damage detection. Comprehensively speaking, we envisage that the set of scrupulously selected test cases proposed herein can be reliable benchmarks for testing/validating/comparing for the features of newly developed inverse elements.

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29

Khandar Shahabad, Peiman, Salih Alan, M. Erden Yildizdag e Bekir Bediz. "A novel spectral element method with a higher-order coarse quad meshing approach to design laminated composite panels with arbitrarily shaped cutouts". Thin-Walled Structures 197 (abril de 2024): 111636. http://dx.doi.org/10.1016/j.tws.2024.111636.

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30

Jones, Benjamin, Yuxuan Mei, Haisen Zhao, Taylor Gotfrid, Jennifer Mankoff e Adriana Schulz. "Computational Design of Knit Templates". ACM Transactions on Graphics 41, n.º 2 (30 de abril de 2022): 1–16. http://dx.doi.org/10.1145/3488006.

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We present an interactive design system for knitting that allows users to create template patterns that can be fabricated using an industrial knitting machine. Our interactive design tool is novel in that it allows direct control of key knitting design axes we have identified in our formative study and does so consistently across the variations of an input parametric template geometry. This is achieved with two key technical advances. First, we present an interactive meshing tool that lets users build a coarse quadrilateral mesh that adheres to their knit design guidelines. This solution ensures consistency across the parameter space for further customization over shape variations and avoids helices, promoting knittability. Second, we lift and formalize low-level machine knitting constraints to the level of this coarse quad mesh. This enables us to not only guarantee hand- and machine-knittability, but also provides automatic design assistance through auto-completion and suggestions. We show the capabilities through a set of fabricated examples that illustrate the effectiveness of our approach in creating a wide variety of objects and interactively exploring the space of design variations.

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31

Mahajan, Sanjit, e R. Muralidharan. "Simulation of an Armoured Vehicle for Blast Loading". Defence Science Journal 67, n.º 4 (30 de junho de 2017): 449. http://dx.doi.org/10.14429/dsj.67.11430.

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Occupant safety in an armoured vehicle is of paramount importance. Most serious threat to armoured vehicles comes in the form of explosion of buried charge or an improvised explosive device. The use of numerical methods in the validation process of light armoured vehicles reduces the number of prototypes required and decreases the design time. This paper elucidates the process by which one such validation using numerical methods was done. The process of finite element method used for simulation of blast is a prominent method of numerical method of simulation. The finite element model (FEM) process starts with discretisation. By discretisation or meshing, Shell (Quad/Tria) and solid (Tetra/Hexa) elements are generated. The FEM thus created is provided with relevant material model / properties and loading and boundary conditions. The loading conditions are adopted from STANAG 4569 Level II standards. Local deformation, global displacement, stresses and time history of displacement of particular areas of interest are obtained as results. Comparison results include the effect of with and without thermal softening under blast. Based on the results and comparison, suggestions regarding re-engineering the vehicle are presented.

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32

Pan, Jie, Jingwei Huang, Yunli Wang, Gengdong Cheng e Yong Zeng. "A self-learning finite element extraction system based on reinforcement learning". Artificial Intelligence for Engineering Design, Analysis and Manufacturing 35, n.º 2 (21 de abril de 2021): 180–208. http://dx.doi.org/10.1017/s089006042100007x.

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AbstractAutomatic generation of high-quality meshes is a base of CAD/CAE systems. The element extraction is a major mesh generation method for its capabilities to generate high-quality meshes around the domain boundary and to control local mesh densities. However, its widespread applications have been inhibited by the difficulties in generating satisfactory meshes in the interior of a domain or even in generating a complete mesh. The element extraction method's primary challenge is to define element extraction rules for achieving high-quality meshes in both the boundary and the interior of a geometric domain with complex shapes. This paper presents a self-learning element extraction system, FreeMesh-S, that can automatically acquire robust and high-quality element extraction rules. Two central components enable the FreeMesh-S: (1) three primitive structures of element extraction rules, which are constructed according to boundary patterns of any geometric boundary shapes; (2) a novel self-learning schema, which is used to automatically define and refine the relationships between the parameters included in the element extraction rules, by combining an Advantage Actor-Critic (A2C) reinforcement learning network and a Feedforward Neural Network (FNN). The A2C network learns the mesh generation process through random mesh element extraction actions using element quality as a reward signal and produces high-quality elements over time. The FNN takes the mesh generated from the A2C as samples to train itself for the fast generation of high-quality elements. FreeMesh-S is demonstrated by its application to two-dimensional quad mesh generation. The meshing performance of FreeMesh-S is compared with three existing popular approaches on ten pre-defined domain boundaries. The experimental results show that even with much less domain knowledge required to develop the algorithm, FreeMesh-S outperforms those three approaches in essential indices. FreeMesh-S significantly reduces the time and expertise needed to create high-quality mesh generation algorithms.

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33

Nuvoli, Stefano, Nico Pietroni, Paolo Cignoni, Riccardo Scateni e Marco Tarini. "SkinMixer". ACM Transactions on Graphics 41, n.º 6 (30 de novembro de 2022): 1–15. http://dx.doi.org/10.1145/3550454.3555503.

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We propose a novel technique to compose new 3D animated models, such as videogame characters, by combining pieces from existing ones. Our method works on production-ready rigged, skinned, and animated 3D models to reassemble new ones. We exploit mix-and-match operations on the skeletons to trigger the automatic creation of a new mesh, linked to the new skeleton by a set of skinning weights and complete with a set of animations. The resulting model preserves the quality of the input meshings (which can be quad-dominant and semi-regular), skinning weights (inducing believable deformation), and animations, featuring coherent movements of the new skeleton. Our method enables content creators to reuse valuable, carefully designed assets by assembling new ready-to-use characters while preserving most of the hand-crafted subtleties of models authored by digital artists. As shown in the accompanying video, it allows for drastically cutting the time needed to obtain the final result.

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34

Coudert‐Osmont, Yoann, David Desobry, Martin Heistermann, David Bommes, Nicolas Ray e Dmitry Sokolov. "Quad Mesh Quantization Without a T‐Mesh". Computer Graphics Forum, 17 de setembro de 2023. http://dx.doi.org/10.1111/cgf.14928.

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AbstractGrid preserving maps of triangulated surfaces were introduced for quad meshing because the 2D unit grid in such maps corresponds to a sub‐division of the surface into quad‐shaped charts. These maps can be obtained by solving a mixed integer optimization problem: Real variables define the geometry of the charts and integer variables define the combinatorial structure of the decomposition. To make this optimization problem tractable, a common strategy is to ignore integer constraints at first, then to enforce them in a so‐called quantization step. Actual quantization algorithms exploit the geometric interpretation of integer variables to solve an equivalent problem: They consider that the final quad mesh is a sub‐division of a T‐mesh embedded in the surface, and optimize the number of sub‐divisions for each edge of this T‐mesh. We propose to operate on a decimated version of the original surface instead of the T‐mesh. It is easier to implement and to adapt to constraints such as free boundaries, complex feature curves network etc.

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35

Chan, Chiu Ling, Felix Scholz e Thomas Takacs. "Locally refined quad meshing for linear elasticity problems based on convolutional neural networks". Engineering with Computers, 28 de junho de 2022. http://dx.doi.org/10.1007/s00366-022-01677-8.

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AbstractIn this paper we propose a method to generate suitably refined finite element meshes using neural networks. As a model problem we consider a linear elasticity problem on a planar domain (possibly with holes) having a polygonal boundary. We impose boundary conditions by fixing the position of a part of the boundary and applying a force on another part of the boundary. The resulting displacement and distribution of stresses depend on the geometry of the domain and on the boundary conditions. When applying a standard Galerkin discretization using quadrilateral finite elements, one usually has to perform adaptive refinement to properly resolve maxima of the stress distribution. Such an adaptive scheme requires a local error estimator and a corresponding local refinement strategy. The overall costs of such a strategy are high. We propose to reduce the costs of obtaining a suitable discretization by training a neural network whose evaluation replaces this adaptive refinement procedure. We set up a single network for a large class of possible domains and boundary conditions and not on a single domain of interest. The computational domain and boundary conditions are interpreted as images, which are suitable inputs for convolution neural networks. In our approach we use the U-net architecture and we devise training strategies by dividing the possible inputs into different categories based on their overall geometric complexity. Thus, we compare different training strategies based on varying geometric complexity. One of the advantages of the proposed approach is the interpretation of input and output as images, which do not depend on the underlying discretization scheme. Another is the generalizability and geometric flexibility. The network can be applied to previously unseen geometries, even with different topology and level of detail. Thus, training can easily be extended to other classes of geometries.

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Livesu, Marco. "Towards a Robust and Portable Pipeline for Quad Meshing: Topological Initialization of Injective Integer Grid Maps". SSRN Electronic Journal, 2023. http://dx.doi.org/10.2139/ssrn.4340686.

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Shabbir, Fariha, Amenah Abdul Mujeeb, Syed Faraz Jawed, Ali Haider Khan e Choudhary Sobhan Shakeel. "Simulation of transvascular transport of nanoparticles in tumor microenvironments for drug delivery applications". Scientific Reports 14, n.º 1 (20 de janeiro de 2024). http://dx.doi.org/10.1038/s41598-024-52292-0.

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AbstractNanomedicine is a promising approach for tumor therapy but penetration is challenged by complex tumor microenvironments. The purpose of this study is to design nanoparticles and analyze their transport in two abnormal microenvironments through a 2-D simulation. Employing a Computational Fluid Dynamics (CFD) approach, tumor vascular-interstitial models were initially simulated, and the impact of nanoparticles on the velocity profile and pressure gradient within the tumor microenvironment was observed. Through meticulous mesh analysis, it was determined that optimal outcomes were achieved using a quadrilateral meshing method for pancreatic tumor and a quad/tri meshing method for hepatic tumor. Results showed an increase in vessel diameter correlated with elevated blood flow velocity, reaching a maximum of 1.40 × 10^−3 m/s with an expanding cell gap. The simulation results for pressure distribution show that as vessel diameter increases, the velocity of nanoparticles in blood increases and decreases the pressure of blood. Intriguingly, distinct fluid flow patterns in pancreatic and hepatic tumors, emphasize how microenvironmental differences, specifically cell pore size, profoundly impact therapeutic agent transport, with implications for drug delivery strategies in cancer therapy. These simulation-based insights enable researchers to anticipate nanofluid behavior in realistic settings. Future work, incorporating immune cells, will enhance the understanding of nanoparticle efficiency in cancer therapy.

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Zorin, Denis. "Session details: Quads & meshing". ACM Transactions on Graphics 32, n.º 4 (21 de julho de 2013). http://dx.doi.org/10.1145/3263979.

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Deulgaonkar, Vikas Radhakrishna. "Analysis of Vibration Characteristics of Transport Utility Vehicle by Finite Element Method". International Journal of Vehicle Structures and Systems 11, n.º 1 (21 de maio de 2019). http://dx.doi.org/10.4273/ijvss.11.1.12.

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Present work deals with the design and analysis vibration characteristics for transport utility vehicle. The transport utility vehicle is designed using automotive industry standards. The dynamic behaviour of vehicle depends on the selection of overall dimensions, wheel base, track width, overall height and width that are decided using central motor vehicle rules. The selected dimensions for vertical and horizontal pillar members of the transport bus are modified to enhance the strength, stiffness and stability of the superstructure during travel. This increased stability enhances the ride comfort and passenger safety. Analysing the effect of utilizing manual meshing in complex areas of a transport utility vehicle for vibration analysis and passenger ride comfort has also been carried out. Modal analysis to evaluate the dynamic behaviour of transport utility vehicle model is also carried. Further with the use of finite element analysis deflection vehicle structure is evaluated. The outcomes from the analysis are compared with the behaviour of chassis mounted platform in dynamic conditions and are found in close correlation. The vehicle structure behaves as a single entity in dynamic situations, so surface model is prepared. Element selection for the finite element analysis is carried by considering plane stress condition. Two-dimensional quadrilateral shell elements are extensively used for meshing of the computer model of the vehicle structure. Complex areas in the optimised vehicle structure are meshed using relevant combination of quads and trias. The values of vector sum displacement and frequencies are found to be in good agreement with the experimental ones.

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Cornelis, Eric, Johan Barthelemy, Xavier Pauly e Fabien Walle. "Modelling residential mobility towards a microsimulation of evolutions for populations". Les Cahiers Scientifiques du Transport - Scientific Papers in Transportation 62 | 2012 (30 de novembro de 2012). http://dx.doi.org/10.46298/cst.12121.

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Which are the determinants of residential mobility in Belgium? When moving, which are the factors impacting the choice of a new municipality for residence? These are the core questions within the MOBLOC project. In this framework a model was developed with two parts: a propensity to move model and a location model. The goal being to work at a fine spatially disaggregated level (589 Belgian municipalities) micro-simulation tools are also needed. The new method developed by the GRT for building synthetic populations together with techniques for simulating the evolutions of these populations along time are therefore quite useful. So together these tools and the developed models allow to undertake prospective studies and to estimate trends in residential locations for Belgium in the future on a quite accurate geographical meshing. In this paper, we mainly focus on developed methodologies and built models. Quels sont les déterminants de la mobilité résidentielle en Belgique ? Quand on déménage, quels sont les facteurs de choix d’une nouvelle commune de résidence ? Telles étaient les questions au cœur du projet MOBLOC. Dans ce cadre, un modèle a été développé en deux parties : un modèle de propension à migrer et un modèle de choix de nouvelle localisation. L’objectif étant de travailler avec un niveau de désagrégation spatiale fin (les 589 communes belges), des outils de micro-simulation étaient également nécessaires. La méthode originale développée par le GRT pour créer des populations synthétiques est donc utile de même que des techniques pour faire évoluer ces populations dans le temps. Ainsi, ces outils et les modèles développés permettent de réaliser des études prospectives et d’estimer les évolutions futures des localisations résidentielles en Belgique sur un maillage géographique fin. Dans cet article, nous présentons principalement les méthodologies développés et les modèles mis au point.

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