Relevant bibliographies by topics / Tetrahedral mesh

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Tetrahedral mesh'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 June 2025

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Journal articles on the topic "Tetrahedral mesh"

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Peng, Biao, Chunhua Zhou, and Junqiang Ai. "Solution Reconstruction on Unstructured Tetrahedral Meshes Using P1-Conservative Interpolation." Advances in Applied Mathematics and Mechanics 8, no. 5 (2016): 847–70. http://dx.doi.org/10.4208/aamm.2015.m1087.

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AbstractThis paper extends an algorithm of P1-conservative interpolation on triangular meshes to tetrahedral meshes and thus constructs an approach of solution reconstruction for three-dimensional problems. The conservation property is achieved by local mesh intersection and the mass of a tetrahedron of the current mesh is calculated by the integral on its intersection with the background mesh. For each current tetrahedron, the overlapped background tetrahedrons are detected efficiently. A mesh intersection algorithm is proposed to construct the intersection of a current tetrahedron with the overlapped background tetrahedron and mesh the intersection region by tetrahedrons. A localization algorithm is employed to search the host units in background mesh for each vertex of the current mesh. In order to enforce the maximum principle and avoid the loss of monotonicity, correction of nodal interpolated solution on tetrahedral meshes is given. The performance of the present solution reconstruction method is verified by numerical experiments on several analytic functions and the solution of the flow around a sphere.
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Pébay, Philippe P., and David Thompson. "Communication-Free Streaming Mesh Refinement." Journal of Computing and Information Science in Engineering 5, no. 4 (2005): 309–16. http://dx.doi.org/10.1115/1.2052806.

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This article presents a technique for the adaptive refinement of tetrahedral meshes. What makes this method new is that no neighbor information is required for the refined mesh to be compatible everywhere. Refinement consists of inserting new vertices at edge midpoints until some tolerance (geometric or otherwise) is met. For a tetrahedron, the six edges present 26=64 possible subdivision combinations. The challenge is to triangulate the new vertices (i.e., the original vertices plus some subset of the edge midpoints) in a way that neighboring tetrahedra always generate the same triangles on their shared boundary. A geometric solution based on edge lengths was developed previously, but did not account for geometric degeneracies (edges of equal length). This article provides a solution that works in all cases, while remaining entirely communication-free.
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SAVCHENKO, Maria, Olga EGOROVA, Ichiro HAGIWARA, and Vladimir SAVCHENKO. "Tetrahedral Mesh Reduction Technique." Journal of Computational Science and Technology 3, no. 1 (2009): 183–95. http://dx.doi.org/10.1299/jcst.3.183.

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Guo, YuFei, YongQing Hai, and JianFei Liu. "Direct modifications of tetrahedral meshes." Engineering Computations 37, no. 9 (2020): 3361–85. http://dx.doi.org/10.1108/ec-12-2019-0573.

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Purpose During the industrial design process, a product is usually modified and analyzed repeatedly until reaching the final design. Modifying the model and regenerating a mesh for every update during this process is very time consuming. To improve efficiency, it is necessary to circumvent the computer-aided design modeling stage when possible and directly modify the meshes to save valuable time. The purpose of this paper is to develop a method for mesh modifications. Design/methodology/approach In contrast to existing studies, which focus on one or a class of modifications, this paper comprehensively studies mesh union, mesh gluing, mesh cutting and mesh partitioning. To improve the efficiency of the method, the paper presents a fast and effective surface mesh remeshing algorithm based on a ball-packing method and controls the remeshing regions with a size field. Findings Examples and results show that the proposed mesh modification method is efficient and effective. The proposed method can be also applied to meshes with different material properties, which is very different with previous work that is only suitable for the meshes with same material property. Originality/value This paper proposes an efficient and comprehensive tetrahedral mesh modification method, through which engineers can directly modify meshes instead of models and save time.
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Meshkat, Sia, and Dafna Talmor. "Generating a mixed mesh of hexahedra, pentahedra and tetrahedra from an underlying tetrahedral mesh." International Journal for Numerical Methods in Engineering 49, no. 1-2 (2000): 17–30. http://dx.doi.org/10.1002/1097-0207(20000910/20)49:1/2<17::aid-nme920>3.0.co;2-u.

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Luo, Dan, Yu Zhang, and Jia Li. "Research on Several Key Problems of Medical Image Segmentation and Virtual Surgery." Contrast Media & Molecular Imaging 2022 (April 11, 2022): 1–18. http://dx.doi.org/10.1155/2022/3463358.

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Medical images play an important role in modern medical diagnosis. Many clinicians make correct and appropriate diagnosis and treatment plans by means of medical images. With the development of science and technology, the application of medical image needs not only to simply read the image, but also to fuse advanced technology to analyze and process the image from a deeper level, such as the proposal of virtual surgery. Therefore, this article focuses on several key issues of medical image segmentation and virtual surgery. First, medical images are preprocessed by gray level transformation, interpolation, and noise elimination techniques. Second, level set model-based segmentation algorithm is adopted and improved. Finally, a constrained Delaunay tetrahedron method based on a point-by-point insertion method is proposed to reconstruct the tetrahedron mesh model. In order to eliminate the thin element, the tetrahedron mesh model is optimized. The simulation results show that this article improves the segmentation algorithm based on the level set model, which effectively improves the contradiction between the convergence accuracy and the convergence speed of the algorithm. The proposed tetrahedral mesh reconstruction algorithm realizes the generation of tetrahedral finite element meshes with complex boundaries and improves the quality of the volume model by optimizing the model.
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姜, 文芳. "Lagrange Interpolation on Tetrahedral Mesh." Advances in Applied Mathematics 07, no. 12 (2018): 1486–89. http://dx.doi.org/10.12677/aam.2018.712172.

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Danilov, A. A. "Unstructured tetrahedral mesh generation technology." Computational Mathematics and Mathematical Physics 50, no. 1 (2010): 139–56. http://dx.doi.org/10.1134/s0965542510010124.

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Knupp, P. M. "Hexahedral and Tetrahedral Mesh Untangling." Engineering with Computers 17, no. 3 (2001): 261–68. http://dx.doi.org/10.1007/s003660170006.

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Au, Kin Man, and Kai Ming Yu. "Balanced Octree for Tetrahedral Mesh Generation." Materials Science Forum 471-472 (December 2004): 608–12. http://dx.doi.org/10.4028/www.scientific.net/msf.471-472.608.

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Nowadays, with the advances of Finite Element Analysis (FEA) packages, some of the engineering and design problems such as stress or thermal deformation can be successfully solved. These are convenient for better incorporating the design constraints of various tasks such as injection molded parts, or rapid prototyping and tooling. Mesh generation is the major step of finite element method for numerical computation. Common types of mesh include triangulation or tetrahedralization. During the mesh generation process, we always find difficulty in the formation of a uniform, non-conformal mesh. The undesirable mesh will adversely influence the accuracy and meshing time of the model. This paper will, thus, propose an effective approach to extend to threedimensional (3D) mesh generation by octree balancing method so as to adjust the mesh pattern. In this paper, the implementation of octree balancing will be explained and illustrated with real life example. The proposed method includes three main steps. Problematic unbalanced octants will be detected and Steiner points will be added as appropriate before the tetrahedral mesh generation. The balanced octree will form good tetrahedral meshes for further analysis. Then the balanced and unbalanced meshes will be compared for efficiency and accuracy for mesh generation.
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Dissertations / Theses on the topic "Tetrahedral mesh"

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Syvertsen, Rolf Anders. "Tetrahedral mesh for needle insertion." Thesis, Norwegian University of Science and Technology, Department of Computer and Information Science, 2007. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-8791.

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<p>This is a Master’s thesis in how to make a tetrahedral mesh for use in a needle insertion simulator. It also describes how it is possible to make the simulator, and how to improve it to make it as realistic as possible. The medical simulator uses a haptic device, a haptic scene graph and a FEM for realistic soft tissue deformation and interaction. In this project a tetrahedral mesh is created from a polygon model, and then the mesh has been loaded into the HaptX haptic scene graph. The objects in the mesh have been made as different haptic objects, and then they have got a simple haptic surface to make it possible to touch them. There has not been implemented any code for the Hybrid Condensed FEM that has been described.</p>
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Ghadyani, Hamid R. "Tetrahedral Meshes in Biomedical Applications: Generation, Boundary Recovery and Quality Enhancements." Digital WPI, 2009. https://digitalcommons.wpi.edu/etd-dissertations/84.

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Mesh generation is a fundamental precursor to finite element implementations for solution of partial differential equations in engineering and science. This dissertation advances the field in three distinct but coupled areas. A robust and fast three dimensional mesh generator for arbitrarily shaped geometries was developed. It deploys nodes throughout the domain based upon user-specified mesh density requirements. The system is integer and pixel based which eliminates round off errors, substantial memory requirements and cpu intensive calculations. Linked, but fully detachable, to the mesh generation system is a physical boundary recovery routine. Frequently, the original boundary topology is required for specific boundary condition applications or multiple material constraints. Historically, this boundary preservation was not available. An algorithm was developed, refined and optimized that recovers the original boundaries, internal and external, with fidelity. Finally, a node repositioning algorithm was developed that maximizes the minimum solid angle of tetrahedral meshes. The highly coveted 2D Delaunay property that maximizes the minimum interior angle of a triangle mesh does not extend to its 3D counterpart, to maximize the minimum solid angle of a tetrahedron mesh. As a consequence, 3D Delaunay created meshes have unacceptable sliver tetrahedral elements albeit composed of 4 high quality triangle sides. These compromised elements are virtually unavoidable and can foil an otherwise intact mesh. The numerical optimization routine developed takes any preexisting tetrahedral mesh and repositions the nodes without changing the mesh topology so that the minimum solid angle of the tetrahedrons is maximized. The overall quality enhancement of the volume mesh might be small, depending upon the initial mesh. However, highly distorted elements that create ill-conditioned global matrices and foil a finite element solver are enhanced significantly.
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Wilson, Janet Kirsten. "Procedures for sequential and parallel automatic adaptive tetrahedral mesh generation." Thesis, Heriot-Watt University, 1997. http://hdl.handle.net/10399/1171.

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Hendriks, Adam Theodore 1975. "Solving the Cartesian cut-cell interpolation problem with a tetrahedral mesh." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/81560.

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Kunert, Gerd. "A posteriori error estimation for anisotropic tetrahedral and triangular finite element meshes." Doctoral thesis, [S.l. : s.n.], 1999. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB10324701.

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Globisch, G. "On an automatically parallel generation technique for tetrahedral meshes." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800499.

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In order to prepare modern finite element analysis a program for the efficient parallel generation of tetrahedral meshes in a wide class of three dimensional domains having a generalized cylindric shape is presented. The applied mesh generation strategy is based on the decomposition of some 2D-reference domain into single con- nected subdomains by means of its triangulations the tetrahedral layers are built up in parallel. Adaptive grid controlling as well as nodal renumbering algorithms are involved. In the paper several examples are incorporated to demonstrate both program's capabilities and the handling with.
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Park, Chulhoon. "Parallel implementation of hierarchical tetrahedral - octahedral (HTO) subdivision for 3-D finite element mesh refinement." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=99529.

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Parallel computing is being used more and more frequently in 3-D finite element (FE) mesh generation in electromagnetics, due to its improvements in efficiency. When applying parallel computing, the computational problem usually needs to be broken into discrete pieces, so that it can be solved simultaneously with multiple compute resources. Less time is then required than with a single compute resource. In this thesis, an algorithm for hierarchical tetrahedral---octahedral (HTO) subdivision was studied and implemented with a parallel message passing interface (MPI). The data structure was designed in such a way as to store the geometric data during the mesh computation. Also, broadcasting and data gathering was used to build up the final geometric file. The experimental results and the enhancement of system performance are presented, comparing sequential computing with parallel computing. The program was implemented in C language/MPI, and the results obtained have made use of the CLUMEQ1 supercomputer Centre facilities at McGill University.<br>1CLUMEQ stands for Consortium Laval UQAM McGill and Eastern Quebec for high performance computing.
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Apel, Thomas, and Nico Düvelmeyer. "Transformation of hexahedral finite element meshes into tetrahedral meshes according to quality criteria." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601295.

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The paper is concerned with algorithms for transforming hexahedral finite element meshes into tetrahedral meshes without introducing new nodes. Known algorithms use only the topological structure of the hexahedral mesh but no geometry information. The paper provides another algorithm which can be extented such that quality criteria for the splitting of faces are respected.
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Paudel, Gaurab. "Hexahedral Mesh Refinement Using an Error Sizing Function." BYU ScholarsArchive, 2011. https://scholarsarchive.byu.edu/etd/3447.

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The ability to effectively adapt a mesh is a very important feature of high fidelity finite element modeling. In a finite element analysis, a relatively high node density is desired in areas of the model where there are high error estimates from an initial analysis. Providing a higher node density in such areas improves the accuracy of the model and reduces the computational time compared to having a high node density over the entire model. Node densities can be determined for any model using the sizing functions based on the geometry of the model or the error estimates from the finite element analysis. Robust methods for mesh adaptation using sizing functions are available for refining triangular, tetrahedral, and quadrilateral elements. However, little work has been published for adaptively refining all hexahedral meshes using sizing functions. This thesis describes a new approach to drive hexahedral refinement based upon an error sizing function and a mechanism to compare the sizes of the node after refinement.
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Kunert, Gerd, and Serge Nicaise. "Zienkiewicz-Zhu error estimators on anisotropic tetrahedral and triangular finite element meshes." Universitätsbibliothek Chemnitz, 2001. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200100599.

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We consider a posteriori error estimators that can be applied to anisotropic tetrahedral finite element meshes, i.e. meshes where the aspect ratio of the elements can be arbitrarily large. Two kinds of Zienkiewicz-Zhu (ZZ) type error estimators are derived which are both based on some recovered gradient. Two different, rigorous analytical approaches yield the equivalence of both ZZ error estimators to a known residual error estimator. Thus reliability and efficiency of the ZZ error estimation is obtained. Particular attention is paid to the requirements on the anisotropic mesh. The analysis is complemented and confirmed by several numerical examples.
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Books on the topic "Tetrahedral mesh"

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Biswas, R. Mesh quality control for multiply-refined tetrahedral grids. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1994.

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Mesh quality control for multiply-refined tetrahedral grids. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1994.

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Book chapters on the topic "Tetrahedral mesh"

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Cheng, Ho-Lun, and Xinwei Shi. "Quality Tetrahedral Mesh Generation for Macromolecules." In Algorithms and Computation. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11940128_22.

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Biswasl, Rupak, and Roger C. Strawn. "Dynamic mesh adaption for tetrahedral grids." In Lecture Notes in Physics. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/3-540-59280-6_109.

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de L’isle, Eric Brière, and Paul Louis George. "Optimization of Tetrahedral Meshes." In Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-4248-2_6.

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Misztal, Marek Krzysztof, Jakob Andreas Bærentzen, François Anton, and Kenny Erleben. "Tetrahedral Mesh Improvement Using Multi-face Retriangulation." In Proceedings of the 18th International Meshing Roundtable. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04319-2_31.

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Fuhrmann, Jürgen, and Hang Si. "Tetgen: Tetrahedral Mesh Generation for Complex Simulations." In Mathematics in Industry. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81455-7_24.

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Montenegro, Rafael, José María Escobar, Eduardo Rodríguez, Gustavo Montero, and José María González-Yuste. "Improved Objective Functions for Tetrahedral Mesh Optimisation." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/3-540-44860-8_59.

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Chen, Minxin, Bin Tu, and Benzhuo Lu. "Surface Triangular Mesh and Volume Tetrahedral Mesh Generations for Biomolecular Modeling." In Lecture Notes in Computational Vision and Biomechanics. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-4255-0_6.

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Picciau, Giulia, Patricio Simari, Federico Iuricich, and Leila De Floriani. "Supertetras: A Superpixel Analog for Tetrahedral Mesh Oversegmentation." In Image Analysis and Processing — ICIAP 2015. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23231-7_34.

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Balboa, Fernando, Pedro Rodriguez-Moreno, and María-Cecilia Rivara. "Terminal Star Operations Algorithm for Tetrahedral Mesh Improvement." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13992-6_15.

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Yin, Xiaotian, Wei Han, Xianfeng Gu, and Shing-Tung Yau. "The Cutting Pattern Problem for Tetrahedral Mesh Generation." In Proceedings of the 20th International Meshing Roundtable. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-24734-7_12.

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Conference papers on the topic "Tetrahedral mesh"

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Merckx, Jannes, Arnold J. den Dekker, Jan De Beenhouwer, and Jan Sijbers. "Fast and efficient tetrahedral volume mesh reconstruction with CAD-ASTRA." In Developments in X-Ray Tomography XV, edited by Bert Müller and Ge Wang. SPIE, 2024. http://dx.doi.org/10.1117/12.3027610.

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Qian, Yuehui, Guoxi Liu, Federico Iuricich, and Leila De Floriani. "Efficient representation and analysis for a large tetrahedral mesh using Apache Spark." In 2024 IEEE Topological Data Analysis and Visualization (TopoInVis). IEEE, 2024. http://dx.doi.org/10.1109/topoinvis64104.2024.00005.

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Insero, Federico, Valentina Furlan, and Hermes Giberti. "Non-planar slicing algorithm based on Geodesic field on Tetrahedral mesh for AM fabrication." In 2024 20th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications (MESA). IEEE, 2024. http://dx.doi.org/10.1109/mesa61532.2024.10704846.

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Xia, Tian, and Eric Shaffer. "Streaming tetrahedral mesh optimization." In the 2008 ACM symposium. ACM Press, 2008. http://dx.doi.org/10.1145/1364901.1364940.

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Serna, Sebastian Pena, Andre Stork, and Dieter W. Fellner. "Tetrahedral Mesh-Based Embodiment Design." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28971.

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The engineering design is a systematic approach implemented in the product development process, which is composed of several phases and supported by different tools. Computer-Aided Design (CAD) and Computer-Aided Engineering (CAE) tools are particularly dedicated to the embodiment phase and these enable engineers to design and analyze a potential solution. Nonetheless, the lack of integration between CAD and CAE restricts the exploration of design variations. Hence, we aim at incorporating functionalities of a CAD system within a CAE environment, by means of building a high level representation of the mesh and allowing the engineer to handle and manipulate semantic features, avoiding the direct manipulation of single elements. Thus, the engineer will be able to perform extruding, rounding or dragging operations regardless of geometrical and topological limitations. We present in this paper, the intelligence that a simulating mesh needs to support, in order to enable such operations.
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Song, Wenhao, and Ligang Liu. "Stretch-based tetrahedral mesh manipulation." In Graphics Interface 2007. ACM Press, 2007. http://dx.doi.org/10.1145/1268517.1268569.

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Yamakawa, Soji, and Kenji Shimada. "Converting a tetrahedral mesh to a prism-tetrahedral hybrid mesh for FEM accuracy and efficiency." In the 2008 ACM symposium. ACM Press, 2008. http://dx.doi.org/10.1145/1364901.1364941.

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Tian, Sulei, Zhiyi Zhang, Xian Zhang, and Min Chen. "Tetrahedral Mesh Generation Based on Contours." In 2010 International Conference on Multimedia Technology (ICMT). IEEE, 2010. http://dx.doi.org/10.1109/icmult.2010.5631003.

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Shewchuk, Jonathan Richard. "Tetrahedral mesh generation by Delaunay refinement." In the fourteenth annual symposium. ACM Press, 1998. http://dx.doi.org/10.1145/276884.276894.

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Wang, Jun, and Zeyun Yu. "Adaptive and quality tetrahedral mesh generation." In 2011 IEEE International Conference on Computer Science and Automation Engineering (CSAE). IEEE, 2011. http://dx.doi.org/10.1109/csae.2011.5952690.

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Reports on the topic "Tetrahedral mesh"

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Thompson, David C., and Philippe Pierre Pebay. Parallel tetrahedral mesh refinement with MOAB. Office of Scientific and Technical Information (OSTI), 2008. http://dx.doi.org/10.2172/948286.

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Freitag, L. A., and C. Ollivier-Gooch. A comparison of tetrahedral mesh improvement techniques. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/414383.

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Martín, A., L. Cirrottola, A. Froehly, R. Rossi, and C. Soriano. D2.2 First release of the octree mesh-generation capabilities and of the parallel mesh adaptation kernel. Scipedia, 2021. http://dx.doi.org/10.23967/exaqute.2021.2.010.

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This document presents a description of the octree mesh-generation capabilities and of the parallel mesh adaptation kernel. As it is discussed in Section 1.3.2 of part B of the project proposal there are two parallel research lines aimed at developing scalable adaptive mesh refinement (AMR) algorithms and implementations. The first one is based on using octree-based mesh generation and adaptation for the whole simulation in combination with unfitted finite element methods (FEMs) and the use of algebraic constraints to deal with non-conformity of spaces. On the other hand the second strategy is based on the use of an initial octree mesh that, after make it conforming through the addition of templatebased tetrahedral refinements, is adapted anisotropically during the calculation. Regarding the first strategy the following items are included:
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Ansari, S. M., E. M. Schetselaar, and J. A. Craven. Three-dimensional magnetotelluric modelling of the Lalor volcanogenic massive-sulfide deposit, Manitoba. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/328003.

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Unconstrained magnetotelluric inversion commonly produces insufficient inherent resolution to image ore-system fluid pathways that were structurally thinned during post-emplacement tectonic activity. To improve the resolution in these complex environments, we synthesized the 3-D magnetotelluric (MT) response for geologically realistic models using a finite-element-based forward-modelling tool with unstructured meshes and applied it to the Lalor volcanogenic massive-sulfide deposit in the Snow Lake mining camp, Manitoba. This new tool is based on mapping interpolated or simulated resistivity values from wireline logs onto unstructured tetrahedral meshes to reflect, with the help of 3-D models obtained from lithostratigraphic and lithofacies drillhole logs, the complexity of the host-rock geological structure. The resulting stochastic model provides a more realistic representation of the heterogeneous spatial distribution of the electric resistivity values around the massive, stringer, and disseminated sulfide ore zones. Both models were combined into one seamless tetrahedral mesh of the resistivity field. To capture the complex resistivity distribution in the geophysical forward model, a finite-element code was developed. Comparative analyses of the forward models with MT data acquired at the Earth's surface show a reasonable agreement that explains the regional variations associated with the host rock geological structure and detects the local anomalies associated with the MT response of the ore zones.
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Trahan, Corey, Jing-Ru Cheng, and Amanda Hines. ERDC-PT : a multidimensional particle tracking model. Engineer Research and Development Center (U.S.), 2023. http://dx.doi.org/10.21079/11681/48057.

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This report describes the technical engine details of the particle- and species-tracking software ERDC-PT. The development of ERDC-PT leveraged a legacy ERDC tracking model, “PT123,” developed by a civil works basic research project titled “Efficient Resolution of Complex Transport Phenomena Using Eulerian-Lagrangian Techniques” and in part by the System-Wide Water Resources Program. Given hydrodynamic velocities, ERDC-PT can track thousands of massless particles on 2D and 3D unstructured or converted structured meshes through distributed processing. At the time of this report, ERDC-PT supports triangular elements in 2D and tetrahedral elements in 3D. First-, second-, and fourth-order Runge-Kutta time integration methods are included in ERDC-PT to solve the ordinary differential equations describing the motion of particles. An element-by-element tracking algorithm is used for efficient particle tracking over the mesh. ERDC-PT tracks particles along the closed and free surface boundaries by velocity projection and stops tracking when a particle encounters the open boundary. In addition to passive particles, ERDC-PT can transport behavioral species, such as oyster larvae. This report is the first report of the series describing the technical details of the tracking engine. It details the governing equation and numerical approaching associated with ERDC-PT Version 1.0 contents.
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