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Dissertations / Theses on the topic 'Tetrahedral mesh'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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1

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 sur

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2

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 gen

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3

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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4

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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5

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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6

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 capabi

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7

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 desi

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8

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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9

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

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10

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

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11

Freitas, Markos Oliveira. "Parallel Generation of Tetrahedral Meshes with Cracks by Spatial Binary Decomposition." Universidade Federal do CearÃ, 2015. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14287.

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CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior<br>This work describes a technique for generating three-dimensional tetrahedral meshes using parallel computing, with shared, distributed, or hybrid memory processors. The input for the algorithm is a triangular mesh that models the surface of one of several objects, that might have holes in its interior or internal or boundary cracks. A binary tree structure for spatial partitioning is proposed in this work to recursively decompose the domain in as many subdomains as processes or threads in the parallel system, in which every subdomai

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12

Zhang, Zhao. "Unstructured mesh methods for stratified turbulent flows." Thesis, Loughborough University, 2015. https://dspace.lboro.ac.uk/2134/16617.

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Developments are reported of unstructured-mesh methods for simulating stratified, turbulent and shear flows. The numerical model employs nonoscillatory forward in-time integrators for anelastic and incompressible flow PDEs, built on Multidimensional Positive Definite Advection Transport Algorithm (MPDATA) and a preconditioned conjugate residual elliptic solver. Finite-volume spatial discretisation adopts an edge-based data structure. Tetrahedral-based and hybrid-based median-dual options for unstructured meshes are developed, enabling flexible spatial resolution. Viscous laminar and detached e

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13

Anand, Nagarajan. "A Conforming to Interface Structured Adaptive Mesh Refinement for Modeling Complex Morphologies." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1574436067401755.

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14

Kunert, G. "Ein Residuenfehlerschätzer für anisotrope Tetraedernetze und Dreiecksnetze in der Finite-Elemente-Methode." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800691.

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Some boundary value problems yield anisotropic solutions, e.g. solutions with boundary layers. If such problems are to be solved with the finite element method (FEM), anisotropically refined meshes can be advantageous. In order to construct these meshes or to control the error one aims at reliable error estimators. For isotropic meshes such estimators are known but they fail when applied to anisotropic meshes. Rectangular (or cuboidal) anisotropic meshes were already investigated. In this paper an error estimator is presented for tetrahedral or triangular meshes which offer a much greater geom

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15

Hromádka, David. "Knihovna pro práci s tetraedrální sítí." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2013. http://www.nusl.cz/ntk/nusl-236406.

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Many architecure, medical and engineering applications need a spacial support for various numerical computations (i.e. FEM simulations). Tetrahedral meshes are one of perspective spatial representations for them. In this thesis, several possibilities of effective tetrahedral mesh representation for its generating and processing are described. A computer library for the mesh processing is proposed which can be characterized by memory efficient imposition of the mesh while preserving the ability to apply topological and geometric algorithms effectively. The library is implemented in C++ languag

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16

Moroney, Timothy John. "An investigation of a finite volume method incorporating radial basis functions for simulating nonlinear transport." Thesis, Queensland University of Technology, 2006. https://eprints.qut.edu.au/16303/1/Timothy_Moroney_Thesis.pdf.

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The objective of this PhD research programme is to investigate the effectiveness of a finite volume method incorporating radial basis functions for simulating nonlinear transport processes. The finite volume method is the favoured numerical technique for solving the advection-diffusion equations that arise in transport simulation. The method transforms the original problem into a system of nonlinear, algebraic equations through the process of discretisation. The accuracy of this discretisation determines to a large extent the accuracy of the final solution. A new method of discretisatio

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17

Moroney, Timothy John. "An investigation of a finite volume method incorporating radial basis functions for simulating nonlinear transport." Queensland University of Technology, 2006. http://eprints.qut.edu.au/16303/.

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The objective of this PhD research programme is to investigate the effectiveness of a finite volume method incorporating radial basis functions for simulating nonlinear transport processes. The finite volume method is the favoured numerical technique for solving the advection-diffusion equations that arise in transport simulation. The method transforms the original problem into a system of nonlinear, algebraic equations through the process of discretisation. The accuracy of this discretisation determines to a large extent the accuracy of the final solution. A new method of discretisation is

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18

Walton, Kirk S. "Sculpting: An Improved Inside-out Scheme for All Hexahedral Meshing." BYU ScholarsArchive, 2003. https://scholarsarchive.byu.edu/etd/3451.

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Generating all hexahedral meshes on arbitrary geometries has been an area of important research in recent history. Hexahedral meshes have advantages over tetrahedral meshes in structural mechanics because they provide more accurate results with fewer degrees of freedom. Many different approaches have been used to create all-hexahedral meshes. Grid-based, inside-out, or superposition meshing all refer to a similar meshing approach that is a very common mesh generation technique. Grid-based algorithms provide the ability to generate all hexahedral meshes by introducing a structured mesh that bou

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19

Ren, Da Qi. "Analysis and design development of parallel 3-D mesh refinement algorithms for finite element electromagnetics with tetrahedra." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103003.

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Optimal partitioning of three-dimensional (3-D) mesh applications necessitates dynamically determining and optimizing for the most time-inhibiting factors, such as load imbalance and communication volume. One challenge is to create an analytical model where the programmer can focus on optimizing load imbalance or communication volume to reduce execution time. Another challenge is the best individual performance of a specific mesh refinement demands precise study and the selection of the suitable computation strategy. Very-large-scale finite element method (FEM) applications require sophisticat

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20

Dorica, Mark. "Novel mesh quality improvement systems for enhanced accuracy and efficiency of adaptive finite element electromagnetics with tetrahedra." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=80008.

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Finite element accuracy and efficiency can be directly affected by mesh quality. When employing h-adaptive solution strategies, a mesh improvement stage is required in order to ensure high quality tetrahedra. However, mesh improvement techniques and quality indicators are often based on purely geometrical considerations. Recent work has focused on theoretically linking mesh quality criteria to interpolation and discretization errors. The potential benefits and related costs of a family of new mesh quality improvement systems are investigated using a set of electromagnetic benchmarks and

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21

Öhrblad, Henrik, and Henrik Berglund. "Component Meshing Methodology." Thesis, Linköping University, Department of Management and Engineering, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-10683.

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<p>In order to achieve results that are reliable when using the finite element method one has to use an acceptable element mesh with respect to the shape and size of the elements. As a help to produce an acceptable mesh there are quality criteria that must be fulfilled in most pre-processors.</p><p>One objective with this thesis is to perform a sensitivity study that can be used as a basis for a Mesh guideline for chassis parts which is requested from engineers at Volvo 3P. The software used in the sensitivity study is ANSA as pre-processor, Nastran as solver and Metapost as post-processor.</p

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22

Chang, Wen-Hsiang, and 張文祥. "Generation of Prismatic and Tetrahedral Hybrid Mesh." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/17647150248929736896.

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碩士<br>國立成功大學<br>航空太空工程學系碩博士班<br>91<br>The application of unstructured mesh in computational fluid dynamic becomes very important because of its availability of triangulating complicated geometry and its simplicity for use of adaptive mesh technique. To efficiently treat the problem with complicated geometry, the CAD software of CATIA is adopted in this paper to provide geometry which we need. Firstly, the CAD software of CATIA is used to create the unstructured triangular meshes on surfaces of geometry to form the boundary meshes, then the data of boundary meshes is transformed to combine with

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23

Mukherjee, Koyel. "Simulation of tetrahedral mesh based organ deformation using parameter optimized spring constants." 2008. http://hdl.handle.net/10106/1055.

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24

Ivanov, Evgeny [Verfasser]. "Parallel tetrahedral mesh generation based on a-priori domain decomposition / vorgelegt von Evgeny Ivanov." 2008. http://d-nb.info/987399861/34.

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25

Tseng, Kun-Chang, and 曾坤樟. "Development of a General-Purpose Parallel Three-Dimensional DSMC Code (PDSC) Using Unstructured Tetrahedral Mesh." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/37339540705722627633.

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博士<br>國立交通大學<br>機械工程系所<br>93<br>A general-purpose parallel three-dimensional direct simulation Monte Carlo code (PDSC) using unstructured tetrahedral mesh is developed and validated in this thesis. Important features of this PDSC include parallel processing with dynamic domain decomposition, combination of variable time-step scheme with solution-based adaptive mesh refinement, conservative weighting scheme for treating trace species and chemical reaction functions for hypersonic air flows. A multi-level graph-partitioning technique is employed to adaptively decompose the computational domain a

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26

Labsik, Ulf [Verfasser]. "Multiresolution mesh processing for triangular and tetrahedral meshes = Multiresolution-Verarbeitung von Dreiecks- und Tetraedernetzen / vorgelegt von Ulf Labsik." 2004. http://d-nb.info/97181404X/34.

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27

Kotovshchikova, Marina. "On a third-order FVTD scheme for three-dimensional Maxwell's Equations." 2016. http://hdl.handle.net/1993/31035.

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This thesis considers the application of the type II third order WENO finite volume reconstruction for unstructured tetrahedral meshes proposed by Zhang and Shu in (CCP, 2009) and the third order multirate Runge-Kutta time-stepping to the solution of Maxwell's equations. The dependance of accuracy of the third order WENO scheme on the small parameter in the definition of non-linear weights is studied in detail for one-dimensional uniform meshes and numerical results confirming the theoretical analysis are presented for the linear advection equation. This analysis is found to be crucial in the

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Narayan, Shashi. "Smooth Finite Element Methods with Polynomial Reproducing Shape Functions." Thesis, 2013. http://etd.iisc.ac.in/handle/2005/3332.

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A couple of discretization schemes, based on an FE-like tessellation of the domain and polynomial reproducing, globally smooth shape functions, are considered and numerically explored to a limited extent. The first one among these is an existing scheme, the smooth DMS-FEM, that employs Delaunay triangulation or tetrahedralization (as approximate) towards discretizing the domain geometry employs triangular (tetrahedral) B-splines as kernel functions en route to the construction of polynomial reproducing functional approximations. In order to verify the numerical accuracy of the smooth DMS-FEM v

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Narayan, Shashi. "Smooth Finite Element Methods with Polynomial Reproducing Shape Functions." Thesis, 2013. http://etd.iisc.ernet.in/2005/3332.

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A couple of discretization schemes, based on an FE-like tessellation of the domain and polynomial reproducing, globally smooth shape functions, are considered and numerically explored to a limited extent. The first one among these is an existing scheme, the smooth DMS-FEM, that employs Delaunay triangulation or tetrahedralization (as approximate) towards discretizing the domain geometry employs triangular (tetrahedral) B-splines as kernel functions en route to the construction of polynomial reproducing functional approximations. In order to verify the numerical accuracy of the smooth DMS-FEM v

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30

Cheng, Chi-Hung, and 鄭啟宏. "Facial Deformation Simulation with Tetrahedron Mesh in Orthodontic Treatment." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/2rhp84.

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碩士<br>國立中正大學<br>機械工程學系暨研究所<br>99<br>The purpose of this thesis is to develop a surgical simulation system applied to orthodontic treatment with tetrahedron mesh. In the traditional process of orthodontic treatment, drafting is the most usual way to make patients understand the differences of appearances before and after operations. However, for the patients, the simulation is not real enough. Recently, there are some of the simulations with computer calculation to do the researches about face deformation simulation, but they can only be presented in 2D and the changes of the whole appearance a

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