Global ETD Search
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Showing 1 to 20 of 21 for “"tetrahedral meshes"”.
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A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes
… problems on structured and unstructured tetrahedral meshes. We present a local error analysis to derive a discontinuous Galerkin orthogonality condition for the leading term of the discretization error and find basis functions spanning the error for several finite element spaces. We …
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Three dimensional fracture mechanics computations using tetrahedral finite elements
… create complicated 3-D models and mesh them with tetrahedral elements with relative ease, the application of finite element techniques in mechanical design has reached unprecedented proportions. However, the extension of these techniques to fracture mechanics studies is hindered by the …
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Well-Centered Meshing
… of the well-centered simplex and well-centered meshes, present experimental results from an optimization method designed to make meshes well-centered, and give examples of well-centered tetrahedral meshes of a variety of three-dimensional regions.
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Well-centered meshing
… of the well-centered simplex and well-centered meshes, present experimental results from an optimization method designed to make meshes well-centered, and give examples of well-centered tetrahedral meshes of a variety of three-dimensional regions.
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Tetrahedral mesh optimization and generation via topological transformations and gradient based node perturbation
A general tetrahedral mesh optimization scheme utilizing both topological changes (i.e. flips) and gradient-based vertex optimization (i.e. smoothing) is demonstrated. This scheme is used in the optimization of tetrahedral meshes created by third-party software as well as a grid generation …
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Characterization of the cellular structure of foamed cement using x-ray computed tomography
… cement. Following the quantitative analysis, 3D tetrahedral meshes were also created for one sample in every target density. In the analysis of the bulk volumetric properties, the X-ray CT data showed an increase in percent air volume with a decrease in density. The X-ray CT data showed good …
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An adaptive framework for high-order, mixed-element numerical simulations
… simulation framework to allow for mixed-element meshes in two dimensions. Contributions are focused in the area of mesh generation which employs the Lk norm to produce various mesh types. Mixed-element meshes are obtained by first using the L[alpha] norm to create a right-triangulation which is …
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Compact 3D Representations
… non-orientability) and can compress simplicial meshes of any dimension embedded in spaces of any dimension. Testing of DR-RAMC shows competitive compression rates for triangle meshes and first-ever random accessible compression rates for tetrahedral meshes.
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Mesh generation by domain bisection
… generating three dimensional unstructured tetrahedral meshes. The work on two dimensional triangular unstructured grid generation by Lewis and Robinson [LeR76] is first examined, in which a recursive bisection technique of computational order nlog(n) was implemented. This technique is then …
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3D Numerical Modeling of the Turbulent Flow in Hydraulic Structures
… geometries were discretized into unstructured tetrahedral meshes. A FEM flow solver was used with the k-epsilon model as the turbulence closure. The rigid-lid assumption was employed to simplify the modeling of the water surface. The MPI parallization of the code and the utilization of …
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Applications of finite element method in studying mechanical behavior of concrete materials on different scales
… scan providing the foam geometry information, tetrahedral meshes are generated for rendering the microstructure, which is further used for simulating a uniaxial compression test in Abaqus/CAE. The simulation result is qualitatively reasonable, suggesting a potential of using this approach for …
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Field D* pathfinding in weighted simplicial complexes
… – specifically – triangulations in 2D and tetrahedral meshes in 3D.
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Volumetric Mapping for Medical Imaging and Geometry Processing
… methods for mapping volumes represented as tetrahedral meshes. We are motivated by problems in medical imaging using magnetic resonance imaging (MRI) of the placenta to study placental health and function. This application presents a challenging problem setting relevant for mapping tasks in …
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Finite Element Simulation of Interfacial Flows on Unstructured Meshes using a Second-order Accurate VOF Method
… for curvature calculation on triangular meshes, and then used to implement surface tension forces on a single layer of interface elements. A dynamic contact angle model is implemented based on the Kistler correlation, that serves as a means to evaluate the dynamic contact angle as a …
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Three-dimensional upward scheme for solving the Euler equations on unstructured tetrahedral grids
… Euler equations on unstructured tetrahedral meshes. The method yields solution accuracy and efficiency comparable to that currently available from similar structured-grid codes. The key to achieving this result is a novel cell reconstruction process which is based on an analytical …
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An anisotropic adaptive method for the solution of 3-D inviscid and viscous compressible flows
… algorithm originally applied on quadrilateral meshes. The adaptive methodology has been validated on various benchmark cases on both hexahedral and tetrahedral meshes. The numerical results obtained span inviscid and viscous flows, as well as internal and external aerodynamics. The …
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Machine learning and interactive real-time simulation for training on relevant total hip replacement skills.
… deformation methods on high-resolution meshes are based on geometrical collision detection and do not consider the contribution of the materials’ physical properties. By ignoring the effect of the material mechanics and the force exerted by the user, they become inadequate for training …
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Towards a framework for multi class statistical modelling of shape, intensity and kinematics in medical images
… correspondence across volumetric shapes (such as tetrahedral meshes) while preserving the spatial relationship between them. Next, the framework for developing statistical shape-kinematics models from in-correspondence multi-volumetric shapes embedding image intensity distribution, is presented. …
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Towards a framework for multi class statistical modelling of shape, intensity, and kinematics in medical images
… correspondence across volumetric shapes (such as tetrahedral meshes) while preserving the spatial relationship between them. Next, the framework for developing statistical shape-kinematics models from in-correspondence multi-volumetric shapes embedding image intensity distribution, is presented. …
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Residual-based turbulence models for incompressible flows in domains with moving boundaries
This dissertation presents residual-based turbulence models for problems with moving boundaries and interfaces. The method is derived employing the Variational Multiscale (VMS) framework, which gives rise to several modeling options that are exploited to obtain accurate turbulence models. To …
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