Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.636734
Title: Three-dimensional mesh generation and visualization for finite elements : principles and practice
Author: Zheng, Y.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1995
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Abstract:
Mesh generation and visualization is a bottleneck problem in all finite element based numerical simulations. The research work reported in this thesis is a step towards integration of a 3D unstructured mesh generation toolkit. Both theoretical and implementational aspects are addressed. The general concepts of mesh generation have been presented. In the light of these concepts, the fundamental aspects of Delaunay triangulation for the unstructured mesh generator have been formulated. Steiner point creation algorithm has been examined by means of numerical experiments with respect to mesh control parameters. Concepts of point spacing tensor and point insertion criterion have been introduced aiming to deal with anisotropic meshes. Surface meshes are created based on 2D geometries by means of coordinate mapping. Triangular and quadrilateral patches in linear and quadratic forms and Non-Uniform Rational B-Spline (NURBS) patches have been used to define surface geometry. The mesh quality improvement has been discussed in terms of parametric plane stretching, diagonal swapping and smoothing procedures. Volume meshes are generated through 3D triangulation and interior point creation based on the surface meshes. Boundary surface conformity is gained via edge swapping, boundary edge and surface recovery, and the robustness of the algorithm has been discussed in a view of the accuracy of geometric judgements. Quality metrics for tetrahedral elements, mesh smoothing technique, visual quality assessment, and adaptivity extension have been discussed. Data conversion between this mesh generator and some existing CAD packages has been considered. Additionally, a scheme of interactive topology specification has been put forward for a 3D multiblock mesh generator. Finally, a finite element visualization facility FEView has been presented. This visualization tool is implemented based upon a object-oriented graphics library, and works as an external module to an interactive program Geomview. Within the FEView, a mesh can be considered as a collection of faces with edges, wire frame, point and element clouds, and the FE analysis results can be visualized via color shading and field icons. FEView provides functions such as domain control, animation control, and local analysis. Numerical results for 2D cases can be shown with 3D effects by using values of the scalar field.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.636734  DOI: Not available
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