Mesh adaptation techniques are used to modify complex finite element meshes to reduce analysis time and improve accuracy. Modification of all-hexahedral meshes has proven difficult to the unique connectivity constraints they exhibit. This thesis presents an automated tool for local, conformal refinement of all-hexahedral meshes based on the insertion of multi-directional twist planes into the spatial twist continuum. The contributions of this thesis are (1) the ability to conformally refine all entities of an all-hexahedral element mesh, (2) the simplification of template insertion to multi-directional refinement. The refinement algorithm is divided into single hex sheet operations, where individual refinement steps are performed completely within a single hex sheet, and parallel sheet operation, where each refinement step occurs within two parallel hex sheets. Combining these two procedures facilitates the refinement of any mesh feature. Refinement is accomplished by replacing original mesh elements with one or more of six base templates selected by the number of nodes, flagged for refinement on the element. The refinement procedures are covered in detail with representative graphics and examples that illustrate the application of the techniques and the results of the refinement.
College and Department
Ira A. Fulton College of Engineering and Technology; Civil and Environmental Engineering
BYU ScholarsArchive Citation
Harris, Nathan, "Conformal Refinement of All-Hexahedral Finite Element Meshes" (2004). All Theses and Dissertations. 3461.
Conformal, Refinement, Hexahedral, Finite, Element, Mesh, Twist, Template, Hex, Nodes