Abstract

This project aims at the development of analysis-suitable subdivision solids. In the first part our experience with subdivision surfaces already obtained in previous projects is increased by the consideration of a heat conductivity problem in a three-dimensional object with the boundary element method (BEM). In the second part of the project, we will focus on the development of trivariate subdivision splines. When used to create solid meshes, we can create a generally applicable workflow for analyzing solid objects, using Galerkin-based isogeometric analysis. For the purpose of verification, some of these results can then be compared to the BEM approach considered in the first part of the project. Additionally, we will take a look at adaptive refinement. Because of the existing possibilities regarding solid meshing and refinement, our initial preference goes to schemes based on triangles and tetrahedrons (i.e. three-directional box-spline schemes and their trivariate extensions). Another option would be to look into schemes based on quadrilaterals and hexahedrons, combined with hierarchical refinement.

Pieter Barendrecht is currently working on his master’s thesis in the department of Mechanical Engineering at Eindhoven University of Technology.