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Isogeometric Computation Reuse Method for Complex Objects with Topology-Consistent Volumetric Parameterization

Title:

Isogeometric Computation Reuse Method for Complex Objects with Topology-Consistent Volumetric Parameterization

Xu, Gang, Kwok, Tsz Ho ORCID: https://orcid.org/0000-0001-7240-1426 and Wang, Charlie C.L. (2017) Isogeometric Computation Reuse Method for Complex Objects with Topology-Consistent Volumetric Parameterization. Computer-Aided Design, 91 . pp. 1-13.

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Official URL: http://dx.doi.org/10.1016/j.cad.2017.04.002

Abstract

Volumetric spline parameterization and computational efficiency are two main challenges in isogeometric analysis (IGA). To tackle this problem, we propose a framework of computation reuse in IGA on a set of three-dimensional models with similar semantic features. Given a template domain, B-spline based consistent volumetric parameterization is first constructed for a set of models with similar semantic features. An efficient quadrature-free method is investigated in our framework to compute the entries of stiffness matrix by Bezier extraction and polynomial approximation. In our approach, evaluation on the stiffness matrix and imposition of the boundary conditions can be pre-computed and reused during IGA on a set of CAD models. Examples with complex geometry are presented to show the effectiveness of our methods, and efficiency similar to the computation in linear finite element analysis can be achieved for IGA taken on a set of models.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Mechanical, Industrial and Aerospace Engineering
Item Type:Article
Refereed:Yes
Authors:Xu, Gang and Kwok, Tsz Ho and Wang, Charlie C.L.
Journal or Publication:Computer-Aided Design
Date:October 2017
Digital Object Identifier (DOI):10.1016/j.cad.2017.04.002
Keywords:Computation reuse, Isogeometric analysis, Consistent volume parameterization
ID Code:983467
Deposited By: TSZ HO KWOK
Deposited On:05 Feb 2018 14:24
Last Modified:05 Feb 2018 14:24

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