Scan-Based Immersed Isogeometric Flow Analysis

Clemens V. Verhoosel*, E. Harald van Brummelen, Sai C. Divi, Frits de Prenter

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeChapterScientificpeer-review

Abstract

This chapter reviews the work conducted by our team on scan-based immersed isogeometric analysis for flow problems. To leverage the advantageous properties of isogeometric analysis on complex scan-based domains, various innovations have been made: (i) A spline-based segmentation strategy has been developed to extract a geometry suitable for immersed analysis directly from scan data; (ii) A stabilized equal-order velocity-pressure formulation for the Stokes problem has been proposed to attain stable results on immersed domains; (iii) An adaptive integration quadrature procedure has been developed to improve computational efficiency; (iv) A mesh refinement strategy has been developed to capture small features at a priori unknown locations, without drastically increasing the computational cost of the scan-based analysis workflow. We review the key ideas behind each of these innovations, and illustrate these using a selection of simulation results from our work. A patient-specific scan-based analysis case is reproduced to illustrate how these innovations enable the simulation of flow problems on complex scan data.

Original languageEnglish
Title of host publicationModeling and Simulation in Science, Engineering and Technology
EditorsTayfun E. Tezduyar
PublisherBirkhauser Verlag Basel
Pages477-512
Number of pages36
ISBN (Electronic)978-3-031-36942-1
ISBN (Print)978-3-031-36944-5, 978-3-031-36941-4
DOIs
Publication statusPublished - 2023

Publication series

NameModeling and Simulation in Science, Engineering and Technology
VolumePart F1665
ISSN (Print)2164-3679
ISSN (Electronic)2164-3725

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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