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 language | English |
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Title of host publication | Modeling and Simulation in Science, Engineering and Technology |
Editors | Tayfun E. Tezduyar |
Publisher | Birkhauser Verlag Basel |
Pages | 477-512 |
Number of pages | 36 |
ISBN (Electronic) | 978-3-031-36942-1 |
ISBN (Print) | 978-3-031-36944-5, 978-3-031-36941-4 |
DOIs | |
Publication status | Published - 2023 |
Publication series
Name | Modeling and Simulation in Science, Engineering and Technology |
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Volume | Part 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-careOtherwise 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.