Scan-Based Immersed Isogeometric Flow Analysis

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

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

2 Citations (Scopus)

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 publicationFrontiers in Computational Fluid-Structure Interaction and Flow Simulation
Subtitle of host publicationResearch from Lead Investigators Under Forty - 2023
EditorsTayfun E. Tezduyar
Place of PublicationCham
PublisherBirkhäuser Verlag
Pages477-512
Number of pages36
ISBN (Electronic)978-3-031-36942-1
ISBN (Print)978-3-031-36941-4
DOIs
Publication statusPublished - 2 Nov 2023

Publication series

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

Bibliographical note

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Funding

Acknowledgments Our implementation is based on the open source finite element library Nutils [65]. CVV and SCD acknowledge the partial support of the European Union’s Horizon 2020 research and innovation programme under Grant Agreement No 101017578 (SIMCor).

FundersFunder number
European Union's Horizon 2020 - Research and Innovation Framework Programme101017578

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