  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.
