Blood Flow Analysis Using Medical Imaging Data and Streamline Visualization

Part of the Mathematics for Industry book series (MFI, volume 4)


A numerical simulation of blood flow in the thoracic aorta is presented. Patient-specific aorta shapes are used in a centerline-fitted curvilinear coordinate system in which the Navier–Stokes equation is discretized using finite-difference approximation with immersed boundary method. Numerical results are visualized by drawing instantaneous streamlines to exhibit the flow structures. Dean vortices and the transition from them to a swirling flow are observed by comparing the original shapes and projected shapes that have no torsion.


Blood flow Aortic aneurysm Numerical simulation Scientific visualization Swirling flow 



This work was supported by the JST-CREST Mathematics program.


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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Graduate School of Environmental and Life SciencesOkayama University/JST CRESTOkayamaJapan
  2. 2.Department of RadiologySt. Luke’s International Hospital/JST CRESTTokyoJapan

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