Patient-specific cardiovascular fluid mechanics analysis with the ST and ALE-VMS methods

Kenji Takizawa*, Yuri Bazilevs, Tayfun E. Tezduyar, Christopher C. Long, Alison L. Marsden, Kathleen Schjodt

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)


This chapter provides an overview of how patient-specific cardiovascular fluid mechanics analysis, including fluid-structure interaction (FSI), can be carried out with the space-time (ST) and Arbitrary Lagrangian-Eulerian (ALE) techniques developed by the first three authors' research teams. The core methods are the ALE-based variational multiscale (ALE-VMS) method, the Deforming-Spatial-Domain/Stabilized ST formulation, and the stabilized ST FSI technique. A good number of special techniques targeting cardiovascular fluid mechanics have been developed to be used with the coremethods. These include (i) arterial-surface extraction and boundary condition techniques, (ii) techniques for using variable arterialwall thickness, (iii) methods for calculating an estimated zero-pressure arterial geometry, (iv) techniques for prestressing of the blood vessel wall, (v) mesh generation techniques for building layers of refined fluid mechanics mesh near the arterial walls, (vi) a special mapping technique for specifying the velocity profile at an inflow boundary with non-circular shape, (vii) a scaling technique for specifying a more realistic volumetric flow rate, (viii) techniques for the projection of fluid-structure interface stresses, (ix) a recipe for pre-FSI computations that improve the convergence of the FSI computations, (x) the Sequentially-Coupled Arterial FSI technique and its multiscale versions, (xi) techniques for calculation of the wall shear stress (WSS) and oscillatory shear index (OSI), (xii) methods for stent modeling and mesh generation, (xiii) methods for calculation of the particle residence time, and (xiv) methods for an estimated element-based zero-stress state for the artery. Here we provide an overview of the special techniques for stent modeling and mesh generation and calculation of the residence time with application to pulsatile ventricular assist device (PVAD). We provide references for some of the other special techniques. With results from earlier computations, we show how the core and special techniques work.

Original languageEnglish
Title of host publicationNumerical Simulations of Coupled Problems in Engineering
EditorsSergio R. Idelsohn
PublisherSpringer Netherland
Number of pages32
ISBN (Print)9783319061351
Publication statusPublished - 2014
Event5th International Conference on Computational Methods for Coupled Problems in Science and Engineering, 2013 - Ibiza, Spain
Duration: 2013 Jun 172013 Jun 19

Publication series

NameComputational Methods in Applied Sciences
ISSN (Print)1871-3033


Other5th International Conference on Computational Methods for Coupled Problems in Science and Engineering, 2013

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Biomedical Engineering
  • Computer Science Applications
  • Fluid Flow and Transfer Processes
  • Computational Mathematics
  • Electrical and Electronic Engineering


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