ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling

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

    Research output: Contribution to journalArticle

    69 Citations (Scopus)

    Abstract

    This paper provides a review of the space-time (ST) and Arbitrary Lagrangian-Eulerian (ALE) techniques developed by the first three authors' research teams for patient-specific cardiovascular fluid mechanics modeling, including fluid-structure interaction (FSI). 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 core methods. These include: (i) arterial-surface extraction and boundary condition techniques, (ii) techniques for using variable arterial wall 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 WSS and OSI calculations, 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 these core and special techniques work.

    Original languageEnglish
    Pages (from-to)2437-2486
    Number of pages50
    JournalMathematical Models and Methods in Applied Sciences
    Volume24
    Issue number12
    DOIs
    Publication statusPublished - 2014

    Fingerprint

    Fluid Mechanics
    Fluid mechanics
    Space-time
    Fluid structure interaction
    Arbitrary
    Modeling
    Mesh generation
    Stents
    Fluid
    Mesh Generation
    Shear stress
    Stent
    Interaction Techniques
    Wall Shear Stress
    Residence Time
    Prestressing
    Blood vessels
    Interaction
    Variational multiscale Method
    Flow rate

    Keywords

    • ALE methods
    • Cardiovascular fluid mechanics
    • cerebral aneurysms
    • fluid-structure interaction
    • pulsatile ventricular assist devices
    • special techniques
    • ST methods
    • stents

    ASJC Scopus subject areas

    • Applied Mathematics
    • Modelling and Simulation

    Cite this

    ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling. / Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Long, Christopher C.; Marsden, Alison L.; Schjodt, Kathleen.

    In: Mathematical Models and Methods in Applied Sciences, Vol. 24, No. 12, 2014, p. 2437-2486.

    Research output: Contribution to journalArticle

    Takizawa, Kenji ; Bazilevs, Yuri ; Tezduyar, Tayfun E. ; Long, Christopher C. ; Marsden, Alison L. ; Schjodt, Kathleen. / ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling. In: Mathematical Models and Methods in Applied Sciences. 2014 ; Vol. 24, No. 12. pp. 2437-2486.
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    AU - Marsden, Alison L.

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