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Numerical Simulations of Coupled Problems in Engineering pp 71–102Cite as

Patient-Specific Cardiovascular Fluid Mechanics Analysis with the ST and ALE-VMS Methods

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Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 33))

Abstract

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 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 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.

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Authors and Affiliations

  1. Department of Modern Mechanical Engineering and Waseda Institute for Advanced Study, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-ku, Tokyo, 169-8050, Japan

    Kenji Takizawa

  2. Structural Engineering, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093, USA

    Yuri Bazilevs

  3. Mechanical Engineering, Rice University, 6100 Main Street, Houston, TX, 77005, USA

    Tayfun E. Tezduyar & Kathleen Schjodt

  4. T-3 Fluid Dynamics and Structural Mechanics, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    Christopher C. Long

  5. Mechanical and Aerospace Engineering, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093, USA

    Alison L. Marsden

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  1. Kenji Takizawa
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  3. Tayfun E. Tezduyar
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Correspondence to Kenji Takizawa .

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    Sergio R. Idelsohn

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Takizawa, K., Bazilevs, Y., Tezduyar, T.E., Long, C.C., Marsden, A.L., Schjodt, K. (2014). Patient-Specific Cardiovascular Fluid Mechanics Analysis with the ST and ALE-VMS Methods. In: Idelsohn, S. (eds) Numerical Simulations of Coupled Problems in Engineering. Computational Methods in Applied Sciences, vol 33. Springer, Cham. https://doi.org/10.1007/978-3-319-06136-8_4

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