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

被引:89
作者
Takizawa, Kenji [1 ,2 ]
Bazilevs, Yuri [3 ]
Tezduyar, Tayfun E. [4 ]
Long, Christopher C. [5 ]
Marsden, Alison L. [3 ]
Schjodt, Kathleen [4 ]
机构
[1] Waseda Univ, Dept Modern Mech Engn, Shinjuku Ku, Tokyo 1698050, Japan
[2] Waseda Univ, Waseda Inst Adv Study, Shinjuku Ku, Tokyo 1698050, Japan
[3] Univ Calif San Diego, La Jolla, CA 92093 USA
[4] Rice Univ, Houston, TX 77005 USA
[5] Los Alamos Natl Lab, Los Alamos, NM 87545 USA
关键词
Cardiovascular fluid mechanics; fluid-structure interaction; cerebral aneurysms; pulsatile ventricular assist devices; stents; ALE methods; ST methods; special techniques; FINITE-ELEMENT COMPUTATION; SPACE-TIME PROCEDURE; MOVING BOUNDARIES; BLOOD-FLOW; STABILIZATION PARAMETERS; ISOGEOMETRIC ANALYSIS; CEREBRAL ANEURYSM; SUPG FORMULATION; MESH UPDATE; SIMULATION;
D O I
10.1142/S0218202514500250
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:2437 / 2486
页数:50
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