Arterial fluid mechanics modeling with the stabilized space-time fluid-structure interaction technique

Tayfun E. Tezduyar, Sunil Sathe, Matthew Schwaab, Brian S. Conklin

Research output: Contribution to journalReview article

126 Citations (Scopus)

Abstract

We present an overview of how the arterial fluid mechanics problems can be modeled with the stabilized space-time fluid-structure interaction (SSTFSI) technique developed by the Team for Advanced Flow Simulation and Modeling (TAFSM). The SSTFSI technique includes the enhancements introduced recently by the TAFSM to increase the scope, accuracy, robustness and efficiency of this class of techniques. The SSTFSI technique is supplemented with a number of special techniques developed for arterial fluid mechanics modeling. These include a recipe for pre-FSI computations that improve the convergence of the FSI computations, using an estimated zero-pressure arterial geometry, and the sequentially coupled arterial FSI (SCAFSI) technique. The recipe for pre-FSI computations is based on the assumption that the arterial deformation during a cardiac cycle is driven mostly by the blood pressure. The SCAFSI technique, which was introduced as an approximate FSI approach in arterial fluid mechanics, is also based on that assumption. The need for an estimated zero-pressure arterial geometry is based on recognizing that the patient-specific image-based geometries correspond to time-averaged blood pressure values. In our arterial fluid mechanics modeling the arterial walls can be represented with the membrane or continuum elements, both of which are geometrically nonlinear, and the continuum element is made of hyperelastic (Fung) material. Test computations are presented for cerebral and abdominal aortic aneurysms, where the arterial geometries used in the computations are close approximations to the patient-specific image-based data.

Original languageEnglish
Pages (from-to)601-629
Number of pages29
JournalInternational Journal for Numerical Methods in Fluids
Volume57
Issue number5
DOIs
Publication statusPublished - 2008 Jun 20

Keywords

  • Cardiovascular fluid mechanics
  • Cerebral aneurysms
  • Fluid-structure interactions
  • Hyper elastic material
  • Space-time methods

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

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