Modelling of fluid-structure interactions with the space-time finite elements: Arterial fluid mechanics

Tayfun E. Tezduyar, Sunil Sathe, Timothy Cragin, Bryan Nanna, Brian S. Conklin, Jason Pausewang, Matthew Schwaab

Research output: Contribution to journalArticle

127 Citations (Scopus)

Abstract

The stabilized space-time fluid-structure interaction (SSTFSI) techniques developed by the Team for Advanced Flow Simulation and Modeling (T*AFSM) are applied to FSI modelling in arterial fluid mechanics. Modelling of flow in arteries with aneurysm is emphasized. The SSTFSI techniques used are based on the deforming-spatial-domain/ stabilized space-time (DSD/SST) formulation and include the enhancements introduced recently by the T*AFSM to increase the scope, accuracy, robustness and efficiency of these techniques. The arterial structures can be modelled with the membrane or continuum elements, both of which are geometrically nonlinear, and the continuum element can be made of linearly elastic or hyperelastic material. Test computations are presented for cerebral and abdominal aortic aneurysms and carotid-artery bifurcation, where the arterial geometries used in the computations are close approximations to the patient-specific image-based data.

Original languageEnglish
Pages (from-to)901-922
Number of pages22
JournalInternational Journal for Numerical Methods in Fluids
Volume54
Issue number6-8
DOIs
Publication statusPublished - 2007 Jul 20
Externally publishedYes

Fingerprint

Space-time Finite Elements
Fluid structure interaction
Fluid Mechanics
Fluid mechanics
Flow simulation
Fluid
Interaction Techniques
Aneurysm
Bifurcation (mathematics)
Space-time
Flow Simulation
Arteries
Interaction
Modeling
Continuum
Membranes
Hyperelastic Material
Geometry
Elastic Material
Membrane

Keywords

  • Cardiovascular fluid mechanics
  • Cerebral aneurysms
  • Finite elements
  • Fluid-structure interactions
  • Space-time methods

ASJC Scopus subject areas

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

Cite this

Modelling of fluid-structure interactions with the space-time finite elements : Arterial fluid mechanics. / Tezduyar, Tayfun E.; Sathe, Sunil; Cragin, Timothy; Nanna, Bryan; Conklin, Brian S.; Pausewang, Jason; Schwaab, Matthew.

In: International Journal for Numerical Methods in Fluids, Vol. 54, No. 6-8, 20.07.2007, p. 901-922.

Research output: Contribution to journalArticle

Tezduyar, Tayfun E. ; Sathe, Sunil ; Cragin, Timothy ; Nanna, Bryan ; Conklin, Brian S. ; Pausewang, Jason ; Schwaab, Matthew. / Modelling of fluid-structure interactions with the space-time finite elements : Arterial fluid mechanics. In: International Journal for Numerical Methods in Fluids. 2007 ; Vol. 54, No. 6-8. pp. 901-922.
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