Wall shear stress calculations in space-time finite element computation of arterial fluid-structure interactions

Kenji Takizawa, Creighton Moorman, Samuel Wright, Jason Christopher, Tayfun E. Tezduyar

Research output: Contribution to journalArticlepeer-review

93 Citations (Scopus)


The stabilized space-time fluid-structure interaction (SSTFSI) technique was applied to arterial FSI problems soon after its development by the Team for Advanced Flow Simulation and Modeling. The SSTFSI technique is based on the Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation and is supplemented with a number of special techniques developed for arterial FSI. The special techniques developed in the recent past include a recipe for pre-FSI computations that improve the convergence of the FSI computations, using an estimated zero-pressure arterial geometry, Sequentially Coupled Arterial FSI technique, using layers of refined fluid mechanics mesh near the arterial walls, and a special mapping technique for specifying the velocity profile at inflow boundaries with non-circular shape. In this paper we introduce some additional special techniques, related to the projection of fluid-structure interface stresses, calculation of the wall shear stress (WSS), and calculation of the oscillatory shear index. In the test computations reported here, we focus on WSS calculations in FSI modeling of a patient-specific middle cerebral artery segment with aneurysm. Two different structural mechanics meshes and three different fluid mechanics meshes are tested to investigate the influence of mesh refinement on the WSS calculations.

Original languageEnglish
Pages (from-to)31-41
Number of pages11
JournalComputational Mechanics
Issue number1
Publication statusPublished - 2010 Jun
Externally publishedYes


  • Cardiovascular fluid mechanics
  • Cerebral aneurysms
  • Fluid-structure interactions
  • Hyperelastic material
  • Oscillatory shear index
  • Patient-specific data
  • Space-time methods
  • Wall shear stress

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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