Original Paper

Computational Mechanics

, Volume 38, Issue 4, pp 310-322

First online:

Isogeometric Fluid–structure Interaction Analysis with Applications to Arterial Blood Flow

  • Y. BazilevsAffiliated withInstitute for Computational Engineering and Sciences, The University of Texas at Austin
  • , V. M. CaloAffiliated withInstitute for Computational Engineering and Sciences, The University of Texas at Austin
  • , Y. ZhangAffiliated withInstitute for Computational Engineering and Sciences, The University of Texas at Austin
  • , T. J. R. HughesAffiliated withInstitute for Computational Engineering and Sciences, The University of Texas at Austin Email author 

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Abstract

A NURBS (non-uniform rational B-splines)-based isogeometric fluid–structure interaction formulation, coupling incompressible fluids with non-linear elastic solids, and allowing for large structural displacements, is developed. This methodology, encompassing a very general class of applications, is applied to problems of arterial blood flow modeling and simulation. In addition, a set of procedures enabling the construction of analysis-suitable NURBS geometries directly from patient-specific imaging data is outlined. The approach is compared with representative benchmark problems, yielding very good results. Computation of a patient-specific abdominal aorta is also performed, giving qualitative agreement with computations by other researchers using similar models.

Keywords

Isogeometric analysis NURBS Fluid–structure interaction Vascular modeling Navier–Stokes equations Elastic arterial wall Mesh movement Blood flow