Isogeometric fluid-structure interaction: Theory, algorithms, and computations

Y. Bazilevs*, Victor Calo, T. J.R. Hughes, Y. Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

767 Scopus citations


We present a fully-coupled monolithic formulation of the fluid-structure interaction of an incompressible fluid on a moving domain with a nonlinear hyperelastic solid. The arbitrary Lagrangian-Eulerian description is utilized for the fluid subdomain and the Lagrangian description is utilized for the solid subdomain. Particular attention is paid to the derivation of various forms of the conservation equations; the conservation properties of the semi-discrete and fully discretized systems; a unified presentation of the generalized-α time integration method for fluid-structure interaction; and the derivation of the tangent matrix, including the calculation of shape derivatives. A NURBS-based isogeometric analysis methodology is used for the spatial discretization and three numerical examples are presented which demonstrate the good behavior of the methodology.

Original languageEnglish (US)
Pages (from-to)3-37
Number of pages35
JournalComputational Mechanics
Issue number1
StatePublished - Jan 1 2008


  • Blood flow
  • Cardiovascular modeling
  • Fluid-structure interaction
  • Hyperelastic solids
  • Incompressible fluids
  • Isogeometric analysis
  • Mesh movement
  • Moving domains
  • Shape derivatives
  • Space-time Piola transformation

ASJC Scopus subject areas

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


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