Computational Mechanics

, Volume 43, Issue 1, pp 3–37

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

  • Y. Bazilevs
  • V. M. Calo
  • T. J. R. Hughes
  • Y. Zhang
Original Paper

DOI: 10.1007/s00466-008-0315-x

Cite this article as:
Bazilevs, Y., Calo, V.M., Hughes, T.J.R. et al. Comput Mech (2008) 43: 3. doi:10.1007/s00466-008-0315-x

Abstract

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.

Keywords

Blood flowCardiovascular modelingFluid-structure interactionHyperelastic solidsIncompressible fluidsIsogeometric analysisMesh movementMoving domainsNURBSShape derivativesSpace-time Piola transformation

Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  • Y. Bazilevs
    • 1
  • V. M. Calo
    • 2
  • T. J. R. Hughes
    • 2
  • Y. Zhang
    • 3
  1. 1.Department of Structural EngineeringUniversity of CaliforniaLa JollaUSA
  2. 2.Institute for Computational Engineering and SciencesThe University of Texas at AustinAustinUSA
  3. 3.Mechanical EngineeringCarnegie Mellon UniversityPittsburghUSA