Heart valve isogeometric sequentially-coupled FSI analysis with the space–time topology change method

Takuya Terahara, Kenji Takizawa*, Tayfun E. Tezduyar, Yuri Bazilevs, Ming Chen Hsu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

62 Citations (Scopus)


Heart valve fluid–structure interaction (FSI) analysis is one of the computationally challenging cases in cardiovascular fluid mechanics. The challenges include unsteady flow through a complex geometry, solid surfaces with large motion, and contact between the valve leaflets. We introduce here an isogeometric sequentially-coupled FSI (SCFSI) method that can address the challenges with an outcome of high-fidelity flow solutions. The SCFSI analysis enables dealing with the fluid and structure parts individually at different steps of the solutions sequence, and also enables using different methods or different mesh resolution levels at different steps. In the isogeometric SCFSI analysis here, the first step is a previously computed (fully) coupled Immersogeometric Analysis FSI of the heart valve with a reasonable flow solution. With the valve leaflet and arterial surface motion coming from that, we perform a new, higher-fidelity fluid mechanics computation with the space–time topology change method and isogeometric discretization. Both the immersogeometric and space–time methods are variational multiscale methods. The computation presented for a bioprosthetic heart valve demonstrates the power of the method introduced.

Original languageEnglish
Pages (from-to)1167-1187
Number of pages21
JournalComputational Mechanics
Issue number4
Publication statusPublished - 2020 Apr 1


  • Bioprosthetic heart valve FSI analysis
  • Contact
  • Immersogeometric analysis
  • Isogeometric discretization
  • Sequentially-coupled FSI
  • Space–time VMS method
  • Space–time topology change method

ASJC Scopus subject areas

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


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