Campus Units

Mechanical Engineering

Document Type


Publication Version

Published Version

Publication Date


Journal or Book Title

Computational Mechanics




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.


This is the final, authenticated version of the article: Terahara, Takuya, Kenji Takizawa, Tayfun E. Tezduyar, Yuri Bazilevs, and Ming-Chen Hsu. "Heart valve isogeometric sequentially-coupled FSI analysis with the space–time topology change method." Computational Mechanics (2020). DOI: 10.1007/s00466-019-01813-0. Posted with permission.

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright Owner

The Author(s)



File Format