TY - JOUR
T1 - Heart valve isogeometric sequentially-coupled FSI analysis with the space–time topology change method
AU - Terahara, Takuya
AU - Takizawa, Kenji
AU - Tezduyar, Tayfun E.
AU - Bazilevs, Yuri
AU - Hsu, Ming Chen
N1 - Funding Information:
This work was supported (first and second authors) in part by JST-CREST; Grant-in-Aid for Scientific Research (A) 18H04100 from Japan Society for the Promotion of Science; and Rice?Waseda research agreement. This work was also supported (first author) in part by Grant-in-Aid for JSPS Research Fellow 17J11096. The mathematical model and computational method parts of the work were also supported (third author) in part by ARO Grant W911NF-17-1-0046, ARO DURIP Grant W911NF-18-1-0234, and Top Global University Project of Waseda University. The fourth author was partially supported by NSF Grant 1854436, and the fifth author was partially supported by NIH/NHLBI Grants R01HL129077 and R01HL142504. The authors acknowledge the Texas Advanced Computing Center (TACC) at The University of Texas at Austin for providing HPC resources that have contributed to the research results reported within this paper.
Publisher Copyright:
© 2020, The Author(s).
PY - 2020/4/1
Y1 - 2020/4/1
N2 - 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.
AB - 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.
KW - Bioprosthetic heart valve FSI analysis
KW - Contact
KW - Immersogeometric analysis
KW - Isogeometric discretization
KW - Sequentially-coupled FSI
KW - Space–time VMS method
KW - Space–time topology change method
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U2 - 10.1007/s00466-019-01813-0
DO - 10.1007/s00466-019-01813-0
M3 - Article
AN - SCOPUS:85077714973
VL - 65
SP - 1167
EP - 1187
JO - Computational Mechanics
JF - Computational Mechanics
SN - 0178-7675
IS - 4
ER -