Aorta flow analysis and heart valve flow and structure analysis

Kenji Takizawa, Tayfun E. Tezduyar, Hiroaki Uchikawa, Takuya Terahara, Takafumi Sasaki, Kensuke Shiozaki, Ayaka Yoshida, Kenji Komiya, Gaku Inoue

    Research output: Chapter in Book/Report/Conference proceedingChapter

    12 Citations (Scopus)

    Abstract

    We present our computational methods for and results from aorta flow analysis and heart valve flow and structure analysis. In flow analysis, the core method is the space–time Variational Multiscale (ST-VMS) method. The other key methods are the ST Slip Interface (ST-SI) and ST Topology Change (ST-TC) methods and the ST Isogeometric Analysis (ST-IGA). The ST framework, in a general context, provides higher-order accuracy. The VMS feature of the ST-VMS addresses the computational challenges associated with the multiscale nature of the unsteady flows in the aorta and heart valve. The moving-mesh feature of the ST framework enables high-resolution computation near the valve leaflets. The ST-SI connects the sectors of meshes containing the leaflets, enabling a more effective mesh moving. The ST-TC enables moving-mesh computation even with the TC created by the contact between the leaflets. It deals with the contact while maintaining high-resolution representation near the leaflets. Integration of the ST-SI and ST-TC enables high-resolution representation even though parts of the SI are coinciding with the leaflet surfaces. It also enables dealing with leaflet–leaflet contact location change and contact sliding. The ST-IGA provides smoother representation of aorta and valve surfaces and increased accuracy in the flow solution. With the integration of the ST-IGA with the ST-SI and ST-TC, the element density in the narrow spaces near the contact areas is kept at a reasonable level. In structure analysis, we use a Kirchhoff–Love shell model, where we take the stretch in the third direction into account in calculating the curvature term. The computations presented demonstrate the scope and effectiveness of the methods.

    Original languageEnglish
    Title of host publicationModeling and Simulation in Science, Engineering and Technology
    PublisherSpringer Basel
    Pages29-89
    Number of pages61
    DOIs
    Publication statusPublished - 2018 Jan 1

    Publication series

    NameModeling and Simulation in Science, Engineering and Technology
    ISSN (Print)2164-3679
    ISSN (Electronic)2164-3725

    Fingerprint

    Aorta
    Isogeometric Analysis
    Moving Mesh
    Slip
    Topology
    Contact
    High Resolution
    Space-time
    Variational multiscale Method
    Unsteady flow
    Computational methods
    High Order Accuracy
    Shell Model
    Unsteady Flow
    Stretch
    Computational Methods
    Sector
    Curvature
    Heart
    Mesh

    ASJC Scopus subject areas

    • Modelling and Simulation
    • Engineering(all)
    • Fluid Flow and Transfer Processes
    • Computational Mathematics

    Cite this

    Takizawa, K., Tezduyar, T. E., Uchikawa, H., Terahara, T., Sasaki, T., Shiozaki, K., ... Inoue, G. (2018). Aorta flow analysis and heart valve flow and structure analysis. In Modeling and Simulation in Science, Engineering and Technology (pp. 29-89). (Modeling and Simulation in Science, Engineering and Technology). Springer Basel. https://doi.org/10.1007/978-3-319-96469-0_2

    Aorta flow analysis and heart valve flow and structure analysis. / Takizawa, Kenji; Tezduyar, Tayfun E.; Uchikawa, Hiroaki; Terahara, Takuya; Sasaki, Takafumi; Shiozaki, Kensuke; Yoshida, Ayaka; Komiya, Kenji; Inoue, Gaku.

    Modeling and Simulation in Science, Engineering and Technology. Springer Basel, 2018. p. 29-89 (Modeling and Simulation in Science, Engineering and Technology).

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Takizawa, K, Tezduyar, TE, Uchikawa, H, Terahara, T, Sasaki, T, Shiozaki, K, Yoshida, A, Komiya, K & Inoue, G 2018, Aorta flow analysis and heart valve flow and structure analysis. in Modeling and Simulation in Science, Engineering and Technology. Modeling and Simulation in Science, Engineering and Technology, Springer Basel, pp. 29-89. https://doi.org/10.1007/978-3-319-96469-0_2
    Takizawa K, Tezduyar TE, Uchikawa H, Terahara T, Sasaki T, Shiozaki K et al. Aorta flow analysis and heart valve flow and structure analysis. In Modeling and Simulation in Science, Engineering and Technology. Springer Basel. 2018. p. 29-89. (Modeling and Simulation in Science, Engineering and Technology). https://doi.org/10.1007/978-3-319-96469-0_2
    Takizawa, Kenji ; Tezduyar, Tayfun E. ; Uchikawa, Hiroaki ; Terahara, Takuya ; Sasaki, Takafumi ; Shiozaki, Kensuke ; Yoshida, Ayaka ; Komiya, Kenji ; Inoue, Gaku. / Aorta flow analysis and heart valve flow and structure analysis. Modeling and Simulation in Science, Engineering and Technology. Springer Basel, 2018. pp. 29-89 (Modeling and Simulation in Science, Engineering and Technology).
    @inbook{d439afacc5b4451782364f3165aaa78f,
    title = "Aorta flow analysis and heart valve flow and structure analysis",
    abstract = "We present our computational methods for and results from aorta flow analysis and heart valve flow and structure analysis. In flow analysis, the core method is the space–time Variational Multiscale (ST-VMS) method. The other key methods are the ST Slip Interface (ST-SI) and ST Topology Change (ST-TC) methods and the ST Isogeometric Analysis (ST-IGA). The ST framework, in a general context, provides higher-order accuracy. The VMS feature of the ST-VMS addresses the computational challenges associated with the multiscale nature of the unsteady flows in the aorta and heart valve. The moving-mesh feature of the ST framework enables high-resolution computation near the valve leaflets. The ST-SI connects the sectors of meshes containing the leaflets, enabling a more effective mesh moving. The ST-TC enables moving-mesh computation even with the TC created by the contact between the leaflets. It deals with the contact while maintaining high-resolution representation near the leaflets. Integration of the ST-SI and ST-TC enables high-resolution representation even though parts of the SI are coinciding with the leaflet surfaces. It also enables dealing with leaflet–leaflet contact location change and contact sliding. The ST-IGA provides smoother representation of aorta and valve surfaces and increased accuracy in the flow solution. With the integration of the ST-IGA with the ST-SI and ST-TC, the element density in the narrow spaces near the contact areas is kept at a reasonable level. In structure analysis, we use a Kirchhoff–Love shell model, where we take the stretch in the third direction into account in calculating the curvature term. The computations presented demonstrate the scope and effectiveness of the methods.",
    author = "Kenji Takizawa and Tezduyar, {Tayfun E.} and Hiroaki Uchikawa and Takuya Terahara and Takafumi Sasaki and Kensuke Shiozaki and Ayaka Yoshida and Kenji Komiya and Gaku Inoue",
    year = "2018",
    month = "1",
    day = "1",
    doi = "10.1007/978-3-319-96469-0_2",
    language = "English",
    series = "Modeling and Simulation in Science, Engineering and Technology",
    publisher = "Springer Basel",
    pages = "29--89",
    booktitle = "Modeling and Simulation in Science, Engineering and Technology",

    }

    TY - CHAP

    T1 - Aorta flow analysis and heart valve flow and structure analysis

    AU - Takizawa, Kenji

    AU - Tezduyar, Tayfun E.

    AU - Uchikawa, Hiroaki

    AU - Terahara, Takuya

    AU - Sasaki, Takafumi

    AU - Shiozaki, Kensuke

    AU - Yoshida, Ayaka

    AU - Komiya, Kenji

    AU - Inoue, Gaku

    PY - 2018/1/1

    Y1 - 2018/1/1

    N2 - We present our computational methods for and results from aorta flow analysis and heart valve flow and structure analysis. In flow analysis, the core method is the space–time Variational Multiscale (ST-VMS) method. The other key methods are the ST Slip Interface (ST-SI) and ST Topology Change (ST-TC) methods and the ST Isogeometric Analysis (ST-IGA). The ST framework, in a general context, provides higher-order accuracy. The VMS feature of the ST-VMS addresses the computational challenges associated with the multiscale nature of the unsteady flows in the aorta and heart valve. The moving-mesh feature of the ST framework enables high-resolution computation near the valve leaflets. The ST-SI connects the sectors of meshes containing the leaflets, enabling a more effective mesh moving. The ST-TC enables moving-mesh computation even with the TC created by the contact between the leaflets. It deals with the contact while maintaining high-resolution representation near the leaflets. Integration of the ST-SI and ST-TC enables high-resolution representation even though parts of the SI are coinciding with the leaflet surfaces. It also enables dealing with leaflet–leaflet contact location change and contact sliding. The ST-IGA provides smoother representation of aorta and valve surfaces and increased accuracy in the flow solution. With the integration of the ST-IGA with the ST-SI and ST-TC, the element density in the narrow spaces near the contact areas is kept at a reasonable level. In structure analysis, we use a Kirchhoff–Love shell model, where we take the stretch in the third direction into account in calculating the curvature term. The computations presented demonstrate the scope and effectiveness of the methods.

    AB - We present our computational methods for and results from aorta flow analysis and heart valve flow and structure analysis. In flow analysis, the core method is the space–time Variational Multiscale (ST-VMS) method. The other key methods are the ST Slip Interface (ST-SI) and ST Topology Change (ST-TC) methods and the ST Isogeometric Analysis (ST-IGA). The ST framework, in a general context, provides higher-order accuracy. The VMS feature of the ST-VMS addresses the computational challenges associated with the multiscale nature of the unsteady flows in the aorta and heart valve. The moving-mesh feature of the ST framework enables high-resolution computation near the valve leaflets. The ST-SI connects the sectors of meshes containing the leaflets, enabling a more effective mesh moving. The ST-TC enables moving-mesh computation even with the TC created by the contact between the leaflets. It deals with the contact while maintaining high-resolution representation near the leaflets. Integration of the ST-SI and ST-TC enables high-resolution representation even though parts of the SI are coinciding with the leaflet surfaces. It also enables dealing with leaflet–leaflet contact location change and contact sliding. The ST-IGA provides smoother representation of aorta and valve surfaces and increased accuracy in the flow solution. With the integration of the ST-IGA with the ST-SI and ST-TC, the element density in the narrow spaces near the contact areas is kept at a reasonable level. In structure analysis, we use a Kirchhoff–Love shell model, where we take the stretch in the third direction into account in calculating the curvature term. The computations presented demonstrate the scope and effectiveness of the methods.

    UR - http://www.scopus.com/inward/record.url?scp=85055769904&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85055769904&partnerID=8YFLogxK

    U2 - 10.1007/978-3-319-96469-0_2

    DO - 10.1007/978-3-319-96469-0_2

    M3 - Chapter

    T3 - Modeling and Simulation in Science, Engineering and Technology

    SP - 29

    EP - 89

    BT - Modeling and Simulation in Science, Engineering and Technology

    PB - Springer Basel

    ER -