Space-time VMS methods for modeling of incompressible flows at high reynolds numbers

Kenji Takizawa, Darren Montes, Spenser McIntyre, Tayfun E. Tezduyar

    Research output: Contribution to journalArticle

    51 Citations (Scopus)

    Abstract

    Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation was developed for flow problems with moving interfaces and has been successfully applied to some of the most complex problems in that category. A new version of the DSD/SST method for incompressible flows, which has additional subgrid-scale representation features, is the space-time version of the residual-based variational multiscale (VMS) method. This new version, called DSD/SST-VMST and also Space-Time VMS (ST-VMS), provides a more comprehensive framework for the VMS method. We describe the ST-VMS method, including the embedded stabilization parameters, and assess its performance in computation of flow problems at high Reynolds numbers by comparing the results to experimental data. The computations, which include those with 3D airfoil geometries and spacecraft configurations, signal a promising future for the ST-VMS method.

    Original languageEnglish
    Pages (from-to)223-248
    Number of pages26
    JournalMathematical Models and Methods in Applied Sciences
    Volume23
    Issue number2
    DOIs
    Publication statusPublished - 2013 Feb

    Fingerprint

    Variational multiscale Method
    Incompressible flow
    Incompressible Flow
    Reynolds number
    Space-time
    Airfoils
    Modeling
    Spacecraft
    Stabilization
    Geometry
    Moving Interface
    Airfoil
    Experimental Data
    Configuration
    Formulation

    Keywords

    • Airfoil geometries
    • DSD/SST formulation
    • DSD/SST-VMST method
    • High Reynolds numbers
    • Incompressible flows
    • Space-time VMS method
    • Spacecraft configurations

    ASJC Scopus subject areas

    • Applied Mathematics
    • Modelling and Simulation

    Cite this

    Space-time VMS methods for modeling of incompressible flows at high reynolds numbers. / Takizawa, Kenji; Montes, Darren; McIntyre, Spenser; Tezduyar, Tayfun E.

    In: Mathematical Models and Methods in Applied Sciences, Vol. 23, No. 2, 02.2013, p. 223-248.

    Research output: Contribution to journalArticle

    @article{289e015d80f240f8b233a3d4a2f06d30,
    title = "Space-time VMS methods for modeling of incompressible flows at high reynolds numbers",
    abstract = "Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation was developed for flow problems with moving interfaces and has been successfully applied to some of the most complex problems in that category. A new version of the DSD/SST method for incompressible flows, which has additional subgrid-scale representation features, is the space-time version of the residual-based variational multiscale (VMS) method. This new version, called DSD/SST-VMST and also Space-Time VMS (ST-VMS), provides a more comprehensive framework for the VMS method. We describe the ST-VMS method, including the embedded stabilization parameters, and assess its performance in computation of flow problems at high Reynolds numbers by comparing the results to experimental data. The computations, which include those with 3D airfoil geometries and spacecraft configurations, signal a promising future for the ST-VMS method.",
    keywords = "Airfoil geometries, DSD/SST formulation, DSD/SST-VMST method, High Reynolds numbers, Incompressible flows, Space-time VMS method, Spacecraft configurations",
    author = "Kenji Takizawa and Darren Montes and Spenser McIntyre and Tezduyar, {Tayfun E.}",
    year = "2013",
    month = "2",
    doi = "10.1142/S0218202513400022",
    language = "English",
    volume = "23",
    pages = "223--248",
    journal = "Mathematical Models and Methods in Applied Sciences",
    issn = "0218-2025",
    publisher = "World Scientific Publishing Co. Pte Ltd",
    number = "2",

    }

    TY - JOUR

    T1 - Space-time VMS methods for modeling of incompressible flows at high reynolds numbers

    AU - Takizawa, Kenji

    AU - Montes, Darren

    AU - McIntyre, Spenser

    AU - Tezduyar, Tayfun E.

    PY - 2013/2

    Y1 - 2013/2

    N2 - Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation was developed for flow problems with moving interfaces and has been successfully applied to some of the most complex problems in that category. A new version of the DSD/SST method for incompressible flows, which has additional subgrid-scale representation features, is the space-time version of the residual-based variational multiscale (VMS) method. This new version, called DSD/SST-VMST and also Space-Time VMS (ST-VMS), provides a more comprehensive framework for the VMS method. We describe the ST-VMS method, including the embedded stabilization parameters, and assess its performance in computation of flow problems at high Reynolds numbers by comparing the results to experimental data. The computations, which include those with 3D airfoil geometries and spacecraft configurations, signal a promising future for the ST-VMS method.

    AB - Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation was developed for flow problems with moving interfaces and has been successfully applied to some of the most complex problems in that category. A new version of the DSD/SST method for incompressible flows, which has additional subgrid-scale representation features, is the space-time version of the residual-based variational multiscale (VMS) method. This new version, called DSD/SST-VMST and also Space-Time VMS (ST-VMS), provides a more comprehensive framework for the VMS method. We describe the ST-VMS method, including the embedded stabilization parameters, and assess its performance in computation of flow problems at high Reynolds numbers by comparing the results to experimental data. The computations, which include those with 3D airfoil geometries and spacecraft configurations, signal a promising future for the ST-VMS method.

    KW - Airfoil geometries

    KW - DSD/SST formulation

    KW - DSD/SST-VMST method

    KW - High Reynolds numbers

    KW - Incompressible flows

    KW - Space-time VMS method

    KW - Spacecraft configurations

    UR - http://www.scopus.com/inward/record.url?scp=84872416738&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84872416738&partnerID=8YFLogxK

    U2 - 10.1142/S0218202513400022

    DO - 10.1142/S0218202513400022

    M3 - Article

    AN - SCOPUS:84872416738

    VL - 23

    SP - 223

    EP - 248

    JO - Mathematical Models and Methods in Applied Sciences

    JF - Mathematical Models and Methods in Applied Sciences

    SN - 0218-2025

    IS - 2

    ER -