Space-time VMS method for flow computations with slip interfaces (ST-SI)

Kenji Takizawa, Tayfun E. Tezduyar, Hiroki Mochizuki, Hitoshi Hattori, Sen Mei, Linqi Pan, Kenneth Montel

    Research output: Contribution to journalArticle

    70 Citations (Scopus)


    We present the space-time variational multiscale (ST-VMS) method for flow computations with slip interfaces (ST-SI). The method is intended for fluid-structure interaction (FSI) analysis where one or more of the subdomains contain spinning structures, such as the rotor of a wind turbine, and the subdomains are covered by meshes that do not match at the interface and have slip between them. The mesh covering a subdomain with the spinning structure spins with it, thus maintaining the high-resolution representation of the boundary layers near the structure. The starting point in the development of the method is the version of the arbitrary Lagrangian-Eulerian VMS (ALE-VMS) method designed for computations with "sliding interfaces". Interface terms similar to those in the ALE-VMS version are added to the ST-VMS formulation to account for the compatibility conditions for the velocity and stress. In addition to having a high-resolution representation of the boundary layers, because the ST framework allows NURBS functions in temporal representation of the structure motion, we have exact representation of the circular paths associated with the spinning. The ST-SI method includes versions for cases where the SI is between fluid and solid domains with weakly-imposed Dirichlet conditions for the fluid and for cases where the SI is between a thin porous structure and the fluid on its two sides. Test computations with 2D and 3D models of a vertical-axis wind turbine show the effectiveness of the ST-SI method.

    Original languageEnglish
    Pages (from-to)2377-2406
    Number of pages30
    JournalMathematical Models and Methods in Applied Sciences
    Issue number12
    Publication statusPublished - 2015 Nov 26


    • nonmatching meshes
    • slip interfaces
    • Space-time VMS method
    • spinning structures
    • vertical-axis wind turbine
    • weakly-imposed Dirichlet conditions
    • zero-thickness structures with porosity

    ASJC Scopus subject areas

    • Applied Mathematics
    • Modelling and Simulation

    Fingerprint Dive into the research topics of 'Space-time VMS method for flow computations with slip interfaces (ST-SI)'. Together they form a unique fingerprint.

  • Cite this