Computational engineering analysis with the new-generation space-time methods

    Research output: Contribution to journalArticle

    65 Citations (Scopus)

    Abstract

    This is an overview of the new directions we have taken the space-time (ST) methods in bringing solution and analysis to different classes of computationally challenging engineering problems. The classes of problems we have focused on include bio-inspired flapping-wing aerodynamics, wind-turbine aerodynamics, and cardiovascular fluid mechanics. The new directions for the ST methods include the variational multiscale version of the Deforming-Spatial- Domain/Stabilized ST method, using NURBS basis functions in temporal representation of the unknown variables and motion of the solid surfaces and fluid meshes, ST techniques with continuous representation in time, and ST interface-tracking with topology change. We describe the new directions and present examples of the challenging problems solved.

    Original languageEnglish
    Pages (from-to)193-211
    Number of pages19
    JournalComputational Mechanics
    Volume54
    Issue number2
    DOIs
    Publication statusPublished - 2014

    Fingerprint

    Aerodynamics
    Space-time
    Engineering
    Fluid mechanics
    Wind turbines
    Topology
    Fluids
    Interface Tracking
    NURBS
    Fluid Mechanics
    Wind Turbine
    Basis Functions
    Mesh
    Fluid
    Unknown
    Motion
    Class

    Keywords

    • Bio-inspired flapping-wing aerodynamics
    • Cardiovascular fluid mechanics
    • DSD/SST method
    • MAV
    • NURBS in time
    • Space-time methods
    • ST with continuous temporal representation
    • ST with topology change
    • ST-C
    • ST-SUPS method
    • ST-TC
    • ST-VMS method
    • STNMUM
    • Wind-turbine aerodynamics

    ASJC Scopus subject areas

    • Computational Theory and Mathematics
    • Mechanical Engineering
    • Ocean Engineering
    • Applied Mathematics
    • Computational Mathematics

    Cite this

    Computational engineering analysis with the new-generation space-time methods. / Takizawa, Kenji.

    In: Computational Mechanics, Vol. 54, No. 2, 2014, p. 193-211.

    Research output: Contribution to journalArticle

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