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

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    68 Citations (Scopus)


    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
    Issue number2
    Publication statusPublished - 2014



    • 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

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