New directions in space-time computational methods

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    Abstract

    This is an overview of some of the new directions we have taken the space-time (ST) computational methods since 2010 in bringing solution and analysis to different classes of challenging engineering problems. The new directions include the variational multiscale (VMS) 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 mechanics meshes,ST techniques with continuous representation in time,ST interface-tracking with topology change,and the ST-VMS method for flow computations with slip interfaces. We describe these new directions and present a few examples.

    Original languageEnglish
    Pages (from-to)159-178
    Number of pages20
    JournalModeling and Simulation in Science, Engineering and Technology
    DOIs
    Publication statusPublished - 2016

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    ASJC Scopus subject areas

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

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