New directions and challenging computations in fluid dynamics modeling with stabilized and multiscale methods

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    Abstract

    In this paper, we provide a brief overview of the development of stabilized and multiscale methods in fluid dynamics. We mainly focus on recent developments and new directions in the variational multiscale (VMS) methods. We also discuss applications of the VMS techniques to fluid dynamics problems involving computational challenges associated with high-Reynolds-number flows, wall-bounded turbulent flows, flows with moving domains including subdomains in relative motion, and free-surface flows.

    Original languageEnglish
    Pages (from-to)2217-2226
    Number of pages10
    JournalMathematical Models and Methods in Applied Sciences
    Volume25
    Issue number12
    DOIs
    Publication statusPublished - 2015 Nov 26

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    Keywords

    • ALE method
    • ALE-VMS formulation
    • DSD/SST formulation
    • fluid-structure interaction
    • FSI
    • space-time method
    • ST-VMS formulation
    • Stabilized formulation
    • variational multiscale formulation
    • VMS

    ASJC Scopus subject areas

    • Applied Mathematics
    • Modelling and Simulation

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