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

Keywords

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

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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