Computational analysis methods for complex unsteady flow problems

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


In this lead paper of the special issue, we provide a brief summary of the stabilized and multiscale methods in fluid dynamics. We highlight the key features of the stabilized and multiscale scale methods, and variational methods in general, that make these approaches well suited for computational analysis of complex, unsteady flows encountered in modern science and engineering applications. We mainly focus on the recent developments. We discuss application of the variational multiscale (VMS) methods to fluid dynamics problems involving computational challenges associated with high-Reynolds-number flows, wall-bounded turbulent flows, flows on moving domains including subdomains in relative motion, fluid-structure interaction (FSI), and complex-fluid flows with FSI.

Original languageEnglish
Pages (from-to)825-838
Number of pages14
JournalMathematical Models and Methods in Applied Sciences
Issue number5
Publication statusPublished - 2019


  • ALE method
  • ALE-VMS method
  • DSD/SST method
  • FSI
  • Fluid-structure interaction
  • Navier-Stokes-Korteweg equations
  • ST-VMS method
  • Space-time method
  • Stabilized methods
  • VMS
  • Variational multiscale method

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics


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