Computational analysis methods for complex unsteady flow problems

Yuri Bazilevs*, Kenji Takizawa, Tayfun E. Tezduyar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 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
JournalMathematical Models and Methods in Applied Sciences
Publication statusPublished - 2019 Jan 1


  • ALE method
  • ALE-VMS method
  • DSD/SST method
  • fluid-structure interaction
  • FSI
  • Navier-Stokes-Korteweg equations
  • space-time method
  • ST-VMS method
  • Stabilized methods
  • variational multiscale method
  • VMS

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics


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