Computational analysis methods for complex unsteady flow problems

Research output: Contribution to journalArticle

Abstract

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
DOIs
Publication statusPublished - 2019 Jan 1

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Fluid structure interaction
Computational Analysis
Unsteady Flow
Unsteady flow
Fluid Dynamics
Fluid dynamics
Variational multiscale Method
Stabilized Methods
Wall flow
Fluid
Complex Fluids
Multiscale Methods
Dynamic Problem
Engineering Application
Interaction
Turbulent Flow
Variational Methods
Turbulent flow
Reynolds number
Fluid Flow

Keywords

  • 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

Cite this

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title = "Computational analysis methods for complex unsteady flow problems",
abstract = "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.",
keywords = "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",
author = "Yuri Bazilevs and Kenji Takizawa and Tezduyar, {Tayfun E.}",
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AU - Bazilevs, Yuri

AU - Takizawa, Kenji

AU - Tezduyar, Tayfun E.

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N2 - 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.

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