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

Yuri Bazilevs; Kenji Takizawa; Tayfun E. Tezduyar

doi:10.1142/S0218202515020029

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

Yuri Bazilevs, Kenji Takizawa, Tayfun E. Tezduyar^*

^*Corresponding author for this work

School of Creative Science and Engineering

Research output: Contribution to journal › Review article › peer-review

64 Citations (Scopus)

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 language	English
Pages (from-to)	2217-2226
Number of pages	10
Journal	Mathematical Models and Methods in Applied Sciences
Volume	25
Issue number	12
DOIs	https://doi.org/10.1142/S0218202515020029
Publication status	Published - 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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title = "New directions and challenging computations in fluid dynamics modeling with stabilized and multiscale methods",

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.",

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",

author = "Yuri Bazilevs and Kenji Takizawa and Tezduyar, {Tayfun E.}",

note = "Publisher Copyright: {\textcopyright} 2015 World Scientific Publishing Company.",

year = "2015",

month = nov,

day = "26",

doi = "10.1142/S0218202515020029",

language = "English",

volume = "25",

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TY - JOUR

T1 - New directions and challenging computations in fluid dynamics modeling with stabilized and multiscale methods

AU - Bazilevs, Yuri

AU - Takizawa, Kenji

AU - Tezduyar, Tayfun E.

PY - 2015/11/26

Y1 - 2015/11/26

N2 - 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.

AB - 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.

KW - ALE method

KW - ALE-VMS formulation

KW - DSD/SST formulation

KW - FSI

KW - ST-VMS formulation

KW - Stabilized formulation

KW - VMS

KW - fluid-structure interaction

KW - space-time method

KW - variational multiscale formulation

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DO - 10.1142/S0218202515020029

M3 - Review article

AN - SCOPUS:84940449737

SN - 0218-2025

VL - 25

SP - 2217

EP - 2226

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 12

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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