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 language | English |
|---|---|
| Journal | Mathematical Models and Methods in Applied Sciences |
| DOIs | |
| Publication status | Published - 2019 Jan 1 |
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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
Computational analysis methods for complex unsteady flow problems. / Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.
In: Mathematical Models and Methods in Applied Sciences, 01.01.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Computational analysis methods for complex unsteady flow problems
AU - Bazilevs, Yuri
AU - Takizawa, Kenji
AU - Tezduyar, Tayfun E.
PY - 2019/1/1
Y1 - 2019/1/1
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.
AB - 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.
KW - ALE method
KW - ALE-VMS method
KW - DSD/SST method
KW - fluid-structure interaction
KW - FSI
KW - Navier-Stokes-Korteweg equations
KW - space-time method
KW - ST-VMS method
KW - Stabilized methods
KW - variational multiscale method
KW - VMS
UR - http://www.scopus.com/inward/record.url?scp=85063468913&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85063468913&partnerID=8YFLogxK
U2 - 10.1142/S0218202519020020
DO - 10.1142/S0218202519020020
M3 - Article
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
SN - 0218-2025
ER -