Residual-Based Variational Multiscale Theory of LES Turbulence Modeling

Y. Bazilevs; Victor M. Calo; T. J. R. Hughes; G. Scovazzi

doi:10.1007/978-90-481-9809-2_1

Residual-Based Variational Multiscale Theory of LES Turbulence Modeling

Y. Bazilevs, Victor M. Calo, T. J. R. Hughes, G. Scovazzi

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We present an apercu of our variational multiscale theory of LES turbulence. The theory is succinctly summarized in terms of a finite-dimensional coarse-scale equation governing the resolved scales that depend parametrically upon unresolved fine scales, which in turn are defined in terms of a functional of the coarse-scale residual “lifted” to the dual of the fine-scale space, and the coarse-scale velocity field itself.We illustrate the performance of a numerical implementation of the theory with calculations of a turbulent channel flow at a friction-velocity Reynolds number of 395 and comparisons with the DNS data.

Original language	English (US)
Title of host publication	Multiscale Methods in Computational Mechanics
Publisher	Springer Netherlands
Pages	3-18
Number of pages	16
ISBN (Print)	9789048198085
DOIs	https://doi.org/10.1007/978-90-481-9809-2_1
State	Published - 2011

Bibliographical note

KAUST Repository Item: Exported on 2021-08-12

ASJC Scopus subject areas

Computational Theory and Mathematics
Mechanical Engineering

Access to Document

10.1007/978-90-481-9809-2_1

Cite this

@inbook{ac22a284321b4281ac5936e1a9cdfa29,

title = "Residual-Based Variational Multiscale Theory of LES Turbulence Modeling",

abstract = "We present an apercu of our variational multiscale theory of LES turbulence. The theory is succinctly summarized in terms of a finite-dimensional coarse-scale equation governing the resolved scales that depend parametrically upon unresolved fine scales, which in turn are defined in terms of a functional of the coarse-scale residual “lifted” to the dual of the fine-scale space, and the coarse-scale velocity field itself.We illustrate the performance of a numerical implementation of the theory with calculations of a turbulent channel flow at a friction-velocity Reynolds number of 395 and comparisons with the DNS data.",

author = "Y. Bazilevs and Calo, {Victor M.} and Hughes, {T. J. R.} and G. Scovazzi",

note = "KAUST Repository Item: Exported on 2021-08-12",

year = "2011",

doi = "10.1007/978-90-481-9809-2_1",

language = "English (US)",

isbn = "9789048198085",

pages = "3--18",

booktitle = "Multiscale Methods in Computational Mechanics",

publisher = "Springer Netherlands",

address = "Netherlands",

}

TY - CHAP

T1 - Residual-Based Variational Multiscale Theory of LES Turbulence Modeling

AU - Bazilevs, Y.

AU - Calo, Victor M.

AU - Hughes, T. J. R.

AU - Scovazzi, G.

N1 - KAUST Repository Item: Exported on 2021-08-12

PY - 2011

Y1 - 2011

N2 - We present an apercu of our variational multiscale theory of LES turbulence. The theory is succinctly summarized in terms of a finite-dimensional coarse-scale equation governing the resolved scales that depend parametrically upon unresolved fine scales, which in turn are defined in terms of a functional of the coarse-scale residual “lifted” to the dual of the fine-scale space, and the coarse-scale velocity field itself.We illustrate the performance of a numerical implementation of the theory with calculations of a turbulent channel flow at a friction-velocity Reynolds number of 395 and comparisons with the DNS data.

AB - We present an apercu of our variational multiscale theory of LES turbulence. The theory is succinctly summarized in terms of a finite-dimensional coarse-scale equation governing the resolved scales that depend parametrically upon unresolved fine scales, which in turn are defined in terms of a functional of the coarse-scale residual “lifted” to the dual of the fine-scale space, and the coarse-scale velocity field itself.We illustrate the performance of a numerical implementation of the theory with calculations of a turbulent channel flow at a friction-velocity Reynolds number of 395 and comparisons with the DNS data.

UR - http://hdl.handle.net/10754/670564

UR - http://link.springer.com/10.1007/978-90-481-9809-2_1

U2 - 10.1007/978-90-481-9809-2_1

DO - 10.1007/978-90-481-9809-2_1

M3 - Chapter

SN - 9789048198085

SP - 3

EP - 18

BT - Multiscale Methods in Computational Mechanics

PB - Springer Netherlands

ER -

Residual-Based Variational Multiscale Theory of LES Turbulence Modeling

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this