Variational multiscale theory of LES turbulence modeling

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

doi:10.1007/978-90-481-3652-0_16

Variational multiscale theory of LES turbulence modeling

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

Physical Sciences and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We present an LES-type variational multiscale theory of turbulence. Our approach derives completely from the incompressible Navier–Stokes equations and does not employ any ad hoc devices, such as eddy viscosities. We tested the formulation on a turbulent channel flow. In the calculations, we employed quadratic and cubic B-Splines. The numerical results are very good and confirm the viability of the theoretical framework. (This paper is excerpted from Bazilevs et al. [1], which is a much more comprehensive presentation of the theory, algorithms, implementation, and numerical studies. The reader is referred to it for further elaboration and many additional details.).

Original language	English (US)
Title of host publication	Direct and Large-Eddy Simulation VII - Proceedings of the 7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008
Editors	Bernard Geurts, Jochen Frohlich, Vincenzo Armenio
Publisher	Springer Netherland
Pages	103-112
Number of pages	10
ISBN (Print)	9789048136513
DOIs	https://doi.org/10.1007/978-90-481-3652-0_16
State	Published - 2010
Event	7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008 - Trieste, Italy Duration: Sep 8 2008 → Sep 10 2008

Publication series

Name	ERCOFTAC Series
Volume	13
ISSN (Print)	1382-4309
ISSN (Electronic)	2215-1826

Conference

Conference	7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008
Country/Territory	Italy
City	Trieste
Period	09/8/08 → 09/10/08

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
Computational Mathematics

Access to Document

10.1007/978-90-481-3652-0_16

Cite this

Bazilevs, Y., Calo, V. M., Hughes, T. J. R., & Scovazzi, G. (2010). Variational multiscale theory of LES turbulence modeling. In B. Geurts, J. Frohlich, & V. Armenio (Eds.), Direct and Large-Eddy Simulation VII - Proceedings of the 7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008 (pp. 103-112). (ERCOFTAC Series; Vol. 13). Springer Netherland. https://doi.org/10.1007/978-90-481-3652-0_16

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title = "Variational multiscale theory of LES turbulence modeling",

abstract = "We present an LES-type variational multiscale theory of turbulence. Our approach derives completely from the incompressible Navier–Stokes equations and does not employ any ad hoc devices, such as eddy viscosities. We tested the formulation on a turbulent channel flow. In the calculations, we employed quadratic and cubic B-Splines. The numerical results are very good and confirm the viability of the theoretical framework. (This paper is excerpted from Bazilevs et al. [1], which is a much more comprehensive presentation of the theory, algorithms, implementation, and numerical studies. The reader is referred to it for further elaboration and many additional details.).",

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

note = "Funding Information: We wish to express our appreciation for support provided by the Office of Naval Research under Contract No. N00014-03-0263, Dr. Luise Couchman, contract monitor, and Sandia National Laboratories under Contract No. 114166. Publisher Copyright: {\textcopyright} Springer Science+Business Media B.V. 2010.; 7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008 ; Conference date: 08-09-2008 Through 10-09-2008",

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doi = "10.1007/978-90-481-3652-0_16",

language = "English (US)",

isbn = "9789048136513",

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Bazilevs, Y, Calo, VM, Hughes, TJR & Scovazzi, G 2010, Variational multiscale theory of LES turbulence modeling. in B Geurts, J Frohlich & V Armenio (eds), Direct and Large-Eddy Simulation VII - Proceedings of the 7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008. ERCOFTAC Series, vol. 13, Springer Netherland, pp. 103-112, 7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008, Trieste, Italy, 09/8/08. https://doi.org/10.1007/978-90-481-3652-0_16

Variational multiscale theory of LES turbulence modeling. / Bazilevs, Y.; Calo, V. M.; Hughes, T. J.R. et al.
Direct and Large-Eddy Simulation VII - Proceedings of the 7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008. ed. / Bernard Geurts; Jochen Frohlich; Vincenzo Armenio. Springer Netherland, 2010. p. 103-112 (ERCOFTAC Series; Vol. 13).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Variational multiscale theory of LES turbulence modeling

AU - Bazilevs, Y.

AU - Calo, V. M.

AU - Hughes, T. J.R.

AU - Scovazzi, G.

N1 - Funding Information: We wish to express our appreciation for support provided by the Office of Naval Research under Contract No. N00014-03-0263, Dr. Luise Couchman, contract monitor, and Sandia National Laboratories under Contract No. 114166. Publisher Copyright: © Springer Science+Business Media B.V. 2010.

PY - 2010

Y1 - 2010

N2 - We present an LES-type variational multiscale theory of turbulence. Our approach derives completely from the incompressible Navier–Stokes equations and does not employ any ad hoc devices, such as eddy viscosities. We tested the formulation on a turbulent channel flow. In the calculations, we employed quadratic and cubic B-Splines. The numerical results are very good and confirm the viability of the theoretical framework. (This paper is excerpted from Bazilevs et al. [1], which is a much more comprehensive presentation of the theory, algorithms, implementation, and numerical studies. The reader is referred to it for further elaboration and many additional details.).

AB - We present an LES-type variational multiscale theory of turbulence. Our approach derives completely from the incompressible Navier–Stokes equations and does not employ any ad hoc devices, such as eddy viscosities. We tested the formulation on a turbulent channel flow. In the calculations, we employed quadratic and cubic B-Splines. The numerical results are very good and confirm the viability of the theoretical framework. (This paper is excerpted from Bazilevs et al. [1], which is a much more comprehensive presentation of the theory, algorithms, implementation, and numerical studies. The reader is referred to it for further elaboration and many additional details.).

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T3 - ERCOFTAC Series

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BT - Direct and Large-Eddy Simulation VII - Proceedings of the 7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008

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A2 - Frohlich, Jochen

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Bazilevs Y, Calo VM, Hughes TJR, Scovazzi G. Variational multiscale theory of LES turbulence modeling. In Geurts B, Frohlich J, Armenio V, editors, Direct and Large-Eddy Simulation VII - Proceedings of the 7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008. Springer Netherland. 2010. p. 103-112. (ERCOFTAC Series). doi: 10.1007/978-90-481-3652-0_16

Variational multiscale theory of LES turbulence modeling

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