Nonlinear Regularization for Large-Eddy Simulation

Bernard J. Geurts; Darryl D. Holm

doi:10.1007/978-1-4020-2313-2_1

Nonlinear Regularization for Large-Eddy Simulation

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

Abstract

We review the spatial filtering approach to large-eddy simulation and describe the intuitive dissipation and similarity requirements, commonly imposed on models for the turbulent stress. Then we present direct regularization of the nonlinear convective flux which provides a systematic framework for deriving the implied subgrid model. This approach allows one to incorporate several rigorous mathematical properties of solutions to the Navier-Stokes system into the modeled large-eddy formulation. Regularization maintains the central transport structure of the governing equations. We illustrate the approach with Leray regularization and the Lagrangian averaged Navier-Stokes-α model. The new subgrid models are applied to turbulent mixing. These models display a strongly improved accuracy of predictions compared to dynamic subgrid models, as well as robustness at high Reynolds number.

Original language	English
Title of host publication	Direct and Large-Eddy Simulation V
Subtitle of host publication	Proceedings of the fifth international ERCOFTAC Workshop on Direct and Large-Eddy Simulation held at the Munich University of Technology, August 27–29, 2003
Editors	Rainer Friedrich, Bernard J. Geurts, Olivier Métais
Place of Publication	Dordrecht
Publisher	Kluwer Academic Publishers
Pages	5-14
ISBN (Electronic)	978-1-4020-2313-2
ISBN (Print)	978-90-481-6575-9
DOIs	https://doi.org/10.1007/978-1-4020-2313-2_1
Publication status	Published - 27 Aug 2004
Event	5th ERCOFTAC Workshop on Direct and Large-Eddy Simulation V, DLES 2003 - Munich University of Technology, Munich, Germany Duration: 27 Aug 2003 → 29 Aug 2003 Conference number: 5

Publication series

Name	ERCOFTAC series
Publisher	Kluwer Academic
Volume	9
ISSN (Print)	1382-4309

Conference

Conference	5th ERCOFTAC Workshop on Direct and Large-Eddy Simulation V, DLES 2003
Abbreviated title	DLES
Country/Territory	Germany
City	Munich
Period	27/08/03 → 29/08/03

Keywords

Regularization
Turbulence
Large-Eddy simulation
Kelvin theorem

Access to Document

10.1007/978-1-4020-2313-2_1

Cite this

Geurts, B. J., & Holm, D. D. (2004). Nonlinear Regularization for Large-Eddy Simulation. In R. Friedrich, B. J. Geurts, & O. Métais (Eds.), Direct and Large-Eddy Simulation V: Proceedings of the fifth international ERCOFTAC Workshop on Direct and Large-Eddy Simulation held at the Munich University of Technology, August 27–29, 2003 (pp. 5-14). (ERCOFTAC series; Vol. 9). Kluwer Academic Publishers. https://doi.org/10.1007/978-1-4020-2313-2_1

Geurts, Bernard J. ; Holm, Darryl D. / Nonlinear Regularization for Large-Eddy Simulation. Direct and Large-Eddy Simulation V: Proceedings of the fifth international ERCOFTAC Workshop on Direct and Large-Eddy Simulation held at the Munich University of Technology, August 27–29, 2003. editor / Rainer Friedrich ; Bernard J. Geurts ; Olivier Métais. Dordrecht : Kluwer Academic Publishers, 2004. pp. 5-14 (ERCOFTAC series).

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abstract = "We review the spatial filtering approach to large-eddy simulation and describe the intuitive dissipation and similarity requirements, commonly imposed on models for the turbulent stress. Then we present direct regularization of the nonlinear convective flux which provides a systematic framework for deriving the implied subgrid model. This approach allows one to incorporate several rigorous mathematical properties of solutions to the Navier-Stokes system into the modeled large-eddy formulation. Regularization maintains the central transport structure of the governing equations. We illustrate the approach with Leray regularization and the Lagrangian averaged Navier-Stokes-α model. The new subgrid models are applied to turbulent mixing. These models display a strongly improved accuracy of predictions compared to dynamic subgrid models, as well as robustness at high Reynolds number.",

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booktitle = "Direct and Large-Eddy Simulation V",

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Geurts, BJ & Holm, DD 2004, Nonlinear Regularization for Large-Eddy Simulation. in R Friedrich, BJ Geurts & O Métais (eds), Direct and Large-Eddy Simulation V: Proceedings of the fifth international ERCOFTAC Workshop on Direct and Large-Eddy Simulation held at the Munich University of Technology, August 27–29, 2003. ERCOFTAC series, vol. 9, Kluwer Academic Publishers, Dordrecht, pp. 5-14, 5th ERCOFTAC Workshop on Direct and Large-Eddy Simulation V, DLES 2003, Munich, Bavaria, Germany, 27/08/03. https://doi.org/10.1007/978-1-4020-2313-2_1

Nonlinear Regularization for Large-Eddy Simulation. / Geurts, Bernard J.; Holm, Darryl D.
Direct and Large-Eddy Simulation V: Proceedings of the fifth international ERCOFTAC Workshop on Direct and Large-Eddy Simulation held at the Munich University of Technology, August 27–29, 2003. ed. / Rainer Friedrich; Bernard J. Geurts; Olivier Métais. Dordrecht: Kluwer Academic Publishers, 2004. p. 5-14 (ERCOFTAC series; Vol. 9).

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

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N2 - We review the spatial filtering approach to large-eddy simulation and describe the intuitive dissipation and similarity requirements, commonly imposed on models for the turbulent stress. Then we present direct regularization of the nonlinear convective flux which provides a systematic framework for deriving the implied subgrid model. This approach allows one to incorporate several rigorous mathematical properties of solutions to the Navier-Stokes system into the modeled large-eddy formulation. Regularization maintains the central transport structure of the governing equations. We illustrate the approach with Leray regularization and the Lagrangian averaged Navier-Stokes-α model. The new subgrid models are applied to turbulent mixing. These models display a strongly improved accuracy of predictions compared to dynamic subgrid models, as well as robustness at high Reynolds number.

AB - We review the spatial filtering approach to large-eddy simulation and describe the intuitive dissipation and similarity requirements, commonly imposed on models for the turbulent stress. Then we present direct regularization of the nonlinear convective flux which provides a systematic framework for deriving the implied subgrid model. This approach allows one to incorporate several rigorous mathematical properties of solutions to the Navier-Stokes system into the modeled large-eddy formulation. Regularization maintains the central transport structure of the governing equations. We illustrate the approach with Leray regularization and the Lagrangian averaged Navier-Stokes-α model. The new subgrid models are applied to turbulent mixing. These models display a strongly improved accuracy of predictions compared to dynamic subgrid models, as well as robustness at high Reynolds number.

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KW - Turbulence

KW - Large-Eddy simulation

KW - Kelvin theorem

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BT - Direct and Large-Eddy Simulation V

A2 - Friedrich, Rainer

A2 - Geurts, Bernard J.

A2 - Métais, Olivier

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T2 - 5th ERCOFTAC Workshop on Direct and Large-Eddy Simulation V, DLES 2003

Y2 - 27 August 2003 through 29 August 2003

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Geurts BJ, Holm DD. Nonlinear Regularization for Large-Eddy Simulation. In Friedrich R, Geurts BJ, Métais O, editors, Direct and Large-Eddy Simulation V: Proceedings of the fifth international ERCOFTAC Workshop on Direct and Large-Eddy Simulation held at the Munich University of Technology, August 27–29, 2003. Dordrecht: Kluwer Academic Publishers. 2004. p. 5-14. (ERCOFTAC series). doi: 10.1007/978-1-4020-2313-2_1

Nonlinear Regularization for Large-Eddy Simulation

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Keywords

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