Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width

Fedderik van der Bos; Bernard J. Geurts

doi:10.1007/978-1-4020-2313-2_18

Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width

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

Abstract

In large-eddy simulation only the large scales in a turbulent flow are calculated explicitly and the small scales are effectively removed by the application of a filter with filter-width ∆. For LES of flows in complex geometries it is generally assumed that a non-uniform filter-width ∆(x) is advantageous. Application of non-uniform filters introduces additional sub-grid scale terms, referred to as commutator-errors. The commutator-error corresponds to filter-width variations along a flow-path and expresses differences in the local capturing of small scale flow-features. Therefore, a high correlation is expected between the specific filter-width non-uniformities and the production/dissipation of kinetic energy. This is confirmed by novel a priori analysis of turbulent mixing. In particular, commutator-errors arising from symmetric or non-symmetric filters are shown to differ considerably in dynamic implications.

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	155-162
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_18
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

Turbulence
Large-Eddy simulation
Non-uniform filters
Commutator-error

Access to Document

10.1007/978-1-4020-2313-2_18

Cite this

van der Bos, F., & Geurts, B. J. (2004). Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width. 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. 155-162). (ERCOFTAC series; Vol. 9). Kluwer Academic Publishers. https://doi.org/10.1007/978-1-4020-2313-2_18

van der Bos, Fedderik ; Geurts, Bernard J. / Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width. 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. 155-162 (ERCOFTAC series).

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title = "Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width",

abstract = "In large-eddy simulation only the large scales in a turbulent flow are calculated explicitly and the small scales are effectively removed by the application of a filter with filter-width ∆. For LES of flows in complex geometries it is generally assumed that a non-uniform filter-width ∆(x) is advantageous. Application of non-uniform filters introduces additional sub-grid scale terms, referred to as commutator-errors. The commutator-error corresponds to filter-width variations along a flow-path and expresses differences in the local capturing of small scale flow-features. Therefore, a high correlation is expected between the specific filter-width non-uniformities and the production/dissipation of kinetic energy. This is confirmed by novel a priori analysis of turbulent mixing. In particular, commutator-errors arising from symmetric or non-symmetric filters are shown to differ considerably in dynamic implications.",

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van der Bos, F & Geurts, BJ 2004, Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width. 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. 155-162, 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_18

Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width. / van der Bos, Fedderik; Geurts, Bernard J.
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. 155-162 (ERCOFTAC series; Vol. 9).

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

TY - GEN

T1 - Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width

AU - van der Bos, Fedderik

AU - Geurts, Bernard J.

N1 - Conference code: 5

PY - 2004/8/27

Y1 - 2004/8/27

N2 - In large-eddy simulation only the large scales in a turbulent flow are calculated explicitly and the small scales are effectively removed by the application of a filter with filter-width ∆. For LES of flows in complex geometries it is generally assumed that a non-uniform filter-width ∆(x) is advantageous. Application of non-uniform filters introduces additional sub-grid scale terms, referred to as commutator-errors. The commutator-error corresponds to filter-width variations along a flow-path and expresses differences in the local capturing of small scale flow-features. Therefore, a high correlation is expected between the specific filter-width non-uniformities and the production/dissipation of kinetic energy. This is confirmed by novel a priori analysis of turbulent mixing. In particular, commutator-errors arising from symmetric or non-symmetric filters are shown to differ considerably in dynamic implications.

AB - In large-eddy simulation only the large scales in a turbulent flow are calculated explicitly and the small scales are effectively removed by the application of a filter with filter-width ∆. For LES of flows in complex geometries it is generally assumed that a non-uniform filter-width ∆(x) is advantageous. Application of non-uniform filters introduces additional sub-grid scale terms, referred to as commutator-errors. The commutator-error corresponds to filter-width variations along a flow-path and expresses differences in the local capturing of small scale flow-features. Therefore, a high correlation is expected between the specific filter-width non-uniformities and the production/dissipation of kinetic energy. This is confirmed by novel a priori analysis of turbulent mixing. In particular, commutator-errors arising from symmetric or non-symmetric filters are shown to differ considerably in dynamic implications.

KW - Turbulence

KW - Large-Eddy simulation

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KW - Commutator-error

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DO - 10.1007/978-1-4020-2313-2_18

M3 - Conference contribution

SN - 978-90-481-6575-9

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BT - Direct and Large-Eddy Simulation V

A2 - Friedrich, Rainer

A2 - Geurts, Bernard J.

A2 - Métais, Olivier

PB - Kluwer Academic Publishers

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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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van der Bos F, Geurts BJ. Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width. 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. 155-162. (ERCOFTAC series). doi: 10.1007/978-1-4020-2313-2_18

Dynamics of Commutator-Errors in LES with Non-Uniform Filter-Width

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