Subgrid-modelling in LES of Compressible Flow

A.W. Vreman; B.J. Geurts; J.G.M. Kuerten

doi:10.1007/978-94-011-1000-6_12

Subgrid-modelling in LES of Compressible Flow

A.W. Vreman, B.J. Geurts, J.G.M. Kuerten

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

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Abstract

Subgrid-models for Large Eddy Simulation (LES) of compressible turbulent flow are tested for the three-dimensional mixing layer. For the turbulent stress tensor the recently developed dynamic mixed model yields reasonable results. A priori estimates of the subgrid-terms in the filtered energy equation show that the usually neglected pressure-dilatation and turbulent dissipation rate are as large as the commonly retained pressure-velocity subgrid-term. Models for all these terms are proposed: a similarity model for the pressure-dilatation, similarity and k-dependent models for the turbulent dissipation rate and a dynamic mixed model for the pressure-velocity subgrid-term. Actual LES demonstrates that for a low Mach number all subgrid-terms in the energy equation can be neglected, while for a moderate Mach number the effect of the modelled turbulent dissipation rate is larger than the combined effect of the other modelled subgrid-terms in the filtered energy equation.

Original language	English
Title of host publication	Direct and Large-Eddy Simulation I
Subtitle of host publication	Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation
Editors	Peter R. Voke, Leonhard Kleiser, Jean-Pierre Chollet
Place of Publication	Dordrecht
Publisher	Kluwer Academic Publishers
Pages	133-144
Number of pages	12
ISBN (Electronic)	978-94-011-1000-6
ISBN (Print)	978-94-010-4434-9
DOIs	https://doi.org/10.1007/978-94-011-1000-6_12
Publication status	Published - 13 Feb 1994
Event	1st ERCOFTAC Workshop on Direct and Large-Eddy Simulation I 1994 - The University of Surrey, Guildford, United Kingdom Duration: 27 Mar 1994 → 30 Mar 1994 Conference number: 1

Publication series

Name	Fluid Mechanics and Its Applications
Publisher	Kluwer Academic
Volume	26
ISSN (Print)	0926-5112

Workshop

Workshop	1st ERCOFTAC Workshop on Direct and Large-Eddy Simulation I 1994
Country/Territory	United Kingdom
City	Guildford
Period	27/03/94 → 30/03/94

Keywords

Mach number
Large eddy simulation
Compressible flow
Turbulent stress
Turbulent dissipation rate

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10.1007/978-94-011-1000-6_12

Vreman1994subgrid-modellingFinal published version, 1.31 MB

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Vreman, A. W., Geurts, B. J., & Kuerten, J. G. M. (1994). Subgrid-modelling in LES of Compressible Flow. In P. R. Voke, L. Kleiser, & J-P. Chollet (Eds.), Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation (pp. 133-144). (Fluid Mechanics and Its Applications; Vol. 26). Kluwer Academic Publishers. https://doi.org/10.1007/978-94-011-1000-6_12

Vreman, A.W. ; Geurts, B.J. ; Kuerten, J.G.M. / Subgrid-modelling in LES of Compressible Flow. Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation. editor / Peter R. Voke ; Leonhard Kleiser ; Jean-Pierre Chollet. Dordrecht : Kluwer Academic Publishers, 1994. pp. 133-144 (Fluid Mechanics and Its Applications).

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title = "Subgrid-modelling in LES of Compressible Flow",

abstract = "Subgrid-models for Large Eddy Simulation (LES) of compressible turbulent flow are tested for the three-dimensional mixing layer. For the turbulent stress tensor the recently developed dynamic mixed model yields reasonable results. A priori estimates of the subgrid-terms in the filtered energy equation show that the usually neglected pressure-dilatation and turbulent dissipation rate are as large as the commonly retained pressure-velocity subgrid-term. Models for all these terms are proposed: a similarity model for the pressure-dilatation, similarity and k-dependent models for the turbulent dissipation rate and a dynamic mixed model for the pressure-velocity subgrid-term. Actual LES demonstrates that for a low Mach number all subgrid-terms in the energy equation can be neglected, while for a moderate Mach number the effect of the modelled turbulent dissipation rate is larger than the combined effect of the other modelled subgrid-terms in the filtered energy equation.",

keywords = "Mach number, Large eddy simulation, Compressible flow, Turbulent stress, Turbulent dissipation rate",

author = "A.W. Vreman and B.J. Geurts and J.G.M. Kuerten",

year = "1994",

month = feb,

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doi = "10.1007/978-94-011-1000-6_12",

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editor = "Voke, {Peter R.} and Leonhard Kleiser and Jean-Pierre Chollet",

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

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Vreman, AW, Geurts, BJ & Kuerten, JGM 1994, Subgrid-modelling in LES of Compressible Flow. in PR Voke, L Kleiser & J-P Chollet (eds), Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation. Fluid Mechanics and Its Applications, vol. 26, Kluwer Academic Publishers, Dordrecht, pp. 133-144, 1st ERCOFTAC Workshop on Direct and Large-Eddy Simulation I 1994, Guildford, United Kingdom, 27/03/94. https://doi.org/10.1007/978-94-011-1000-6_12

Subgrid-modelling in LES of Compressible Flow. / Vreman, A.W.; Geurts, B.J.; Kuerten, J.G.M.

Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation. ed. / Peter R. Voke; Leonhard Kleiser; Jean-Pierre Chollet. Dordrecht : Kluwer Academic Publishers, 1994. p. 133-144 (Fluid Mechanics and Its Applications; Vol. 26).

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

TY - GEN

T1 - Subgrid-modelling in LES of Compressible Flow

AU - Vreman, A.W.

AU - Geurts, B.J.

AU - Kuerten, J.G.M.

N1 - Conference code: 1

PY - 1994/2/13

Y1 - 1994/2/13

N2 - Subgrid-models for Large Eddy Simulation (LES) of compressible turbulent flow are tested for the three-dimensional mixing layer. For the turbulent stress tensor the recently developed dynamic mixed model yields reasonable results. A priori estimates of the subgrid-terms in the filtered energy equation show that the usually neglected pressure-dilatation and turbulent dissipation rate are as large as the commonly retained pressure-velocity subgrid-term. Models for all these terms are proposed: a similarity model for the pressure-dilatation, similarity and k-dependent models for the turbulent dissipation rate and a dynamic mixed model for the pressure-velocity subgrid-term. Actual LES demonstrates that for a low Mach number all subgrid-terms in the energy equation can be neglected, while for a moderate Mach number the effect of the modelled turbulent dissipation rate is larger than the combined effect of the other modelled subgrid-terms in the filtered energy equation.

AB - Subgrid-models for Large Eddy Simulation (LES) of compressible turbulent flow are tested for the three-dimensional mixing layer. For the turbulent stress tensor the recently developed dynamic mixed model yields reasonable results. A priori estimates of the subgrid-terms in the filtered energy equation show that the usually neglected pressure-dilatation and turbulent dissipation rate are as large as the commonly retained pressure-velocity subgrid-term. Models for all these terms are proposed: a similarity model for the pressure-dilatation, similarity and k-dependent models for the turbulent dissipation rate and a dynamic mixed model for the pressure-velocity subgrid-term. Actual LES demonstrates that for a low Mach number all subgrid-terms in the energy equation can be neglected, while for a moderate Mach number the effect of the modelled turbulent dissipation rate is larger than the combined effect of the other modelled subgrid-terms in the filtered energy equation.

KW - Mach number

KW - Large eddy simulation

KW - Compressible flow

KW - Turbulent stress

KW - Turbulent dissipation rate

U2 - 10.1007/978-94-011-1000-6_12

DO - 10.1007/978-94-011-1000-6_12

M3 - Conference contribution

SN - 978-94-010-4434-9

T3 - Fluid Mechanics and Its Applications

SP - 133

EP - 144

BT - Direct and Large-Eddy Simulation I

A2 - Voke, Peter R.

A2 - Kleiser, Leonhard

A2 - Chollet, Jean-Pierre

PB - Kluwer Academic Publishers

CY - Dordrecht

T2 - 1st ERCOFTAC Workshop on Direct and Large-Eddy Simulation I 1994

Y2 - 27 March 1994 through 30 March 1994

ER -

Vreman AW, Geurts BJ, Kuerten JGM. Subgrid-modelling in LES of Compressible Flow. In Voke PR, Kleiser L, Chollet J-P, editors, Direct and Large-Eddy Simulation I: Selected papers from the First ERCOFTAC Workshop on Direct and Large-Eddy Simulation. Dordrecht: Kluwer Academic Publishers. 1994. p. 133-144. (Fluid Mechanics and Its Applications). https://doi.org/10.1007/978-94-011-1000-6_12

Subgrid-modelling in LES of Compressible Flow

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