A Minimum-Relaxation Model for Large-Eddy Simulation

Roel Verstappen

doi:10.1007/978-3-319-60387-2_28

A Minimum-Relaxation Model for Large-Eddy Simulation

Roel Verstappen

Computational and Numerical Mathematics

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

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Abstract

This paper is about a relaxation model for large-eddy simulation of turbulent flow that truncates the small scales of motion for which numerical resolution is not available by making sure that they do not get energy from the larger, resolved, eddies. The resolved scales are defined with the help of a box filter. The relaxation parameter is determined in such a way that the production of too small, box-fitting, scales is counteracted by the modeled dissipation. This dissipation-production balance is worked out with the help of Poincaré’s inequality, which results in a relaxation model that depends on the invariants of the velocity gradient. This model is discretized and equipped with a Schumann filter. It is successfully tested for isotropic turbulence as well as for turbulent channel flow.

Original language	English
Title of host publication	Turbulence and Interactions
Publisher	Springer
Pages	255-261
Number of pages	6
ISBN (Electronic)	978-3-319-60387-2
ISBN (Print)	978-3-319-60386-5
DOIs	https://doi.org/10.1007/978-3-319-60387-2_28
Publication status	Published - 2018
Event	Proceedings of the TI 2015 Conference - Cargèse, Corsica, France Duration: 11-Jun-2015 → 14-Jun-2015

Publication series

Name	Notes on Numerical Fluid Mechanics and Multidisciplinary Design
Publisher	Springer
Volume	135
ISSN (Print)	1612-2909
ISSN (Electronic)	1860-0824

Conference

Conference	Proceedings of the TI 2015 Conference
Country/Territory	France
City	Cargèse, Corsica
Period	11/06/2015 → 14/06/2015

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10.1007/978-3-319-60387-2_28

A minimum-relaxation model for large eddy simulationFinal publisher's version, 134 KBLicence: Taverne

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@inproceedings{074084553a6d4390b9709a1d44488b10,

title = "A Minimum-Relaxation Model for Large-Eddy Simulation",

abstract = "This paper is about a relaxation model for large-eddy simulation of turbulent flow that truncates the small scales of motion for which numerical resolution is not available by making sure that they do not get energy from the larger, resolved, eddies. The resolved scales are defined with the help of a box filter. The relaxation parameter is determined in such a way that the production of too small, box-fitting, scales is counteracted by the modeled dissipation. This dissipation-production balance is worked out with the help of Poincar{\'e}{\textquoteright}s inequality, which results in a relaxation model that depends on the invariants of the velocity gradient. This model is discretized and equipped with a Schumann filter. It is successfully tested for isotropic turbulence as well as for turbulent channel flow.",

author = "Roel Verstappen",

year = "2018",

doi = "10.1007/978-3-319-60387-2\_28",

language = "English",

isbn = "978-3-319-60386-5",

series = "Notes on Numerical Fluid Mechanics and Multidisciplinary Design",

publisher = "Springer",

pages = "255--261 ",

booktitle = "Turbulence and Interactions",

note = "Proceedings of the TI 2015 Conference ; Conference date: 11-06-2015 Through 14-06-2015",

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AU - Verstappen, Roel

PY - 2018

Y1 - 2018

N2 - This paper is about a relaxation model for large-eddy simulation of turbulent flow that truncates the small scales of motion for which numerical resolution is not available by making sure that they do not get energy from the larger, resolved, eddies. The resolved scales are defined with the help of a box filter. The relaxation parameter is determined in such a way that the production of too small, box-fitting, scales is counteracted by the modeled dissipation. This dissipation-production balance is worked out with the help of Poincaré’s inequality, which results in a relaxation model that depends on the invariants of the velocity gradient. This model is discretized and equipped with a Schumann filter. It is successfully tested for isotropic turbulence as well as for turbulent channel flow.

AB - This paper is about a relaxation model for large-eddy simulation of turbulent flow that truncates the small scales of motion for which numerical resolution is not available by making sure that they do not get energy from the larger, resolved, eddies. The resolved scales are defined with the help of a box filter. The relaxation parameter is determined in such a way that the production of too small, box-fitting, scales is counteracted by the modeled dissipation. This dissipation-production balance is worked out with the help of Poincaré’s inequality, which results in a relaxation model that depends on the invariants of the velocity gradient. This model is discretized and equipped with a Schumann filter. It is successfully tested for isotropic turbulence as well as for turbulent channel flow.

U2 - 10.1007/978-3-319-60387-2_28

DO - 10.1007/978-3-319-60387-2_28

M3 - Conference contribution

SN - 978-3-319-60386-5

T3 - Notes on Numerical Fluid Mechanics and Multidisciplinary Design

SP - 255

EP - 261

BT - Turbulence and Interactions

PB - Springer

T2 - Proceedings of the TI 2015 Conference

Y2 - 11 June 2015 through 14 June 2015

ER -

A Minimum-Relaxation Model for Large-Eddy Simulation

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