Regularization Modeling of Commutator-Errors in Large-Eddy Simulation of Wall-Bounded Turbulence

Bernardus J. Geurts

Regularization Modeling of Commutator-Errors in Large-Eddy Simulation of Wall-Bounded Turbulence

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

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Abstract

Commutator errors arise in large-eddy simulation of incompressible turbulent flow from the application of non-uniform filters to the continuity and Navier-Stokes equations. Control over the commutator errors compared to the turbulent stress fluxes can only be obtained by appropriately restricting the spatial variations of the filter-width and filter-skewness. For situations in which the dynamical consequences of the commutator errors are significant, e.g., near solid boundaries, explicit similarity modeling for the commutator errors is proposed, including Leray regularization. The performance of this commutator error parameterization is illustrated for the one-dimensional Burgers equation. The Leray approach is found to capture the filtered flow with higher accuracy than conventional similarity modeling, which is particularly relevant for large filter-width variations.

Original language	English
Title of host publication	Proceedings of the V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010
Editors	J.C.F Pereira, A. Sequeira, J.M.C. Pereira
Place of Publication	Lisbon
Publisher	Technical University of Lisbon
Number of pages	12
ISBN (Print)	978-989-96778-1-4
Publication status	Published - 2010
Event	5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010 - Lisbon, Portugal Duration: 14 Jun 2010 → 17 Jun 2010 Conference number: 5

Conference

Conference	5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010
Abbreviated title	ECCOMAS ECFD 2010
Country/Territory	Portugal
City	Lisbon
Period	14/06/10 → 17/06/10

Keywords

Heterogeneous turbulence
Non-uniform filtering
Large-eddy simulation
Regularization models
Commutator errors

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title = "Regularization Modeling of Commutator-Errors in Large-Eddy Simulation of Wall-Bounded Turbulence",

abstract = "Commutator errors arise in large-eddy simulation of incompressible turbulent flow from the application of non-uniform filters to the continuity and Navier-Stokes equations. Control over the commutator errors compared to the turbulent stress fluxes can only be obtained by appropriately restricting the spatial variations of the filter-width and filter-skewness. For situations in which the dynamical consequences of the commutator errors are significant, e.g., near solid boundaries, explicit similarity modeling for the commutator errors is proposed, including Leray regularization. The performance of this commutator error parameterization is illustrated for the one-dimensional Burgers equation. The Leray approach is found to capture the filtered flow with higher accuracy than conventional similarity modeling, which is particularly relevant for large filter-width variations.",

keywords = "Heterogeneous turbulence, Non-uniform filtering, Large-eddy simulation, Regularization models, Commutator errors",

author = "Geurts, {Bernardus J.}",

year = "2010",

language = "English",

isbn = "978-989-96778-1-4",

editor = "J.C.F Pereira and A. Sequeira and J.M.C. Pereira",

booktitle = "Proceedings of the V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010",

publisher = "Technical University of Lisbon",

note = "5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010, ECCOMAS ECFD 2010 ; Conference date: 14-06-2010 Through 17-06-2010",

}

Geurts, BJ 2010, Regularization Modeling of Commutator-Errors in Large-Eddy Simulation of Wall-Bounded Turbulence. in JCF Pereira, A Sequeira & JMC Pereira (eds), Proceedings of the V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010., 01637, Technical University of Lisbon, Lisbon, 5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010, Lisbon, Portugal, 14/06/10.

Regularization Modeling of Commutator-Errors in Large-Eddy Simulation of Wall-Bounded Turbulence. / Geurts, Bernardus J.
Proceedings of the V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010. ed. / J.C.F Pereira; A. Sequeira; J.M.C. Pereira. Lisbon: Technical University of Lisbon, 2010. 01637.

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

TY - GEN

T1 - Regularization Modeling of Commutator-Errors in Large-Eddy Simulation of Wall-Bounded Turbulence

AU - Geurts, Bernardus J.

N1 - Conference code: 5

PY - 2010

Y1 - 2010

N2 - Commutator errors arise in large-eddy simulation of incompressible turbulent flow from the application of non-uniform filters to the continuity and Navier-Stokes equations. Control over the commutator errors compared to the turbulent stress fluxes can only be obtained by appropriately restricting the spatial variations of the filter-width and filter-skewness. For situations in which the dynamical consequences of the commutator errors are significant, e.g., near solid boundaries, explicit similarity modeling for the commutator errors is proposed, including Leray regularization. The performance of this commutator error parameterization is illustrated for the one-dimensional Burgers equation. The Leray approach is found to capture the filtered flow with higher accuracy than conventional similarity modeling, which is particularly relevant for large filter-width variations.

AB - Commutator errors arise in large-eddy simulation of incompressible turbulent flow from the application of non-uniform filters to the continuity and Navier-Stokes equations. Control over the commutator errors compared to the turbulent stress fluxes can only be obtained by appropriately restricting the spatial variations of the filter-width and filter-skewness. For situations in which the dynamical consequences of the commutator errors are significant, e.g., near solid boundaries, explicit similarity modeling for the commutator errors is proposed, including Leray regularization. The performance of this commutator error parameterization is illustrated for the one-dimensional Burgers equation. The Leray approach is found to capture the filtered flow with higher accuracy than conventional similarity modeling, which is particularly relevant for large filter-width variations.

KW - Heterogeneous turbulence

KW - Non-uniform filtering

KW - Large-eddy simulation

KW - Regularization models

KW - Commutator errors

M3 - Conference contribution

SN - 978-989-96778-1-4

BT - Proceedings of the V European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010

A2 - Pereira, J.C.F

A2 - Sequeira, A.

A2 - Pereira, J.M.C.

PB - Technical University of Lisbon

CY - Lisbon

T2 - 5th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2010

Y2 - 14 June 2010 through 17 June 2010

ER -

Regularization Modeling of Commutator-Errors in Large-Eddy Simulation of Wall-Bounded Turbulence

Abstract

Conference

Keywords

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