Partially Lagging One-Equation Turbulence Model

A partially lagging one-equation eddy viscosity model, based on the transformation of the turbulence closure through Bradshaw et al. (“Calculation of Boundary Layer Development Using the Turbulent Energy Equation,” Journal of Fluid Mechanics, Vol. 23, No. 3, 1967, pp. 593–616), is proposed. The mode...

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التفاصيل البيبلوغرافية
المؤلف الرئيسي: Elkhoury, Michel (author)
التنسيق: article
منشور في: 2015
الوصول للمادة أونلاين:http://hdl.handle.net/10725/3098
http://dx.doi.org/10.2514/1.J054018
http://arc.aiaa.org/doi/abs/10.2514/1.J054018
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author Elkhoury, Michel
author_facet Elkhoury, Michel
author_role author
dc.creator.none.fl_str_mv Elkhoury, Michel
dc.date.none.fl_str_mv 2015
2016-02-17T08:37:26Z
2016-02-17T08:37:26Z
2016-02-17
dc.identifier.none.fl_str_mv 0001-1452
http://hdl.handle.net/10725/3098
http://dx.doi.org/10.2514/1.J054018
Elkhoury, M. (2015). Partially Lagging One-Equation Turbulence Model. AIAA Journal, 53(12), 3661-3673.
http://arc.aiaa.org/doi/abs/10.2514/1.J054018
dc.language.none.fl_str_mv en
dc.relation.none.fl_str_mv AIAA Journal
dc.rights.*.fl_str_mv info:eu-repo/semantics/openAccess
dc.title.none.fl_str_mv Partially Lagging One-Equation Turbulence Model
dc.type.none.fl_str_mv Article
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description A partially lagging one-equation eddy viscosity model, based on the transformation of the turbulence closure through Bradshaw et al. (“Calculation of Boundary Layer Development Using the Turbulent Energy Equation,” Journal of Fluid Mechanics, Vol. 23, No. 3, 1967, pp. 593–616), is proposed. The model attempts to account for the turbulence history effects by spatially lagging the destruction/diffusion terms. The amount of relaxation is based on the von Kármán length scale. The present model does not assume equal diffusion coefficients of the [Math Processing Error] and [Math Processing Error] equations; therefore, third-order velocity gradients emerge. The performance of the present model is assessed against the Spalart–Allmaras model (“A One-Equation Turbulence Model for Aerodynamic Flows,” AIAA Paper 1992-0439, 1992) and the one-equation model proposed by Menter (“Eddy Viscosity Transport Equations and Their Relation to the [Math Processing Error] Model,” Journal of Fluids Engineering, Vol. 119, 1997, pp. 876–884), which is based on Bradshaw et al. (“Calculation of Boundary Layer Development Using the Turbulent Energy Equation,” Journal of Fluid Mechanics, Vol. 23, No. 3, 1967, pp. 593–616), and the assumption of equal diffusion coefficients. The behavior of the one-equation transformed model without the presence of third-order velocity gradients is also examined. The proposed model is validated through a comparison to a wide class of internal and external turbulent flows.
eu_rights_str_mv openAccess
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identifier_str_mv 0001-1452
Elkhoury, M. (2015). Partially Lagging One-Equation Turbulence Model. AIAA Journal, 53(12), 3661-3673.
language_invalid_str_mv en
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network_name_str Lebanese American University repository
oai_identifier_str oai:laur.lau.edu.lb:10725/3098
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spelling Partially Lagging One-Equation Turbulence ModelElkhoury, MichelA partially lagging one-equation eddy viscosity model, based on the transformation of the turbulence closure through Bradshaw et al. (“Calculation of Boundary Layer Development Using the Turbulent Energy Equation,” Journal of Fluid Mechanics, Vol. 23, No. 3, 1967, pp. 593–616), is proposed. The model attempts to account for the turbulence history effects by spatially lagging the destruction/diffusion terms. The amount of relaxation is based on the von Kármán length scale. The present model does not assume equal diffusion coefficients of the [Math Processing Error] and [Math Processing Error] equations; therefore, third-order velocity gradients emerge. The performance of the present model is assessed against the Spalart–Allmaras model (“A One-Equation Turbulence Model for Aerodynamic Flows,” AIAA Paper 1992-0439, 1992) and the one-equation model proposed by Menter (“Eddy Viscosity Transport Equations and Their Relation to the [Math Processing Error] Model,” Journal of Fluids Engineering, Vol. 119, 1997, pp. 876–884), which is based on Bradshaw et al. (“Calculation of Boundary Layer Development Using the Turbulent Energy Equation,” Journal of Fluid Mechanics, Vol. 23, No. 3, 1967, pp. 593–616), and the assumption of equal diffusion coefficients. The behavior of the one-equation transformed model without the presence of third-order velocity gradients is also examined. The proposed model is validated through a comparison to a wide class of internal and external turbulent flows.PublishedN/A2016-02-17T08:37:26Z2016-02-17T08:37:26Z20152016-02-17Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0001-1452http://hdl.handle.net/10725/3098http://dx.doi.org/10.2514/1.J054018Elkhoury, M. (2015). Partially Lagging One-Equation Turbulence Model. AIAA Journal, 53(12), 3661-3673.http://arc.aiaa.org/doi/abs/10.2514/1.J054018enAIAA Journalinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/30982019-02-01T13:29:52Z
spellingShingle Partially Lagging One-Equation Turbulence Model
Elkhoury, Michel
status_str publishedVersion
title Partially Lagging One-Equation Turbulence Model
title_full Partially Lagging One-Equation Turbulence Model
title_fullStr Partially Lagging One-Equation Turbulence Model
title_full_unstemmed Partially Lagging One-Equation Turbulence Model
title_short Partially Lagging One-Equation Turbulence Model
title_sort Partially Lagging One-Equation Turbulence Model
url http://hdl.handle.net/10725/3098
http://dx.doi.org/10.2514/1.J054018
http://arc.aiaa.org/doi/abs/10.2514/1.J054018