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Article: Frame-indifferent and positive-definite Reynolds stress–strain relation

TitleFrame-indifferent and positive-definite Reynolds stress–strain relation
Authors
KeywordsEngineering
Hydraulic engineering physics
Issue Date1997
PublisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM
Citation
Journal of Fluid Mechanics, 1997, v. 352, p. 341-358 How to Cite?
AbstractBoth necessary and sufficient conditions are derived in a systematic, rigorous way for a Reynolds stress model to preserve both frame indifference and positive semi-definiteness of the Reynolds stresses and to satisfy the principle of material frame indifference (PMFI). Also developed are two approximate theories, a linear theory and a quadratic theory, to simplify the work of developing models satisfying such conditions. The results are also valid for the higher-order correlations and the SGS Reynolds stresses. This leads to the results either confirming the previous intuitive arguments or offering new insights into turbulence modelling, and is of significance in clarifying some controversies in the literature, examining how well existing models preserve the physics, and developing new models. An examination of various existing models with respect to the necessary and sufficient conditions obtained in the present work shows that no one model can simultaneously satisfy the invariance, the realizability and the PMFI. This offers answers to some fundamental questions regarding the existing models, such as the reason why k[minus sign][epsilon] and k[minus sign]l models fail to give accurate predictions for the normal Reynolds stresses.
Persistent Identifierhttp://hdl.handle.net/10722/42405
ISSN
2015 Impact Factor: 2.514
2015 SCImago Journal Rankings: 1.450

 

DC FieldValueLanguage
dc.contributor.authorWang, Len_HK
dc.date.accessioned2007-01-29T08:49:09Z-
dc.date.available2007-01-29T08:49:09Z-
dc.date.issued1997en_HK
dc.identifier.citationJournal of Fluid Mechanics, 1997, v. 352, p. 341-358en_HK
dc.identifier.issn0022-1120en_HK
dc.identifier.urihttp://hdl.handle.net/10722/42405-
dc.description.abstractBoth necessary and sufficient conditions are derived in a systematic, rigorous way for a Reynolds stress model to preserve both frame indifference and positive semi-definiteness of the Reynolds stresses and to satisfy the principle of material frame indifference (PMFI). Also developed are two approximate theories, a linear theory and a quadratic theory, to simplify the work of developing models satisfying such conditions. The results are also valid for the higher-order correlations and the SGS Reynolds stresses. This leads to the results either confirming the previous intuitive arguments or offering new insights into turbulence modelling, and is of significance in clarifying some controversies in the literature, examining how well existing models preserve the physics, and developing new models. An examination of various existing models with respect to the necessary and sufficient conditions obtained in the present work shows that no one model can simultaneously satisfy the invariance, the realizability and the PMFI. This offers answers to some fundamental questions regarding the existing models, such as the reason why k[minus sign][epsilon] and k[minus sign]l models fail to give accurate predictions for the normal Reynolds stresses.en_HK
dc.format.extent229184 bytes-
dc.format.extent25600 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLMen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsJournal of Fluid Mechanics. Copyright © Cambridge University Press.en_HK
dc.subjectEngineeringen_HK
dc.subjectHydraulic engineering physicsen_HK
dc.titleFrame-indifferent and positive-definite Reynolds stress–strain relationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-1120&volume=352&spage=341&epage=358&date=1997&atitle=Frame-indifferent+and+positive-definite+Reynolds+stress–strain+relationen_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.scopuseid_2-s2.0-0031336988-

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