A generalization of Yaglom's equation which accounts for the large-scale forcing in heated decaying turbulence
Identifieur interne : 00D882 ( Main/Merge ); précédent : 00D881; suivant : 00D883A generalization of Yaglom's equation which accounts for the large-scale forcing in heated decaying turbulence
Auteurs : L. Danaila [France] ; F. Anselmet [France] ; T. Zhou [Australie] ; R. A. Antonia [Australie]Source :
- Journal of Fluid Mechanics [ 0022-1120 ] ; 1999.
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Abstract
In most real or numerically simulated turbulent flows, the energy dissipated at small scales is equal to that injected at very large scales, which are anisotropic. Despite this injection-scale anisotropy, one generally expects the inertial-range scales to be locally isotropic. For moderate Reynolds numbers, the isotropic relations between second-order and third-order moments for temperature (Yaglom's equation) or velocity increments (Kolmogorov's equation) are not respected, reflecting a non-negligible correlation between the scales responsible for the injection, the transfer and the dissipation of energy. In order to shed some light on the influence of the large scales on inertial-range properties, a generalization of Yaglom's equation is deduced and tested, in heated grid turbulence (Rλ = 66). In this case, the main phenomenon responsible for the non-universal inertial-range behaviour is the non-stationarity of the second-order moments, acting as a negative production term
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Anselmet</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>IRPHE, 12 Avenue Général Leclerc</s1><s2>13003 Marseille</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>France</country><wicri:noRegion>13003 Marseille</wicri:noRegion><placeName><settlement type="city">Marseille</settlement><region type="région" nuts="2">Provence-Alpes-Côte d'Azur</region></placeName></affiliation></author><author><name sortKey="Zhou, T" sort="Zhou, T" uniqKey="Zhou T" first="T." last="Zhou">T. Zhou</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Department of Mechanical Engineering, University of Newcastle</s1><s2>NSW, 2308</s2><s3>AUS</s3><sZ>3 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>NSW, 2308</wicri:noRegion></affiliation></author><author><name sortKey="Antonia, R A" sort="Antonia, R A" uniqKey="Antonia R" first="R. A." last="Antonia">R. A. Antonia</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Department of Mechanical Engineering, University of Newcastle</s1><s2>NSW, 2308</s2><s3>AUS</s3><sZ>3 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>NSW, 2308</wicri:noRegion></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">INIST</idno><idno type="inist">99-0367961</idno><date when="1999">1999</date><idno type="stanalyst">PASCAL 99-0367961 INIST</idno><idno type="RBID">Pascal:99-0367961</idno><idno type="wicri:Area/PascalFrancis/Corpus">006310</idno><idno type="wicri:Area/PascalFrancis/Curation">006D44</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">006169</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">006169</idno><idno type="wicri:doubleKey">0022-1120:1999:Danaila L:a:generalization:of</idno><idno type="wicri:Area/Main/Merge">00D882</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">A generalization of Yaglom's equation which accounts for the large-scale forcing in heated decaying turbulence</title><author><name sortKey="Danaila, L" sort="Danaila, L" uniqKey="Danaila L" first="L." last="Danaila">L. Danaila</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>IRPHE, 12 Avenue Général Leclerc</s1><s2>13003 Marseille</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Provence-Alpes-Côte d'Azur</region><settlement type="city">Marseille</settlement></placeName></affiliation></author><author><name sortKey="Anselmet, F" sort="Anselmet, F" uniqKey="Anselmet F" first="F." last="Anselmet">F. Anselmet</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>IRPHE, 12 Avenue Général Leclerc</s1><s2>13003 Marseille</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Provence-Alpes-Côte d'Azur</region><settlement type="city">Marseille</settlement></placeName></affiliation></author><author><name sortKey="Zhou, T" sort="Zhou, T" uniqKey="Zhou T" first="T." last="Zhou">T. Zhou</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Department of Mechanical Engineering, University of Newcastle</s1><s2>NSW, 2308</s2><s3>AUS</s3><sZ>3 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>NSW, 2308</wicri:noRegion></affiliation></author><author><name sortKey="Antonia, R A" sort="Antonia, R A" uniqKey="Antonia R" first="R. A." last="Antonia">R. A. Antonia</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Department of Mechanical Engineering, University of Newcastle</s1><s2>NSW, 2308</s2><s3>AUS</s3><sZ>3 aut.</sZ><sZ>4 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>NSW, 2308</wicri:noRegion></affiliation></author></analytic><series><title level="j" type="main">Journal of Fluid Mechanics</title><title level="j" type="abbreviated">J. Fluid Mech.</title><idno type="ISSN">0022-1120</idno><imprint><date when="1999">1999</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Journal of Fluid Mechanics</title><title level="j" type="abbreviated">J. Fluid Mech.</title><idno type="ISSN">0022-1120</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Decay</term><term>Digital simulation</term><term>Experimental study</term><term>Forcing</term><term>Grid generated turbulence</term><term>Homogeneous turbulence</term><term>Isotropic turbulence</term><term>Large scale</term><term>Turbulent flow</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Turbulence grille</term><term>Déclin</term><term>Echelle grande</term><term>Forçage</term><term>Ecoulement turbulent</term><term>Turbulence isotrope</term><term>Etude expérimentale</term><term>Simulation numérique</term><term>Turbulence homogène</term><term>4727G</term><term>4727E</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In most real or numerically simulated turbulent flows, the energy dissipated at small scales is equal to that injected at very large scales, which are anisotropic. Despite this injection-scale anisotropy, one generally expects the inertial-range scales to be locally isotropic. For moderate Reynolds numbers, the isotropic relations between second-order and third-order moments for temperature (Yaglom's equation) or velocity increments (Kolmogorov's equation) are not respected, reflecting a non-negligible correlation between the scales responsible for the injection, the transfer and the dissipation of energy. In order to shed some light on the influence of the large scales on inertial-range properties, a generalization of Yaglom's equation is deduced and tested, in heated grid turbulence (R<sub>λ</sub> = 66). In this case, the main phenomenon responsible for the non-universal inertial-range behaviour is the non-stationarity of the second-order moments, acting as a negative production term</div></front></TEI><affiliations><list><country><li>Australie</li><li>France</li></country><region><li>Provence-Alpes-Côte d'Azur</li></region><settlement><li>Marseille</li></settlement></list><tree><country name="France"><region name="Provence-Alpes-Côte d'Azur"><name sortKey="Danaila, L" sort="Danaila, L" uniqKey="Danaila L" first="L." last="Danaila">L. Danaila</name></region><name sortKey="Anselmet, F" sort="Anselmet, F" uniqKey="Anselmet F" first="F." last="Anselmet">F. Anselmet</name></country><country name="Australie"><noRegion><name sortKey="Zhou, T" sort="Zhou, T" uniqKey="Zhou T" first="T." last="Zhou">T. Zhou</name></noRegion><name sortKey="Antonia, R A" sort="Antonia, R A" uniqKey="Antonia R" first="R. A." last="Antonia">R. A. 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