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dc.provenanceFacultad de Ciencias Exactas y Naturales de la UBA-
dc.contributorGraham, J.P.-
dc.contributorHolm, D.D.-
dc.contributor<div class="autor_fcen" id="5788">Mininni, P.D.</div>-
dc.contributorPouquet, A.-
dc.creatorGraham, J.P.-
dc.creatorHolm, D.D.-
dc.creator<div class="autor_fcen" id="5788">Mininni, P.D.</div>-
dc.creatorPouquet, A.-
dc.date.accessioned2018-05-04T22:05:23Z-
dc.date.accessioned2018-05-28T15:48:40Z-
dc.date.available2018-05-04T22:05:23Z-
dc.date.available2018-05-28T15:48:40Z-
dc.date.issued2008-
dc.identifier.urihttp://10.0.0.11:8080/jspui/handle/bnmm/68538-
dc.descriptionWe determine how the differences in the treatment of the subfilter-scale physics affect the properties of the flow for three closely related regularizations of Navier-Stokes. The consequences on the applicability of the regularizations as subgrid-scale (SGS) models are also shown by examining their effects on superfilter-scale properties. Numerical solutions of the Clark-α model are compared to two previously employed regularizations, the Lagrangian-averaged Navier-Stokes α-model (LANS-α) and Leray-α, albeit at significantly higher Reynolds number than previous studies, namely, Re≈3300, Taylor Reynolds number of Re≈790, and to a direct numerical simulation (DNS) of the Navier-Stokes equations. We derive the de Kármán-Howarth equation for both the Clark-α and Leray-α models. We confirm one of two possible scalings resulting from this equation for Clark-α as well as its associated k-1 energy spectrum. At subfilter scales, Clark-α possesses similar total dissipation and characteristic time to reach a statistical turbulent steady state as Navier-Stokes, but exhibits greater intermittency. As a SGS model, Clark-α reproduces the large-scale energy spectrum and intermittency properties of the DNS. For the Leray-α model, increasing the filter width α decreases the nonlinearity and, hence, the effective Reynolds number is substantially decreased. Therefore, even for the smallest value of α studied Leray-α was inadequate as a SGS model. The LANS-α energy spectrum ∼k1, consistent with its so-called "rigid bodies," precludes a reproduction of the large-scale energy spectrum of the DNS at high Re while achieving a large reduction in numerical resolution. We find, however, that this same feature reduces its intermittency compared to Clark-α (which shares a similar de Kármán-Howarth equation). Clark-α is found to be the best approximation for reproducing the total dissipation rate and the energy spectrum at scales larger than α, whereas high-order intermittency properties for larger values of α are best reproduced by LANS-α. © 2008 American Institute of Physics.-
dc.descriptionFil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.-
dc.formatapplication/pdf-
dc.languageeng-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttp://creativecommons.org/licenses/by/2.5/ar-
dc.sourcePhys. Fluids 2008;20(3)-
dc.source.urihttp://digital.bl.fcen.uba.ar/Download/paper/paper_10706631_v20_n3_p_Graham.pdf-
dc.subjectApproximation theory-
dc.subjectDirect numerical simulation-
dc.subjectMathematical models-
dc.subjectNavier Stokes equations-
dc.subjectReynolds number-
dc.subjectEnergy spectrum-
dc.subjectSubfilter-scale physics-
dc.subjectSubgrid-scale (SGS) models-
dc.subjectFlow of fluids-
dc.subjectApproximation theory-
dc.subjectDirect numerical simulation-
dc.subjectFlow of fluids-
dc.subjectMathematical models-
dc.subjectNavier Stokes equations-
dc.subjectReynolds number-
dc.titleThree regularization models of the Navier-Stokes equations-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:ar-repo/semantics/artículo-
dc.typeinfo:eu-repo/semantics/publishedVersion-
Aparece en las colecciones: FCEN - Facultad de Ciencias Exactas y Naturales. UBA

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