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dc.contributor.authorTrias Miquel, Francesc Xavier
dc.contributor.authorDabbagh, Firas
dc.contributor.authorGorobets, Andrei
dc.contributor.authorOliet Casasayas, Carles
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Màquines i Motors Tèrmics
dc.identifier.citationTrias, F. X. [et al.]. On a Proper Tensor-Diffusivity Model for Large-Eddy Simulation of Buoyancy-Driven Turbulence. "Flow turbulence and combustion", 26 Març 2020, vol. 105, p. 393-414.
dc.description.abstractIn this work, we aim to shed light to the following research question: can we find a nonlinear tensorial subgrid-scale (SGS) heat flux model with good physical and numerical properties, such that we can obtain satisfactory predic- tions for buoyancy-driven turbulent flows? This is motivated by our findings showing that the classical (linear) eddy-diffusivity assumption, qeddy ¿ ¿T, fails to provide a reasonable approximation for the actual SGS heat flux, q = uT - uT: namely, a priori analysis for air-filled Rayleigh-Bénard convection (RBC) clearly shows a strong misalignment. In the quest for more accurate models, we firstly study and confirm the suitability of the eddy-viscosity assumption for RBC carrying out a posteriori tests for different models at very low Prandtl numbers (liquid sodium, Pr = 0.005) where no heat flux SGS activity is expected. Then, different (nonlinear) tensor-diffusivity SGS heat flux models are studied a priori using DNS data of air-filled (Pr = 0.7) RBC at Rayleigh numbers up to 1011. Apart from having good alignment trends with the actual SGS heat flux, we also restrict ourselves to models that are numerically stable per se and have the proper cubic near-wall behavior. This analysis leads to a new family of SGS heat flux models based on the symmetric positive semi-definite tensor GGT where G = ¿u, i.e. q ¿ GGT¿T, and the invariants of the GGT tensor
dc.description.sponsorshipF.X.T. and F.D. are supported by the Ministerio de Economía y Competitividad, Spain (ENE2017-88697-R). F.X.T. and C.O. are supported by the Generalitat de Catalunya RIS3CAT-FEDER, FusionCAT project (001-P-001722). F.X.T. was financially supported by a Ramón y Cajal post-doctoral contract (RYC-2012-11996). F.X.T. and A.G. are supported by the Research project 20-02-01 of the Department of the Moscow Center for Fundamental and Applied Mathematics at the Keldysh Insti-tute of Applied Mathematics of RAS. F.D. is supported by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development, and the K1MET center for metallurgical research in Austria ( Calculations have been performed on the MareNostrum 4 supercomputer at the BSC (PRACE 15th Call, Ref. 2016163972, “Exploring new fron-tiers in Rayleigh-Bénard convection”; and RES project FI-2019-1-0040 “Exploring nonlinear subgrid-scale heat flux models for buoyancy driven flows”). Preliminary simulations were carried out using computational resources of MCC NRC “Kurchatov Institute”, http://compu ting.nrcki .ru/. The authors thankfully acknowl-edge these institutions
dc.format.extent22 p.
dc.subjectÀrees temàtiques de la UPC::Física::Termodinàmica
dc.subject.otherSubgrid-scale models
dc.subject.otherBuoyancy-driven flows
dc.titleOn a Proper Tensor-Diffusivity Model for Large-Eddy Simulation of Buoyancy-Driven Turbulence
dc.subject.lemacRemolins (Mecànica de fluids)
dc.subject.lemacLínia de flotació
dc.contributor.groupUniversitat Politècnica de Catalunya. CTTC - Centre Tecnològic de la Transferència de Calor
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MICINN/2PE/ ENE2017-88697-R
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/ RYC-2012-11996
local.citation.authorTrias, F. X.; Dabbagh, F.; Gorobets, A.; Oliet, C.
local.citation.publicationNameFlow turbulence and combustion

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