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• W1563871404 abstract "One trend in large-eddy simulations (LES) involves the use of a transport equation for the subgrid-scale (SGS) kinetic energy. For problems involving active or passive scalar fields a SGS scalar variance transport equation is also used. The terms from these equations involve sub-filter scale quantities that are not accessible during LES and thus require modelling. By far the greatest challenge for modelling in these equations comes from the viscous and the molecular SGS dissipation terms that represent the final (dissipation) stages of the ‘energy cascade mechanism’ whereby the SGS kinetic energy and SGS scalar variance are dissipated through the action of the molecular viscosity and diffusivity, respectively. In this work direct numerical simulations (DNS) of statistically stationary (forced) homogeneous, isotropic turbulence are used to (i) analyse the topology and spatial localisation of the viscous and the molecular SGS dissipation terms, (ii) assess three models currently used for these terms and (iii) present some guidelines to improve or develop future models for these terms. The models analysed here are (a) the classical model used by e.g. Schumann [1 Schumann, U. 1975. Subgrid-scale model for finite difference simulations of turbulent flows on plane channels and annuli. J. Comput. Phys., 18: 376–404. [Crossref], [Web of Science ®] , [Google Scholar]] and Yoshizawa [2 Yoshizawa, A. 1982. A statistically-derived subgrid model for the large-eddy simulation of turbulence. Phys. Fluids, 25: 1532–1538. [Crossref], [Web of Science ®] , [Google Scholar]], (b) the model used in hybrid RANS/LES by Paterson and Peltier [3 Paterson, E. G. and Peltier, L. J. 2005. Detached-eddy simulation of high-reynolds-number beveled-trailling-edge boundary layers and wakes. J. Fluids Eng., 127: 897–906. [Crossref], [Web of Science ®] , [Google Scholar]], and by Hanjalic [4 Hanjalic, K. 2005. Will RANS survive LES? A view of perspectives. J. Fluids Eng., 127: 831–839. [Crossref], [Web of Science ®] , [Google Scholar]], and (c) the model for the molecular SGS dissipation of SGS scalar variance from Jiménez et al. [5 Jiménez, C. 2001. Subgrid scale variance and dissipation of a scalar field in large eddy simulations. Phys. Fluids, 13: 1748–1754. [Crossref], [Web of Science ®] , [Google Scholar]]. The classical models for the molecular SGS dissipation give very good results in terms of topology, spatial localisation (in the physical space), statistical behaviour and spectral characteristics. Moreover, the model constants approach asymptotically the theoretical values as the Reynolds number and filter sizes increase which supports the use of a constant value in engineering and geophysical applications, instead of using a dynamic procedure for their computation as in Ghosal et al. [6 Ghosal, S. 1995. A dynamic localisation model for large-eddy simulation of turbulent flows. J. Fluid Mech., 286: 229–255. [Crossref], [Web of Science ®] , [Google Scholar]]. For the molecular SGS dissipation of SGS scalar variance the model from Jiménez et al. [5 Jiménez, C. 2001. Subgrid scale variance and dissipation of a scalar field in large eddy simulations. Phys. Fluids, 13: 1748–1754. [Crossref], [Web of Science ®] , [Google Scholar]] performs even better than the classical model and should be the preferred model for this term when the Schmidt number is close to 1.0. Finally, all the tests showed that the models used in hybrid RANS/LES tested here give very poor results either in terms of their topological, statistical or spectral characteristics. The reason behind this is connected with the deficient spectral representation of the exact molecular SGS dissipation terms." @default.
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• W1563871404 date "2008-01-01" @default.
• W1563871404 modified "2023-10-14" @default.
• W1563871404 title "Analysis of the viscous/molecular subgrid-scale dissipation terms in LES based on transport equations:A prioritests" @default.
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• W1563871404 doi "https://doi.org/10.1080/14685240802251525" @default.
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