A Priori Assessment of Subgrid-Scale Models and Numerical Error in Forced Convective Flow at High Prandtl Numbers

作者: Lorenzo Sufrà , Helfried Steiner

DOI: 10.1007/S10494-019-00107-Y

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摘要: The accurate modelling of the subgrid-scale (sgs) fluxes momentum and heat near heated/cooled walls still represents a challenging task in Large-Eddy Simulations (LES). This is specially case at molecular Prandtl numbers (Pr) well beyond unity, where relevant length scales smallest turbulent thermal structures locally differ significantly from their dynamical counterparts. disparity strongly conflicts with Reynolds analogy between transport heat, which inherently assumed by most sgs models for flux. present study carries out an extensive priori analysis on data fully resolved Direct Numerical Simulation (DNS) fields developed heated pipe flow high \(Pr=10/20\), considering three popular candidates closure. Aside assessing models’ capabilities to describe quantitatively unresolved fluxes, special focus also put role numerical error, arises discretization filtered advective coarse LES grid. extends here previous studies isothermal mixing layer channel carried [1] [6], respectively, numbers. statistical dependence individual contributions (resolved, subgrid-scale, error) constituting flux terms formulation investigated corresponding cross-correlations, as well.

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