Recent progress in the development of the Elliptic Blending Reynolds-stress model
TLDR
The Elliptic Blending Reynolds Stress Model (EB-RSM) has been subject to various modifications by several authors during the last decade, mainly for numerical robustness reasons as discussed by the authors.About:
This article is published in International Journal of Heat and Fluid Flow.The article was published on 2015-02-01 and is currently open access. It has received 67 citations till now. The article focuses on the topics: Reynolds stress equation model & K-epsilon turbulence model.read more
Figures
Table 1: Wall boundary conditions for the components of the tensor Fij = φ ∗ ij/λ, for λ = k and λ = kε. A w index or exponent denotes a value at the wall. 
Figure 4: (a) Channel flow at Reτ = 590. Comparison of the blending function fφ evaluated a priori using DNS data (Moser et al., 1999) and obtained by solving the elliptic equation for α (with L and k from the DNS database). (b) Rotating channel flow at Re = 7000 and Ro = 1/6. Comparison of the mean velocity profiles given by the highly-resolved LES of Lamballais et al. (1998) and by the original formulation of the EB-RSM (Manceau and Hanjalić, 2002). 
Figure 17: Channel with sudden expansion. Mean streamwise velocity profiles. (a) Non-rotating case; (b) Rotating case. 
Figure 19: Channel with sudden expansion. Shear stress (uv) profiles. (a) Non-rotating case; (b) Rotating case. 
Figure 18: Channel with sudden expansion. Turbulent kinetic energy profiles. (a) Non-rotating case; (b) Rotating case. 
Figure 12: Budgets at Reτ = 180 of: (a,e) u2; (b,f) v2; (c,g) w2 and (d,h) −uv. (a,b,c,d) non-rotating case; (e,f,g,h) case Ro = 0.98. Comparison with the DNS data of Mansour et al. (1988) (non-rotating case) and Grundestam et al. (2008) (rotating case). Pij = production; φ∗ij = velocity–pressure gradient correlation; εij = dissipation; Gij = Coriolis redistribution; Dij = diffusion (molecular+turbulent). Data are in wall units, based on the anticyclonic friction velocity, and y+ = 0 corresponds to the anticyclonic wall. For the sake of clarity, zero terms are not plotted (P22, P33 and G33) and the budget of −uv is plotted rather than that of uv, such that terms located on the upper half of the plots represent a gain (plotted terms are thus −P12, −φ∗12, ε12, −G12 and −D12).
Citations
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Journal ArticleDOI
Some Recent Developments in Turbulence Closure Modeling
TL;DR: A review of recent developments in elliptic relaxation and elliptic blending models, unified rotation and curvature corrections, transition prediction, hybrid simulation, and data-driven methods can be found in this paper.
Proceedings ArticleDOI
development of an elliptic-blending lag model for industrial applications
Sylvain Lardeau,Flavien Billard +1 more
Journal ArticleDOI
Dynamic unified RANS-LES simulations of high Reynolds number separated flows
TL;DR: A new, theoretically well based, dynamic hybrid RANS-LES method, referred to as DLUM, is presented, which is applied to a high Reynolds number flow involving both attached and separated flow regimes and is shown to be much more accurate than RANS, and more accurately than LES,which is not fully resolved.
Journal ArticleDOI
Application of eddy-viscosity turbulence models to problems in ship hydrodynamics
TL;DR: In this paper, the authors propose a turbulence model to solve the problem of the selection of the best turbulence model for a given problem in all fields of engineering, including computational methods.
Journal ArticleDOI
Toward an equivalence criterion for Hybrid RANS/LES methods
TL;DR: In this article, a criterion is established to assess the equivalence between hybrid RANS/LES methods, called H-equivalence, based on the modeled energy of the unresolved scales, which leads to similar low-order statistics of the resolved motion.
References
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Direct numerical simulation of turbulent channel flow up to Reτ=590
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