Germano identity-based subgrid-scale modeling: A brief survey of variations on a fertile theme

Meneveau, Charles

doi:10.1063/1.4772062

Cited by 24 publications

(14 citation statements)

References 52 publications

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“…Such couplings across scales are clearer in shear flows than they are in homogeneous isotropic turbulence [75], and suggest corrections to standard modelling methods for such flows. For example, while classical test filtering in the sense of Germano [35] (see Meneveau [76] for a recent review) permits the Smagorinsky coefficient in the subfilter-scales of a LES to vary dynamically, velocity-intermittency coupling implies refined perspectives on the relation between production and dissipation [77,78], and an alternative approach to closure development.…”

Section: Discussionmentioning

confidence: 99%

Large eddy simulation of the velocity-intermittency structure for flow over a field of symmetric dunes

2016

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Owing to their frequent occurrence in the natural environment, there has been significant interest in refining our understanding of flow over dunes and other bedforms. Recent work in this area has focused, in particular, on their shear layer characteristics and the manner by which flow structures are generated. However, field-based studies, are reliant on single-, or multi-point measurements, rather than delimiting flow structures from the velocity gradient tensor as is possible in numerical work. Here, we extract pointwise time series from a well-resolved large-eddy simulation as a means to connect these two approaches. The at-a-point analysis technique is termed the velocityintermittency quadrant method and relates the fluctuating, longitudinal velocity, u ′ 1 (t), to its fluctuating pointwise Hölder regularity, α ′ 1 (t).Despite the difference in boundary conditions, our results agree very well with previous experiments that show the importance, in the region above the dunes, of a quadrant 3 (uflow configuration. Our higher density of sampling beneath the shear layer and close to the bedforms relative to past experimental work reveals a negative correlation between u ′ 1 (t) and α

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Section: Discussionmentioning

confidence: 99%

Large eddy simulation of the velocity-intermittency structure for flow over a field of symmetric dunes

2016

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“…The difference between these two is the contribution of the sub-grid scales [38]. One may try to write the difference in additive form i.e., N (ϕ) = N (ϕ) + M F , where the "model" M F can be of any type and the subscript F is used to remark that the model is defined at the F filter level, (.…”

Section: Dynamic Finite-rate Scale Similarity Sgs Combustion Modelsmentioning

confidence: 99%

“…If one filters the nonlinear operator using the test filter, the operator at the F G level is derived, i. [38]. The identity can be used to evaluate the coefficients in the "model" part of the filtered operator.…”

Section: Dynamic Finite-rate Scale Similarity Sgs Combustion Modelsmentioning

confidence: 99%

New Dynamic Scale Similarity Based Finite-Rate Combustion Models for LES and a priori DNS Assessment in Non-premixed Jet Flames with High Level of Local Extinction

Shamooni

Cuoci

Faravelli

et al. 2019

Flow Turbulence Combust

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In this work, the performances of two recently developed finite-rate dynamic scale similarity (SS) sub-grid scale (SGS) combustion models (named DB and DC) for non-premixed turbulent combustion are a priori assessed based on three Direct Numerical Simulation (DNS) databases. These numerical experiments feature temporally evolving syngas jet flames with different Reynolds (Re) numbers (2510, 4487 and 9079), experiencing a high level of local extinction. For comparison purposes, the predicting capability of these models is compared with three classical non-dynamic SS models, namely the scale similarity resolved reaction rate model (SSRRRM or A), the scale similarity filtered reaction rate model (SSFRRM or B), and a SS model derived by the "test filtering" approach (C), as well as an existing dynamic version of SSRRRM (DA). Improvements in the prediction of heat release rates using a new dynamic model DC are observed in high Re flame case. By decreasing Re, dynamic procedures produce results roughly similar to their non-dynamic counterparts. In the lowest Re, the dynamic methods lead to higher errors. Keywords Dynamic scale similarity combustion model • Finite-rate SGS combustion model • A priori DNS analysis • LES • Non-premixed jet flame • Extinction re-ignition Electronic supplementary material The online version of this article (

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“…As recalled in the abstract, the first application of the dynamic modelling approach was presented thirty years ago at the Summer Meeting of the CTR [11], and since then a lot of different applications flourished thanks to the interest of many researchers around the world. We refer both to the cited Reference [12] and to Reference [13] for more details on that.…”

Section: Introductionmentioning

confidence: 99%

Analysis and Modelling of the Commutation Error

Klein

Germano

2020

Fluids

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A multiscale dynamic analysis of the commutation error, based on the filtering approach is performed. The similarity multiscale hypothesis proposed by Bardina (1983) and extended by Geurts and Holm (2006) to the commutation error is examined in detail and an extension of the Germano identity to the analysis and the modelling of the commutation error is proposed. For a detailed analysis under controlled condition the method is first applied to synthetic turbulence and subsequently to the a-priori analysis of a turbulent channel flow at Reτ=590. The results illustrate the flexibility of the dynamic modelling approach. Combined with a scale similarity assumption for the commutation error very satisfactory results have been obtained for first order derivatives and reasonable results for second order derivatives. In all cases the modelling of the commutation error resulted in smaller errors than the error obtained by neglecting the commutation error.

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Germano identity-based subgrid-scale modeling: A brief survey of variations on a fertile theme

Cited by 24 publications

References 52 publications

Large eddy simulation of the velocity-intermittency structure for flow over a field of symmetric dunes

Large eddy simulation of the velocity-intermittency structure for flow over a field of symmetric dunes

New Dynamic Scale Similarity Based Finite-Rate Combustion Models for LES and a priori DNS Assessment in Non-premixed Jet Flames with High Level of Local Extinction

Analysis and Modelling of the Commutation Error

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