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Journal ArticleDOI

A proposed modification of the Germano subgrid‐scale closure method

D. K. Lilly
- 01 Mar 1992 - 
- Vol. 4, Iss: 3, pp 633-635
TLDR
In this paper, the subgrid-scale closure method developed by Germano et al. is modified by use of a least squares technique to minimize the difference between the closure assumption and the resolved stresses.
Abstract
The subgrid‐scale closure method developed by Germano et al. is modified by use of a least squares technique to minimize the difference between the closure assumption and the resolved stresses. This modification removes a source of singularity and is believed to improve the method’s applicability.

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Citations
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Book ChapterDOI

Subgrid-Scale Modeling

TL;DR: In this paper, the authors used the ensemble-mean procedure and divided a flow quantity into the large-scale part (mean field) and the fluctuation around it, and then they used the mean field to represent the energy of fluctuation.
Journal ArticleDOI

Reduction of the Germano-identity error in the dynamic Smagorinsky model

TL;DR: In this article, a correction step to the conventional dynamic Smagorinsky model is proposed to obtain a corrected eddy viscosity which further reduces the error in the mean and global sense, and the change in resolved velocity due to the coefficient variation as well as nonlocal nature of the filter and flow unsteadiness is accounted for by a simplified suboptimal control formalism without resorting to the adjoint equations.
Journal ArticleDOI

Large-eddy simulation of an impinging jet in a cross-flow on a heated wall-mounted cube

TL;DR: In this paper, a large-eddy simulation (LES) is performed to predict the mean velocity field, the turbulence characteristics and the heat transfer rate of an impinging jet in cross-flow configuration on a heated wall-mounted cube.
Journal ArticleDOI

Large-eddy simulation and Lagrangian stochastic modeling of passive scalar dispersion in a turbulent boundary layer

TL;DR: In this article, a large-eddy simulation with the dynamic Smagorinsky-Germano subgrid scale (SGS) model is used to study the passive scalar dispersion in a turbulent boundary layer.
References
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Journal ArticleDOI

General circulation experiments with the primitive equations

TL;DR: In this article, an extended period numerical integration of a baroclinic primitive equation model has been made for the simulation and the study of the dynamics of the atmosphere's general circulation, and the solution corresponding to external gravitational propagation is filtered by requiring the vertically integrated divergence to vanish identically.
Journal ArticleDOI

A dynamic subgrid‐scale eddy viscosity model

TL;DR: In this article, a new eddy viscosity model is presented which alleviates many of the drawbacks of the existing subgrid-scale stress models, such as the inability to represent correctly with a single universal constant different turbulent fields in rotating or sheared flows, near solid walls, or in transitional regimes.
Journal ArticleDOI

A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers

TL;DR: In this article, the three-dimensional, primitive equations of motion have been integrated numerically in time for the case of turbulent, plane Poiseuille flow at very large Reynolds numbers.
Journal ArticleDOI

A dynamic subgrid‐scale model for compressible turbulence and scalar transport

TL;DR: Germano et al. as discussed by the authors generalized the dynamic subgrid-scale (SGS) model for the large eddy simulation (LES) of compressible flows and transport of a scalar.

On the application of the eddy viscosity concept in the Inertial sub-range of turbulence

K. Lilly
TL;DR: In this paper, it was shown that an eddy diffusion hypothesis for use in numerical solutions of turbulent flow problems is consistent with the existence of an inertial subrange at the smallest resolvable scale of the numerical model.