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Penn State University

1. Salesky, Scott Thomas. Similarity Models of Subfilter-Scale Energy and Temperature Variance for Large Eddy Simulations of the Atmospheric Boundary Layer.

Degree: MS, Meteorology, 2010, Penn State University

Knowledge of the subfilter-scale (SFS) energy is instrumental for several reasons in Large Eddy Simulations (LES) of the atmospheric boundary layer (ABL). The SFS energy must be known to recover the true pressure field from the modified pressure used in simulations and may be used to form an eddy viscosity to model the SFS stress tensor. The SFS energy also must be known in LES of compressible flow to close the set of governing equations. The one-equation model, which determines the SFS energy through the numerical solution of its rate equation, is frequently used in LES. Although this approach is common, it has a high computational cost and requires closure assumptions. Several alternative models for the SFS energy have been proposed, including models formed by dimensional analysis, others that assume a spectral shape which is integrated to obtain the SFS energy, and others that are based on the hypothesis of scale similarity. Many of these models are strictly global, however, meaning that they can only predict the average SFS energy. A local model is proposed for the SFS energy in LES of the ABL that is based on the scale similarity between the SFS energy and the trace of the Leonard stress tensor. The SFS energy model is derived from a stability-dependent atmospheric model of the energy spectrum that incorporates the effects of buoyancy and shear and therefore can account for the shape of the energy spectrum at low wavenumbers. Furthermore, this approach has a lower computational cost than the one-equation model, since the Leonard stress can be calculated easily in simulations. Results from an a priori test using data from the Horizontal Array Turbulence Study (HATS) demonstrate that the model performs well in both a global and a local sense. The model is able to correctly predict the average SFS energy for most stabilities and dimensionless filter widths considered, and does so more accurately than a similar model that assumes an infinite -5/3 energy spectrum. The model also performs well in a local sense, producing a probability distribution function (PDF) similar to that of the actual SFS energy. This procedure is also extended to develop a model for the SFS temperature variance.

Subjects/Keywords: SFS modeling; turbulence; atmospheric boundary layer; large eddy simulation; SFS energy

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Salesky, S. T. (2010). Similarity Models of Subfilter-Scale Energy and Temperature Variance for Large Eddy Simulations of the Atmospheric Boundary Layer. (Masters Thesis). Penn State University. Retrieved from https://etda.libraries.psu.edu/catalog/10770

Chicago Manual of Style (16th Edition):

Salesky, Scott Thomas. “Similarity Models of Subfilter-Scale Energy and Temperature Variance for Large Eddy Simulations of the Atmospheric Boundary Layer.” 2010. Masters Thesis, Penn State University. Accessed October 14, 2019. https://etda.libraries.psu.edu/catalog/10770.

MLA Handbook (7th Edition):

Salesky, Scott Thomas. “Similarity Models of Subfilter-Scale Energy and Temperature Variance for Large Eddy Simulations of the Atmospheric Boundary Layer.” 2010. Web. 14 Oct 2019.

Vancouver:

Salesky ST. Similarity Models of Subfilter-Scale Energy and Temperature Variance for Large Eddy Simulations of the Atmospheric Boundary Layer. [Internet] [Masters thesis]. Penn State University; 2010. [cited 2019 Oct 14]. Available from: https://etda.libraries.psu.edu/catalog/10770.

Council of Science Editors:

Salesky ST. Similarity Models of Subfilter-Scale Energy and Temperature Variance for Large Eddy Simulations of the Atmospheric Boundary Layer. [Masters Thesis]. Penn State University; 2010. Available from: https://etda.libraries.psu.edu/catalog/10770

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