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Clemson University

1. Bowers, Abigail. Increased Accuracy and Efficiency in Finite Element Computations of the Leray-Deconvolution Model of Turbulence.

Degree: MS, Mathematical Science, 2010, Clemson University

This thesis develops, analyzes and tests a finite element method for approximating solutions to the Leray–deconvolution regularization of the Navier–Stokes equations. The scheme combines three ideas in order to create an accurate and effective algorithm: the use of an incompressible filter, a linearization that decouples the velocity–pressure system from the filtering and deconvolution operations, and a stabilization that works well with the linearization. A rigorous and complete numerical analysis of the scheme is given, and numerical experiments are presented that show clear advantages of the scheme. Advisors/Committee Members: Rebholz, Leo G, Cox , Christopher L, Jenkins , Eleanor W.

Subjects/Keywords: deconvolution; leray-alpha model; leray-deconvolution model; turbulence; Applied Mathematics

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

APA (6th Edition):

Bowers, A. (2010). Increased Accuracy and Efficiency in Finite Element Computations of the Leray-Deconvolution Model of Turbulence. (Masters Thesis). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_theses/825

Chicago Manual of Style (16th Edition):

Bowers, Abigail. “Increased Accuracy and Efficiency in Finite Element Computations of the Leray-Deconvolution Model of Turbulence.” 2010. Masters Thesis, Clemson University. Accessed October 22, 2019. https://tigerprints.clemson.edu/all_theses/825.

MLA Handbook (7th Edition):

Bowers, Abigail. “Increased Accuracy and Efficiency in Finite Element Computations of the Leray-Deconvolution Model of Turbulence.” 2010. Web. 22 Oct 2019.

Vancouver:

Bowers A. Increased Accuracy and Efficiency in Finite Element Computations of the Leray-Deconvolution Model of Turbulence. [Internet] [Masters thesis]. Clemson University; 2010. [cited 2019 Oct 22]. Available from: https://tigerprints.clemson.edu/all_theses/825.

Council of Science Editors:

Bowers A. Increased Accuracy and Efficiency in Finite Element Computations of the Leray-Deconvolution Model of Turbulence. [Masters Thesis]. Clemson University; 2010. Available from: https://tigerprints.clemson.edu/all_theses/825

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