Date of Award
5-2010
Document Type
Thesis
Degree Name
Master of Science (MS)
Legacy Department
Mathematical Science
Committee Chair/Advisor
Rebholz, Leo G
Committee Member
Cox , Christopher L
Committee Member
Jenkins , Eleanor W
Abstract
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.
Recommended Citation
Bowers, Abigail, "Increased Accuracy and Efficiency in Finite Element Computations of the Leray-Deconvolution Model of Turbulence" (2010). All Theses. 825.
https://open.clemson.edu/all_theses/825