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
Lee , Hyesuk K
Committee Member
Ervin , Vincent J
Abstract
This paper studies two artificial viscosity methods for approximating solutions to the Navier&ndashStokes Equations. Both methods that are introduced add stabilization, then remove it only on a coarse mesh. Both methods can be considered as conforming, mixed methods for 1) velocity and its gradient, and 2) velocity and vorticity. Herein we rigorously study the schemes both analytically and computationally, showing that both methods are unconditionally stable and optimally convergent. Numerical experiments show both methods provide improved results over the unstabilized Navier&ndashStokes Equations.
Recommended Citation
Galvin, Keith, "A Numerical Study of Subgrid Artificial Viscosity Methods for the Navier-Stokes Equations" (2010). All Theses. 826.
https://open.clemson.edu/all_theses/826