Date of Award
5-2012
Document Type
Thesis
Degree Name
Master of Science (MS)
Legacy Department
Mathematical Science
Committee Chair/Advisor
Rebholz, Leo G
Committee Member
Cox, Chris L
Committee Member
Lee, Hyesuk K
Abstract
In this thesis, we study algorithms for the 2D NS-alpha model of incompressible flow. These schemes conserve both discrete energy and discrete enstrophy in the absence of viscous and external forces, and otherwise admit exact balances for them analogous to those of true fluid flow. This model belongs to a very small group that conserves both of these quantities in the continuous case, and in this work, we develop finite element algorithms for the vorticity-stream formulation of this model that will preserve numerical energy and enstrophy in the computed solutions.
Recommended Citation
Dowling, Michael, "Enhanced Physics Schemes for the 2D NS-alpha Models of Incompressible Flow" (2012). All Theses. 1388.
https://tigerprints.clemson.edu/all_theses/1388