Andrew Corrigan's Ph.D. Dissertation

Committee Members

Prof. Daniel Anderson
Prof. Juan Cebral
Prof. David Singman
Prof. John Wallin (Committee chair, Dissertation co-director)
Prof. Thomas Wanner (Dissertation co-director)

Qualifying Exam

Written exam, June 16, 2008

Linear and nonlinear functional analysis
Measure Theory, Integration, Lp spaces, Convolution, Fourier analysis
Partial differential equations
Fluid dynamics

Oral exam, July 8, 2008, 1:00 PM, Science & Technology 1, Room 242

Computational Project

Write a code using a meshless method to find the flow around the NACA 0012 foil, analogous to the homework from the course CSI 721 which uses the finite volume method.

Validate the code against the FVM code by visualizing the solution produced by each code, and comparing residuals.
Explore how kernel size affects the the results. This may include choosing both adaptive and constant kernel sizes. Several tests should be run using different kernel sizes
Profile the meshless code and compare its performance with that of the FVM code.
Summarize the results in a short 5-10 page paper and in an oral presentation for the committee.

Proposal

Friday, October 10, 2008, 9:00 AM, Research I, Room 301