Tetrahedral mesh optimization and generation via topological transformations and gradient based node perturbation

A general tetrahedral mesh optimization scheme utilizing both topological changes (i.e. flips) and gradient-based vertex optimization (i.e. smoothing) is demonstrated. This scheme is used in the optimization of tetrahedral meshes created by third-party software as well as a grid generation methodology created for this work. The particular algorithms involved are explained in detail including, an explication of the primary optimization metric, weighted condition number. In addition, a thorough literature review regarding tetrahedral mesh generation is given.

Grantor dc:publisher

University of Tennessee at Chattanooga

Author dc:creator

• Hilbert, Christopher B.

Contributors dc:contributor

• Karman, Steve L., Jr.
• Kapadia, Sagar; Newman, James C., III; Betro, Vincent C.
• College of Arts and Sciences

• Numerical grid generation (Numerical analysis)
• Computer algorithms

Licence

• https://rightsstatements.org/page/InC/1.0/?language=en

Language dc:language

English, eng

Repository record dc:identifier

https://scholar.utc.edu/theses/185

OAI identifier oai:identifier

oai:scholar.utc.edu:theses-1325