Karman, Steve L., Jr.
Kapadia, Sagar; Newman, James C., III; Betro, Vincent C.
College of Arts and Sciences
University of Tennessee at Chattanooga
Place of Publication
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.
Ph. D.; A dissertation submitted to the faculty of the University of Tennessee at Chattanooga in partial fulfillment of the requirements of the degree of Doctor of Philosophy.
Numerical grid generation (Numerical analysis); Computer algorithms
xiv, 152 leaves
Hilbert, Christopher B., "Tetrahedral mesh optimization and generation via topological transformations and gradient based node perturbation" (2015). Masters Theses and Doctoral Dissertations.