Committee Chair

Karman, Steve L., Jr.

Committee Member

Kapadia, Sagar; Newman, James C., III; Betro, Vincent C.

Department

Dept. of Computational Engineering

College

College of Arts and Sciences

Publisher

University of Tennessee at Chattanooga

Place of Publication

Chattanooga (Tenn.)

Abstract

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.

Degree

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.

Date

8-2015

Subject

Numerical grid generation (Numerical analysis); Computer algorithms

Keyword

grid generation; tetrahedral meshing; Lawson

Discipline

Computational Engineering

Document Type

Masters theses

Extent

xiv, 152 leaves

Language

English

Rights

Under copyright.

License

http://creativecommons.org/licenses/by-nc-nd/3.0/

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