New approaches to quality tetrahedral mesh generation

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Title New approaches to quality tetrahedral mesh generation
Publication Type dissertation
School or College College of Engineering
Department Computing
Author Bronson, Jonathan R.
Date 2015-08
Description One of the fundamental building blocks of many computational sciences is the construction and use of a discretized, geometric representation of a problem domain, often referred to as a mesh. Such a discretization enables an otherwise complex domain to be represented simply, and computation to be performed over that domain with a finite number of basis elements. As mesh generation techniques have become more sophisticated over the years, focus has largely shifted to quality mesh generation techniques that guarantee or empirically generate numerically well-behaved elements. In this dissertation, the two complementary meshing subproblems of vertex placement and element creation are analyzed, both separately and together. First, a dynamic particle system achieves adaptivity over domains by inferring feature size through a new information passing algorithm. Second, a new tetrahedral algorithm is constructed that carefully combines lattice-based stenciling and mesh warping to produce guaranteed quality meshes on multimaterial volumetric domains. Finally, the ideas of lattice cleaving and dynamic particle systems are merged into a unified framework for producing guaranteed quality, unstructured and adaptive meshing of multimaterial volumetric domains.
Type Text
Publisher University of Utah
Subject Bounded; Cleaving; Meshing; Quality; Tetrahedral; Volumetric
Dissertation Institution University of Utah
Dissertation Name Doctor of Philosophy
Language eng
Rights Management Copyright © Jonathan R Bronson 2015
Format application/pdf
Format Medium application/pdf
Format Extent 27,005 bytes
Identifier etd3/id/3896
ARK ark:/87278/s6k67sdd
Setname ir_etd
ID 197447
Reference URL https://collections.lib.utah.edu/ark:/87278/s6k67sdd
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