Consistent representation of two-dimensional flow

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Publication Type thesis
School or College School of Computing
Department Computing (School of)
Author Jadhav, Shreeraj
Title Consistent representation of two-dimensional flow
Date 2012-08
Description Analysis and visualization of flow is an important part of many scientific endeavors. Computation of streamlines is fundamental to many of these analysis and visualization tasks. A streamline is the path a massless particle traces under the instantenous velocities of a given vector field. Flow data are often stored as a sampled vector field over a mesh. We propose a new representation of flow defined by such a vector field. Given a triangulation and a vector field defined over its vertices, we represent flow in the form of its transversal behavior over the edges of the triangulation. A streamline is represented as a set of discrete jumps over these edges. Any information about the actual path taken through the interior of the triangles is discarded. We eliminate the necessity to compute actual paths of streamlines through the interior of each triangle while maintaining the aggregate behavior of flow within each of them. We discretize each edge uniformly into a fixed number of bins and use this discretization to form a combinatorial representation of flow in the form of a directed graph whose nodes are the set of all bins and its edges represent the discrete jumps between these bins. This representation is a combinatorial structure that provides robustness and consistency in expressing flow features like the critical points, streamlines, separatrices and closed streamlines which are otherwise hard to compute consistently.
Type Text
Publisher University of Utah
Subject Data analysis; Discrete methods; Vector fields; Two-dimensional flow
Subject LCSH Flow visualization
Dissertation Institution University of Utah
Dissertation Name Master of Science
Language eng
Rights Management Copyright © Shreeraj Jadhav 2012
Format Medium application/pdf
Format Extent 14,994,490 bytes
Identifier etd3/id/1787
Source Original in Marriott Library Special Collections, TA7.5 2012 .J33
ARK ark:/87278/s60c59kj
Setname ir_etd
Date Created 2012-08-06
Date Modified 2017-09-14
ID 195476
Reference URL https://collections.lib.utah.edu/ark:/87278/s60c59kj
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