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Title: Identifying Turbulent Structures through Topological Segmentation

A new method of extracting vortical structures from a turbulent flow is proposed whereby topological segmentation of an indicator function scalar field is used to identify the regions of influence of the individual vortices. This addresses a long-standing challenge in vector field topological analysis: indicator functions commonly used produce a scalar field based on the local velocity vector field; reconstructing regions of influence for a particular structure requires selecting a threshold to define vortex extent. In practice, the same threshold is rarely meaningful throughout a given flow. By also considering the topology of the indicator field function, the characteristics of vortex strength and extent can be separated and the ambiguity in the choice of the threshold reduced. The proposed approach is able to identify several types of vortices observed in a jet in cross-flow configuration simultaneously where no single threshold value for a selection of common indicator functions appears able to identify all of these vortex types.
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Publication Date:
OSTI Identifier:
Report Number(s):
Journal ID: ISSN 1559-3940
DOE Contract Number:
Resource Type:
Journal Article
Resource Relation:
Journal Name: Communications in Applied Mathematics and Computational Science; Journal Volume: 11; Journal Issue: 1; Related Information: Communications in Applied Mathematics and Computational Science
Research Org:
NREL (National Renewable Energy Laboratory (NREL), Golden, CO (United States))
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
97 MATHEMATICS AND COMPUTING turbulent flows; topology; vortex structures; segmentation