NDLI: Vortex and Strain Skeletons in Eulerian and Lagrangian Frames

Content Provider	IEEE Xplore Digital Library
Author	Sahner, J. Weinkauf, T. Teuber, N. Hege, H.-C.
Copyright Year	1995
Abstract	We present an approach to analyze mixing in flow fields by extracting vortex and strain features as extremal structures of derived scalar quantities that satisfy a duality property: They indicate vortical as well as high-strain (saddle-type) regions. Specifically, we consider the Okubo-Weiss criterion and the recently introduced M_Z criterion. Although the first is derived from a purely Eulerian framework, the latter is based on Lagrangian considerations. In both cases, high values indicate vortex activity, whereas low values indicate regions of high strain. By considering the extremal features of those quantities, we define the notions of a vortex and a strain skeleton in a hierarchical manner: The collection of maximal zero-dimensional, one-dimensional, and 2D structures assemble the vortex skeleton; the minimal structures identify the strain skeleton. We extract those features using scalar field topology and apply our method to a number of steady and unsteady 3D flow fields.
Sponsorship	IEEE Computer Society Technical Committee on Computer Graphics IEEE Computer Society
File Size	1748593
File Format	PDF
ISSN	10772626
Volume Number	13
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-09-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Capacitive sensors Skeleton Lagrangian functions Feature extraction Data mining Switches Assembly Topology Data visualization Automatic control strain features flow visualization feature extraction vortex core lines
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Signal Processing Computer Vision and Pattern Recognition Software

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Vortex and Strain Skeletons in Eulerian and Lagrangian Frames

Lagrangian-Eulerian advection of noise and dye textures for unsteady flow visualization

Predictor-Corrector Schemes for Visualization ofSmoothed Particle Hydrodynamics Data

Extracting higher order critical points and topological simplification of 3D vector fields

Vortex Visualization for Practical Engineering Applications

Adaptive Extraction and Quantification of Geophysical Vortices

A higher-order method for finding vortex core lines

Features in Continuous Parallel Coordinates

Extracting, Tracking, and Visualizing Magnetic Flux Vortices in 3D Complex-Valued Superconductor Simulation Data

Vortex and Strain Skeletons in Eulerian and Lagrangian Frames

Similar Documents

Vortex and Strain Skeletons in Eulerian and Lagrangian Frames

Lagrangian-Eulerian advection of noise and dye textures for unsteady flow visualization

Predictor-Corrector Schemes for Visualization ofSmoothed Particle Hydrodynamics Data

Extracting higher order critical points and topological simplification of 3D vector fields

Vortex Visualization for Practical Engineering Applications

Adaptive Extraction and Quantification of Geophysical Vortices

A higher-order method for finding vortex core lines

Features in Continuous Parallel Coordinates

Extracting, Tracking, and Visualizing Magnetic Flux Vortices in 3D Complex-Valued Superconductor Simulation Data

Vortex and Strain Skeletons in Eulerian and Lagrangian Frames