Stretch-minimising stream surfaces

Handle URI:
http://hdl.handle.net/10754/564166
Title:
Stretch-minimising stream surfaces
Authors:
Barton, Michael ( 0000-0002-1843-251X ) ; Kosinka, Jin; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
We study the problem of finding stretch-minimising stream surfaces in a divergence-free vector field. These surfaces are generated by motions of seed curves that propagate through the field in a stretch minimising manner, i.e., they move without stretching or shrinking, preserving the length of their arbitrary arc. In general fields, such curves may not exist. How-ever, the divergence-free constraint gives rise to these 'stretch-free' curves that are locally arc-length preserving when infinitesimally propagated. Several families of stretch-free curves are identified and used as initial guesses for stream surface generation. These surfaces are subsequently globally optimised to obtain the best stretch-minimising stream surfaces in a given divergence-free vector field. Our algorithm was tested on benchmark datasets, proving its applicability to incompressible fluid flow simulations, where our stretch-minimising stream surfaces realistically reflect the flow of a flexible univariate object. © 2015 Elsevier Inc. All rights reserved.
KAUST Department:
Numerical Porous Media SRI Center (NumPor); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program
Publisher:
Elsevier BV
Journal:
Graphical Models
Issue Date:
May-2015
DOI:
10.1016/j.gmod.2015.01.002
Type:
Article
ISSN:
15240703
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBarton, Michaelen
dc.contributor.authorKosinka, Jinen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-08-03T12:34:48Zen
dc.date.available2015-08-03T12:34:48Zen
dc.date.issued2015-05en
dc.identifier.issn15240703en
dc.identifier.doi10.1016/j.gmod.2015.01.002en
dc.identifier.urihttp://hdl.handle.net/10754/564166en
dc.description.abstractWe study the problem of finding stretch-minimising stream surfaces in a divergence-free vector field. These surfaces are generated by motions of seed curves that propagate through the field in a stretch minimising manner, i.e., they move without stretching or shrinking, preserving the length of their arbitrary arc. In general fields, such curves may not exist. How-ever, the divergence-free constraint gives rise to these 'stretch-free' curves that are locally arc-length preserving when infinitesimally propagated. Several families of stretch-free curves are identified and used as initial guesses for stream surface generation. These surfaces are subsequently globally optimised to obtain the best stretch-minimising stream surfaces in a given divergence-free vector field. Our algorithm was tested on benchmark datasets, proving its applicability to incompressible fluid flow simulations, where our stretch-minimising stream surfaces realistically reflect the flow of a flexible univariate object. © 2015 Elsevier Inc. All rights reserved.en
dc.publisherElsevier BVen
dc.subjectArc-length preservationen
dc.subjectDivergence-free vector fielden
dc.subjectFlow visualisationen
dc.subjectStream surfaceen
dc.titleStretch-minimising stream surfacesen
dc.typeArticleen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.identifier.journalGraphical Modelsen
dc.contributor.institutionComputer Laboratory, University of Cambridge, 15 JJ Thomson Avenue, Cambridge, United Kingdomen
kaust.authorBarton, Michaelen
kaust.authorCalo, Victor M.en
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