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    Stretch-minimising stream surfaces

    250784.pdf (14.82Mb)
    Access Status
    Open access
    Authors
    Barton, M.
    Kosinka, J.
    Calo, Victor
    Date
    2015
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Barton, M. and Kosinka, J. and Calo, V. 2015. Stretch-minimising stream surfaces. Graphical Models. 79: pp. 12-22.
    Source Title
    Graphical Models
    DOI
    10.1016/j.gmod.2015.01.002
    ISSN
    1524-0703
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/51602
    Collection
    • Curtin Research Publications
    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.

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