Stretch-minimising stream surfaces
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 thei...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/51602 |
| _version_ | 1848758738283921408 |
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| author | Barton, M. Kosinka, J. Calo, Victor |
| author_facet | Barton, M. Kosinka, J. Calo, Victor |
| author_sort | Barton, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T09:48:45Z |
| format | Journal Article |
| id | curtin-20.500.11937-51602 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:48:45Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-516022017-09-13T15:47:18Z Stretch-minimising stream surfaces Barton, M. Kosinka, J. Calo, Victor 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 Journal Article http://hdl.handle.net/20.500.11937/51602 10.1016/j.gmod.2015.01.002 fulltext |
| spellingShingle | Barton, M. Kosinka, J. Calo, Victor Stretch-minimising stream surfaces |
| title | Stretch-minimising stream surfaces |
| title_full | Stretch-minimising stream surfaces |
| title_fullStr | Stretch-minimising stream surfaces |
| title_full_unstemmed | Stretch-minimising stream surfaces |
| title_short | Stretch-minimising stream surfaces |
| title_sort | stretch-minimising stream surfaces |
| url | http://hdl.handle.net/20.500.11937/51602 |