Stretch-minimising stream surfaces

Michael Barton, Jin Kosinka, Victor M. Calo

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)12-22
Number of pages11
JournalGraphical Models
Volume79
DOIs
StatePublished - May 2015

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Computer Graphics and Computer-Aided Design
  • Software

Fingerprint Dive into the research topics of 'Stretch-minimising stream surfaces'. Together they form a unique fingerprint.

Cite this