Towards optimal advection using stretch-maximizing stream surfaces

Michael Bartoň*, Jiří Kosinka

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We investigate a class of stream surfaces that expand in time as much as possible. Given a vector field, we look for seed curves that locally propagate in time in a stretch-maximizing manner, i.e., curves that infinitesimally expand most progressively. We show that such a curve is generically unique at every point in an incompressible flow and offers a very good initial guess for a stretch-maximizing stream surface. With the application of efficient fluid advection–diffusion in mind, we optimize fluid injection towards optimal advection and show several examples on benchmark datasets.

Original languageEnglish (US)
Pages (from-to)3-12
Number of pages10
JournalComputer Aided Geometric Design
StatePublished - Mar 1 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier B.V.


  • Advection
  • Flow visualization
  • Seed curve
  • Stream surface

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design


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