Publications

Strain-minimising Stream Surfaces

Bibliography:

Michael Barton, Jiri Kosinka, Victor Manuel Calo, "Strain-minimising Stream Surfaces",Graphical Models, submitted, 2014.

Authors:

Michael Barton, Jiri Kosinka, Victor Manuel Calo

Keywords:

Stream surface, divergence-free vector field, strain, flow visualization

Year:

2014

Abstract:

We study the problem of finding strain-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 strain
minimising manner, i.e., they move without stretching or shrinking,
preserving the length of their arbitrary arc. In general fields, such curves do not
exist. However, the divergence-free constraint gives rise to
these 'strain-free' curves that are locally arc-length preserving when
infinitesimally propagated. Several families of strain-free curves are
identified and used as initial guesses for stream surface generation.
These surfaces are subsequently globally optimised to obtain the best
strain-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
strain-minimising stream surfaces realistically reflect the flow of a
flexible univariate object.

ISSN:

11111