---
res:
  bibo_abstract:
  - This paper presents a new representation of curve dynamics, with applications
    to vortex filaments in fluid dynamics. Instead of representing these filaments
    with explicit curve geometry and Lagrangian equations of motion, we represent
    curves implicitly with a new co-dimensional 2 level set description. Our implicit
    representation admits several redundant mathematical degrees of freedom in both
    the configuration and the dynamics of the curves, which can be tailored specifically
    to improve numerical robustness, in contrast to naive approaches for implicit
    curve dynamics that suffer from overwhelming numerical stability problems. Furthermore,
    we note how these hidden degrees of freedom perfectly map to a Clebsch representation
    in fluid dynamics. Motivated by these observations, we introduce untwisted level
    set functions and non-swirling dynamics which successfully regularize sources
    of numerical instability, particularly in the twisting modes around curve filaments.
    A consequence is a novel simulation method which produces stable dynamics for
    large numbers of interacting vortex filaments and effortlessly handles topological
    changes and re-connection events.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Sadashige
      foaf_name: Ishida, Sadashige
      foaf_surname: Ishida
      foaf_workInfoHomepage: http://www.librecat.org/personId=6F7C4B96-A8E9-11E9-A7CA-09ECE5697425
    orcid: 0000-0002-3121-3100
  - foaf_Person:
      foaf_givenName: Christopher J
      foaf_name: Wojtan, Christopher J
      foaf_surname: Wojtan
      foaf_workInfoHomepage: http://www.librecat.org/personId=3C61F1D2-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-6646-5546
  - foaf_Person:
      foaf_givenName: Albert
      foaf_name: Chern, Albert
      foaf_surname: Chern
  bibo_doi: 10.1145/3550454.3555459
  bibo_issue: '6'
  bibo_volume: 41
  dct_date: 2022^xs_gYear
  dct_identifier:
  - UT:000891651900061
  dct_isPartOf:
  - http://id.crossref.org/issn/0730-0301
  - http://id.crossref.org/issn/1557-7368
  dct_language: eng
  dct_publisher: Association for Computing Machinery@
  dct_title: Hidden degrees of freedom in implicit vortex filaments@
...