On the Computation of Integral Curves in Adaptive Mesh Refinement Vector Fields

Authors Eduard Deines, Gunther H. Weber, Christoph Garth, Brian Van Straalen, Sergey Borovikov



PDF
Thumbnail PDF

File

DFU.Vol2.SciViz.2011.73.pdf
  • Filesize: 0.78 MB
  • 19 pages

Document Identifiers

Author Details

Eduard Deines
Gunther H. Weber
Christoph Garth
Brian Van Straalen
Sergey Borovikov

Cite AsGet BibTex

Eduard Deines, Gunther H. Weber, Christoph Garth, Brian Van Straalen, and Sergey Borovikov. On the Computation of Integral Curves in Adaptive Mesh Refinement Vector Fields. In Scientific Visualization: Interactions, Features, Metaphors. Dagstuhl Follow-Ups, Volume 2, pp. 73-91, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)
https://doi.org/10.4230/DFU.Vol2.SciViz.2011.73

Abstract

Integral curves, such as streamlines, streaklines, pathlines, and timelines, are an essential tool in the analysis of vector field structures, offering straightforward and intuitive interpretation of visualization results. While such curves have a long-standing tradition in vector field visualization, their application to Adaptive Mesh Refinement (AMR) simulation results poses unique problems. AMR is a highly effective discretization method for a variety of physical simulation problems and has recently been applied to the study of vector fields in flow and magnetohydrodynamic applications. The cell-centered nature of AMR data and discontinuities in the vector field representation arising from AMR level boundaries complicate the application of numerical integration methods to compute integral curves. In this paper, we propose a novel approach to alleviate these problems and show its application to streamline visualization in an AMR model of the magnetic field of the solar system as well as to a simulation of two incompressible viscous vortex rings merging.
Keywords
  • integration-based visualization
  • streamlines
  • interpolation
  • adaptive mesh refinement

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail