Anisotropic mesh adaptation for evolving triangulated surfaces

Xiangmin Jiao, Andrew Colombi, Xinlai Ni, John C. Hart

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Dynamic surfaces arise in many applications, such as free surfaces in multiphase flows and moving interfaces in fluid-solid interactions. In many applications, an explicit surface triangulation is used to track the dynamic surfaces, posing significant challenges in adapting their meshes, especially if large curvatures and sharp features may dynamically appear or vanish as the surfaces evolve. In this paper, we present an anisotropic mesh adaptation technique to meet these challenges. Our technique strives for optimal aspect ratios of the triangulation to reduce interpolation errors and to capture geometric features based on a novel extension of the quadric-based surface analysis. Our adaptation algorithm combines the operations of vertex redistribution, edge flipping, edge contraction, and edge splitting. Experimental results demonstrate the effectiveness of our anisotropic adaptation techniques for static and dynamic surfaces.

Original languageEnglish (US)
Title of host publicationProceedings of the 15th International Meshing Roundtable, IMR 2006
Pages173-190
Number of pages18
DOIs
StatePublished - Dec 1 2006
Event15th International Meshing Roundtable, IMR 2006 - Birmingham, AL, United States
Duration: Sep 17 2006Sep 20 2006

Publication series

NameProceedings of the 15th International Meshing Roundtable, IMR 2006

Other

Other15th International Meshing Roundtable, IMR 2006
CountryUnited States
CityBirmingham, AL
Period9/17/069/20/06

Keywords

  • Anisotropic meshes
  • Dynamic surfaces
  • Feature preservation
  • Mesh adaptation

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Modeling and Simulation

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  • Cite this

    Jiao, X., Colombi, A., Ni, X., & Hart, J. C. (2006). Anisotropic mesh adaptation for evolving triangulated surfaces. In Proceedings of the 15th International Meshing Roundtable, IMR 2006 (pp. 173-190). (Proceedings of the 15th International Meshing Roundtable, IMR 2006). https://doi.org/10.1007/978-3-540-34958-7_11