Codimensional surface tension flow on simplicial complexes

Abstract

Many visually interesting natural phenomena are characterized by thin liquid sheets, long filaments, and droplets. We present a new Lagrangian-based numerical method to simulate these codimensional surface tension driven phenomena using non-manifold simplicial complexes. Tetrahedra, triangles, segments, and points are used to model the fluid volume, thin films, filaments, and droplets, respectively. We present a new method for enforcing fluid incompressibility on simplicial complexes along with a physically-guided meshing algorithm to provide temporally consistent information for interparticle forces. Our method naturally allows for transitions between codimensions, either from tetrahedra to triangles to segments to points or vice versa, regardless of the simulation resolution. We demonstrate the efficacy of this method by simulating various natural phenomena that are characterized by thin fluid sheets, filaments, and surface tension effects.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 27, 2014
Source ID
10.1145/2601097.2601201

Entities

People

  • Bo Zhu
  • Ed Quigley
  • Justin Solomon
  • Matthew Cong
  • Ronald Fedkiw

Organizations

  • Intel Corporation
  • Office of Naval Research
  • Stanford University
  • United States Army Research Laboratory

Tags

Readers

  • Coastal Oceanography
  • Computer Vision.
  • Structural Dynamics.