Title
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.
Year
DOI
Venue
2014
10.1145/2601097.2601201
ACM Trans. Graph.
Keywords
Field
DocType
animation,codimension,incompressible,surface tension
Compressibility,Codimension,Surface tension,Flow (psychology),Thin film,Numerical analysis,Geometry,Tetrahedron,Drop (liquid),Mathematics
Journal
Volume
Issue
ISSN
33
4
0730-0301
Citations 
PageRank 
References 
18
0.63
42
Authors
5
Name
Order
Citations
PageRank
Bo Zhu122717.31
Ed Quigley2301.88
Matthew Cong3301.60
Justin Solomon482748.48
Ronald Fedkiw54772287.40