Abstract
Dynamic surfaces arise in many applications, such as free surfaces in multiphase flows and moving interfaces in fluid-solid interaction. In many engineering applications, an explicit surface triangulation is often used to represent dynamic surfaces, posing significant challenges in adapting their meshes, especially if large curvatures and sharp features may dynamically emerge 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 positional errors and to capture geometric features of dynamic surfaces based on a novel extension of the quadrics. 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 technique for static and dynamic surfaces.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 363-376 |
| Number of pages | 14 |
| Journal | Engineering with Computers |
| Volume | 26 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 1 2010 |
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Keywords
- Anisotropic meshing
- Dynamic surfaces
- Feature preservation
- Mesh adaptation
- Metric tensor
ASJC Scopus subject areas
- Software
- Modeling and Simulation
- Engineering(all)
- Computer Science Applications
Cite this
Anisotropic mesh adaptation for evolving triangulated surfaces. / Jiao, Xiangmin; Colombi, Andrew; Ni, Xinlai; Hart, John.
In: Engineering with Computers, Vol. 26, No. 4, 01.08.2010, p. 363-376.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Anisotropic mesh adaptation for evolving triangulated surfaces
AU - Jiao, Xiangmin
AU - Colombi, Andrew
AU - Ni, Xinlai
AU - Hart, John
PY - 2010/8/1
Y1 - 2010/8/1
N2 - Dynamic surfaces arise in many applications, such as free surfaces in multiphase flows and moving interfaces in fluid-solid interaction. In many engineering applications, an explicit surface triangulation is often used to represent dynamic surfaces, posing significant challenges in adapting their meshes, especially if large curvatures and sharp features may dynamically emerge 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 positional errors and to capture geometric features of dynamic surfaces based on a novel extension of the quadrics. 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 technique for static and dynamic surfaces.
AB - Dynamic surfaces arise in many applications, such as free surfaces in multiphase flows and moving interfaces in fluid-solid interaction. In many engineering applications, an explicit surface triangulation is often used to represent dynamic surfaces, posing significant challenges in adapting their meshes, especially if large curvatures and sharp features may dynamically emerge 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 positional errors and to capture geometric features of dynamic surfaces based on a novel extension of the quadrics. 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 technique for static and dynamic surfaces.
KW - Anisotropic meshing
KW - Dynamic surfaces
KW - Feature preservation
KW - Mesh adaptation
KW - Metric tensor
UR - http://www.scopus.com/inward/record.url?scp=77956903414&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77956903414&partnerID=8YFLogxK
U2 - 10.1007/s00366-009-0170-1
DO - 10.1007/s00366-009-0170-1
M3 - Article
AN - SCOPUS:77956903414
VL - 26
SP - 363
EP - 376
JO - Engineering with Computers
JF - Engineering with Computers
SN - 0177-0667
IS - 4
ER -