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 language | English (US) |
|---|---|
| Title of host publication | Proceedings of the 15th International Meshing Roundtable, IMR 2006 |
| Pages | 173-190 |
| Number of pages | 18 |
| DOIs | |
| State | Published - Dec 1 2006 |
| Event | 15th International Meshing Roundtable, IMR 2006 - Birmingham, AL, United States Duration: Sep 17 2006 → Sep 20 2006 |
Publication series
| Name | Proceedings of the 15th International Meshing Roundtable, IMR 2006 |
|---|
Other
| Other | 15th International Meshing Roundtable, IMR 2006 |
|---|---|
| Country | United States |
| City | Birmingham, AL |
| Period | 9/17/06 → 9/20/06 |
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Keywords
- Anisotropic meshes
- Dynamic surfaces
- Feature preservation
- Mesh adaptation
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Modeling and Simulation
Cite this
Anisotropic mesh adaptation for evolving triangulated surfaces. / Jiao, Xiangmin; Colombi, Andrew; Ni, Xinlai; Hart, John C.
Proceedings of the 15th International Meshing Roundtable, IMR 2006. 2006. p. 173-190 (Proceedings of the 15th International Meshing Roundtable, IMR 2006).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Anisotropic mesh adaptation for evolving triangulated surfaces
AU - Jiao, Xiangmin
AU - Colombi, Andrew
AU - Ni, Xinlai
AU - Hart, John C.
PY - 2006/12/1
Y1 - 2006/12/1
N2 - 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.
AB - 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.
KW - Anisotropic meshes
KW - Dynamic surfaces
KW - Feature preservation
KW - Mesh adaptation
UR - http://www.scopus.com/inward/record.url?scp=34547968423&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34547968423&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-34958-7_11
DO - 10.1007/978-3-540-34958-7_11
M3 - Conference contribution
AN - SCOPUS:34547968423
SN - 354034957X
SN - 9783540349570
T3 - Proceedings of the 15th International Meshing Roundtable, IMR 2006
SP - 173
EP - 190
BT - Proceedings of the 15th International Meshing Roundtable, IMR 2006
ER -