Combustion Waves on the Point Set Surface
- Authors
- Jeong, SoHyeon; Kim, Chang-Hun
- Issue Date
- 10월-2013
- Publisher
- WILEY
- Keywords
- combustion waves; angular Voronoi weight; Laplace-Beltrami operator; discrete exponential map; semi-Lagrangian method
- Citation
- COMPUTER GRAPHICS FORUM, v.32, no.7, pp.225 - 234
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTER GRAPHICS FORUM
- Volume
- 32
- Number
- 7
- Start Page
- 225
- End Page
- 234
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/102100
- DOI
- 10.1111/cgf.12230
- ISSN
- 0167-7055
- Abstract
- This paper introduces a combustion model of heat transfer and fuel consumption for the propagation of a fire front on a point cloud surface. The heat transfer includes the heat advection by the airflow as well as diffusion, chemical reaction, and heat loss to generate complex, but controllable heat flows with a designed airflow velocity. For the stable heat advection, we solve a semi-Lagrangian method on point samples using discrete exponential maps to trace the position from which the wind blows while preserving the geodesic distance. We also propose angular Voronoi weights for a discrete Laplace-Beltrami operator that shows better isotropic diffusion on the inhomogeneous distribution of point clouds than the cotangent or moving least-squares schemes. We demonstrate a diversity of burning scenarios by incorporating factors affecting the fire spreading such as buoyancy and object geometries in the airflow velocity fields, or by synthesizing patterns.
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Collections - Graduate School > Department of Computer Science and Engineering > 1. Journal Articles
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