Locating an atmospheric contamination source using slow manifolds
SCOPUS
- Title
- Locating an atmospheric contamination source using slow manifolds
- Authors
- RYU, YOUNG HEE; Tang, Wenbo; Haller, George; Baik, Jong-Jin
- Date Issued
- 2009-04
- Publisher
- American Institute of Physics
- Abstract
- Finite-size particle motion in fluids obeys the Maxey-Riley equations, which become singular in the limit of infinitesimally small particle size. Because of this singularity, finding the source of a dispersed set of small particles is a numerically ill-posed problem that leads to exponential blowup. Here we use recent results on the existence of a slow manifold in the Maxey-Riley equations to overcome this difficulty in source inversion. Specifically, we locate the source of particles by projecting their dispersed positions on a time-varying slow manifold, and by advecting them on the manifold in backward time. We use this technique to locate the source of a hypothetical anthrax release in an unsteady three-dimensional atmospheric wind field in an urban street canyon.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/108072
- DOI
- 10.1063/1.3115065
- ISSN
- 1070-6631
- Article Type
- Article
- Citation
- Physics of Fluids, vol. 21, no. 4, 2009-04
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- There are no files associated with this item.
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