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• W2078459286 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." @default.
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• W2078459286 date "2009-04-01" @default.
• W2078459286 modified "2023-09-25" @default.
• W2078459286 title "Locating an atmospheric contamination source using slow manifolds" @default.
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• W2078459286 doi "https://doi.org/10.1063/1.3115065" @default.
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