Locating an atmospheric contamination source using slow manifolds

Physics of Fluids

Volumn 21, Issue 4, 2009, Pages

  Tang, Wenbo ^a   Haller, George ^b   Baik, Jong Jin ^c   Ryu, Young Hee ^c  

^a ARIZONA STATE UNIVERSITY   (United States)

^b Massachusetts Institute of Technology   (United States)

^c Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

FLUIDS; PHYSICS;

ATMOSPHERIC CONTAMINATION; ATMOSPHERIC WINDS; FINITE-SIZE PARTICLES; ILL POSED PROBLEM; SMALL PARTICLE SIZE; SMALL PARTICLES; SOURCE INVERSION; URBAN STREET CANYON;

PARTICLE SIZE;

EID: 65549088094     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3115065     Document Type: Article

References (23)

1. M. R. Maxey and J. J. Riley, "Equation of motion for a small rigid sphere in a nonuniform flow," Phys. Fluids PFLDAS0031-9171 26, 883 (1983).
2. T. R. Auton, J. C. R. Hunt, and M. Prud'Homme, "The force exerted on a body in inviscid unsteady non-uniform rotational flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112088003246 197, 241 (1988).
3. A. Babiano, J. H. E. Cartwright, O. Piro, and A. Provenzale, "Dynamics of a small neutrally buoyant sphere in a fluid and targeting in Hamiltonian systems," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.84.5764 84, 5764 (2000).
4. I. J. Benczik, Z. Toroczkai, and T. Tél, "Selective sensitivity of open chaotic flows on inertial tracer advection: Catching particles with a stick," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.89.164501 89, 164501 (2002).
5. M. R. Maxey, "The motion of small spherical particles in a cellular flow field," Phys. Fluids PFLDAS0031-9171 30, 1915 (1987).
6. L. P. Wang, M. R. Maxey, T. D. Burton, and D. E. Stock, "Chaotic dynamics of particle dispersion in fluids," Phys. Fluids A PFADEB0899-821310.1063/1.858401 4, 1789 (1992).
7. G. Haller and T. Sapsis, "Where do inertial particles go in fluid flows," Physica D PDNPDT0167-278910.1016/j.physd.2007.09.027 237, 573 (2008).
8. J.-F. Sini, S. Anquetin, and P. G. Mestayer, "Pollutant dispersion and thermal effects in urban street canyons," Atmos. Environ. AENVEQ1352-2310 30, 2659 (1996).
9. J.-J. Kim and J.-J. Baik, "A numerical study of the effects of ambient wind direction on flow and dispersion in urban street canyons using the RNG k-ε turbulence model," Atmos. Environ. AENVEQ1352-231010.1016/j.atmosenv.2004.02.047 38, 3039 (2004).
10. E. Mograbi and E. Bar-ziv, "On the asymptotic solution of the Maxey-Riley equation," Phys. Fluids PHFLE61070-663110.1063/ 1.2204064 18, 051704 (2006).
11. J. Rubin, C. K. R. T. Jones, and M. Maxey, "Settling and asymptotic motion of aerosol particles in a cellular flow field," J. Nonlinear Sci. JNSCEK0938-879410.1007/BF01275644 5, 337 (1995).
12. T. J. Burns, R. W. Davis, and E. F. Moore, "A perturbation study of particle dynamics in a plane wake flow," J. Fluid Mech. JFLSA70022-112010.1017/S002211209900419X 384, 1 (1999).
13. S. L. Rani and S. Balachandar, "Evaluation of the equilibrium Eulerian approach for the evolution of particle concentration in isotropic turbulence," Int. J. Multiphase FlowIJMFBP0301-932210.1016/j.ijmultiphaseflow.2003.09.005 29, 1793 (2003).
14. O. A. Druzhinin, "On the two-way interaction in two-dimensional particle-laden flows: The accumulation of particles and flow modification," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112095003004 297, 49 (1995).
15. J. Ferry and S. Balachandar, "A fast Eulerian method for disperse two-phase flow," Int. J. Multiphase FlowI JMFBP0301-932210.1016/ S0301-9322(00)00069-0 27, 1199 (2001).
16. E. Balkovsky, G. Falkovich, and A. Fouxon, "Intermittent distribution of inertial particles in turbulent flows," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.86.2790 86, 2790 (2001).
17. T. Sapsis and G. Haller, "Instabilities in the dynamics of neutrally buoyant particles," Phys. Fluids PHFLE61070-663110.1063/ 1.2830328 20, 017102 (2008).
18. G. Haller, "Distinguished material surfaces and coherent structures in 3D fluid flows," Physica DPDNPDT0167-278910.1016/ S0167-2789(00)00199-8 149, 248 (2001).
19. M. Mathur, G. Haller, T. Peacock, J. E. Ruppert-Felsot, and H. L. Swinney, "Uncovering the Lagrangian skeleton of turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.98.144502 98, 144502 (2007).
20. S. C. Shadden, F. Lekien, and J. E. Marsden, "Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows," Physica DPDNPDT0167-278910.1016/j.physd.2005.10.007 212, 271 (2005).
21. F. Lekien, S. C. Shadden, and J. E. Marsden, "Lagrangian coherent structures in n-dimensional systems," J. Math. Phys. JMAPAQ0022-248810.1063/1.2740025 48, 065404 (2007).
22. E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations, 2nd ed. (Springer-Verlag, Berlin, 2006).
23. C. Crowe, M. Sommerfeld, and Y. Tsuji, Multiphase Flows with Droplets and Particles (CRC, Boca Raton, FL, 1998).