Analysis of aerosol interactions with numerical techniques for solving coagulation, nucleation, condensation, dissolution, and reversible chemistry among multiple size distributions

Journal of Geophysical Research Atmospheres

Volumn 107, Issue 19, 2002, Pages AAC-2-1-AAC-2-23

  Jacobson, Mark Z ^a  

^a Stanford University   (United States)

Author keywords

Aerosols; Coagulation; Condensation; Equilibrium; Internal mixtures; Nucleation

Indexed keywords

ATMOSPHERIC AEROSOLS; ATMOSPHERIC HUMIDITY; COAGULATION; CONDENSATION; DISSOLUTION; NUCLEATION; NUMERICAL METHODS; REFRACTIVE INDEX;

AEROSOL PROPERTY; ATMOSPHERIC CHEMISTRY; COAGULATION; CONDENSATION; NUCLEATION; PARTICLE SIZE; REFRACTIVE INDEX; SIZE DISTRIBUTION;

EID: 36448932753     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001JD002044     Document Type: Article

References (80)

1. Andreae, M. O., R. J. Charlson, F. Bruynseels, H. Storms, R. V. Grieken, and W. Maenhaut, Internal mixture of sea salt, silicates, and excess sulfate in marine aerosols, Science, 232, 1620-1623, 1986.
2. Binkowski, F. S., and U. Shankar, The regional particulate matter model, 1, Model description and preliminary results, J. Geophys. Res., 100, 26,191-26,209, 1995.
3. Bott, A., A flux method for the numerical solution off the stochastic collection equation: Extension to two-dimensional particle distributions, J. Atmos. Sci., 57, 284-294, 2000.
4. Brock, J. R., D. Zehavi, and P. Kuhn, Condensation aerosol formations and growth in a laminar coaxial jet: Experimental, J. Aerosol Sci., 17, 11-22, 1986.
5. Capaldo, K. P., C. Pilinis, arid S. N. Pandis, A computationally efficient hybrid approach for dynamic gas/aerosol transfer in air quality models, Atmos. Environ., 34, 3617-3627, 2000.
6. Celia, M. A., and W. G. Gray, Numerical Methods for Differential Equations, Prentice-Hall, Old Tappan, N. J., 1992.
7. Chock, D. P., and S. L. Winkler, A trajectory-grid approach for solving the condensation and evaporation equations of aerosols, Atmos. Environ., 34, 2957-2973, 2000.
8. Fassi-Fihri, A., K. Suhre, and R. Rosset, Internal and external mixing in atmospheric aerosols by coagulation: Impact on the optical and hygroscopic properties of the sulfate-soot system, Atmos. Environ., 31, 1392-1402, 1997.
9. Fernandez-Diaz, J. M., M. A. Rodriguez-Brana, C. Gonzalez-Pola, B. Arganza, and P. J. Garcia-Nieto, A modified semi-implicit method to obtain the evolution of an aerosol by coagulation, Atmos. Environ., 34, 4301-4314, 2000.
10. Fridlind, A. M., and M. Z. Jacobson, A study of the gas-aerosol equilibrium and aerosol pH in the remote marine boundary layer during the First Aerosol Characterization Experiment (ACE 1), J. Geophys. Res., 105, 17,325-17,340, 2000.
11. Friedlander, S. K., Dynamics of aerosol formation by chemical reaction, Ann. N. Y. Acad. Sci., 404, 354-364, 1983.
12. Gelbard, F., Modeling multicomponent aerosol particle growth by vapor condensation, Aerosol Sci. Technol., 12, 399-412, 1990.
13. Gelbard, F., and J. H. Seinfeld, Simulation of multicomponent aerosol dynamics, J. Colloid Interface Sci., 78, 485-501, 1980.
14. Gelbard, F., J. W. Fitzgerald, and W. A. Hoppel, A one-dimensional sectional model to simulate multicomponent aerosol dynamics in the marine boundary layer, 3, Numerical methods and comparisons with exact solutions, J. Geophys. Res., 103, 16,119-16,132, 1998.
15. Guazzotti, S. A., J. R. Whiteaker, D. Suess, K. R. Coffee, and K. A. Prather, Atmos. Environ., 35, 3229-3240, 2001.
16. Hale, G. M., and M. R. Querry, Optical constants of water in the 200-nm to 200-mm wavelength region, Appl. Opt., 12, 555-563, 1973.
17. Jacobson, M. Z., Development and application of a new air pollution modeling system, part II, Aerosol module structure and design, Atmos. Environ., 31, 131-144, 1997a.
18. Jacobson, M. Z., Development and application of a new air pollution modeling system, part III, Aerosol-phase simulations, Atmos. Environ., 31, 587-608, 1997b.
19. Jacobson, M. Z., Numerical techniques to solve condensational and dissolutional growth equations when growth is coupled to reversible reactions, Aerosol Sci. Technol., 27, 491-498, 1997c.
20. Jacobson, M. Z., Fundamentals of Atmospheric Modeling, Cambridge Univ. Press, New York, 1999a.
21. Jacobson, M. Z., Studying the effects of calcium and magnesium on size-distributed nitrate and ammonium with EQUISOLV II, Atmos. Environ., 33, 3635-3649, 1999b.
22. Jacobson, M. Z., Isolating nitrated and aromatic aerosols and nitrated aromatic gases as sources of ultraviolet light absorption, J. Geophys. Res., 104, 3527-3542, 1999c.
23. Jacobson, M. Z., A physically-based treatment of elemental carbon optics: Implications for global direct forcing of aerosols, Geophys. Res. Lett., 27, 217-220, 2000.
24. Jacobson, M. Z., Strong radiative heating due to the mixing state of black carbon in atmospheric aerosols, Nature, 409, 695-697, 2001.
25. Jacobson, M. Z., and R. P. Turco, Simulating condensational growth, evaporation, and coagulation of aerosols using a combined moving and stationary size grid, Aerosol Sci. Technol., 22, 73-92, 1995.
26. Jacobson, M. Z., R. P. Turco, E. J. Jensen, and O. B. Toon, Modeling coagulation among particles of different composition and size, Atmos. Environ., 28A, 1327-1338, 1994.
27. Jacobson, M. Z., A. Tabazadeh, and R. P. Turco, Simulating equilibrium within aerosols and nonequilibrium between gases and aerosols, J. Geophys. Res., 101, 9079-9091, 1996.
28. Jeong, J. I., and M. Choi, A sectional method for the analysis of growth of polydisperse non-spherical particles undergoing coagulation and coalescence, J. Aerosol Sci., 32, 565-582, 2001.
29. Kim, Y. P., and J. H. Seinfeld, Simulation of multicomponent aerosol condensation by the moving sectional method, J. Colloid Interface Sci., 135, 185-199, 1990.
30. Kim, Y. P., and J. H. Seinfeld, Simulation of multicomponent aerosol dynamics, J. Colloid Interface Sci., 149, 425-449, 1992.
31. Kleeman, M. J., G. R. Cass, and A. Eldering, Modeling the airborne particle complex as a source-oriented external mixture, J. Geophys. Res., 102, 21,355-21,372, 1997.
32. Kostoglou, M., and A. J. Karabelas, Evaluation of zero order methods for simulating particle coagulation, J. Colloid Interface Sci., 163, 420-431, 1994.
33. Krekov, G. M., Models of atmospheric aerosols, in Aerosol Effects On Climate, edited by S. G. Jennings, pp. 9-64, Univ. of Ariz. Press, Tucson, 1993.
34. Kumar, S., and D. Ramkrishna, On the solution of population balance equations by discretization, I, A fixed pivot technique, Chem. Eng. Sci., 51, 1311-1332, 1996.
35. Levin, Z. L., E. Ganor, and V. Gladstein, The effects of desert particles coated with sulfate on rain formation in the eastern Mediterranean, J. Appl. Meteorol., 35, 1511-1523, 1996.
36. Lister, J. D., D. J. Smit, and M. J. Hounslow, Adjustable discretized population balance for growth and aggregation, AIChE J., 41, 591-603, 1995.
37. Lushnikov, A. A., Evolution of coagulating systems, J. Colloid Interface Sci., 54, 94-101, 1975.
38. Meng, Z., and J. H. Seinfeld, Time scales to achieve atmospheric gas-aerosol equilibrium for volatile species, Atmos. Environ., 30, 2889-2900, 1996.
39. Meng, Z., D. Dabdub, and J. H. Seinfeld, Size-resolved and chemically resolved model of atmospheric aerosol dynamics, J. Geophys. Res., 103, 3419-3435, 1998.
40. Middleton, P., and J. R. Brock, Simulation of aerosol kinetics, J. Colloid Interface Sci., 54, 249-264, 1976.
41. Mordy, W., Computations of the growth by condensation of a population of cloud droplets, Tellus, 11, 16-44, 1959.
42. Murphy, D. M., J. R. Anderson, P. K. Quinn, L. M. McInnes, F. J. Brechtel, S. M. Kreidenweis, A. M. Middlebrook, M. Pósfai, D. S. Thomson, and P. R. Buseck, Influence of sea-salt on aerosol radiative properties in the Southern Ocean marine boundary layer, Nature, 395, 62-65, 1998.
43. Naoe, H., and K. Okada, Mixing properties of submicrometer aerosol particles in the urban atmosphere: With regard to soot particles, Atmos. Environ., 35, 5765-5772, 2001.
44. Nguyen, K., and D. Dabdub, Two-level time-marching scheme using splines for solving the advection equation, Atmos. Environ., 35, 1627-1637, 2001.
45. Okada, K., and R. Hitzenberger, Mixing properties of individual submicrometer particles in Vienna, Atmos. Environ., 35, 5617-5628, 2001.
46. Palmer, K. F., and D. Williams, Optical constants of sulfuric acid: Application to the clouds of Venus?, Appl. Opt., 14, 208-219, 1975.
47. Pilinis, C., Derivation and numerical solution of the species mass distribution equation for multicomponent particulate systems, Atmos. Environ., 24, 1923-1928, 1990.
48. Pilinis, C., K. P. Capaldo, A. Nenes, and S. N. Pandis, MADM: A new multicomponent aerosol dynamics model, Aerosol Sci. Technol., 32, 482-502, 2000.
49. Pósfai, M., J. R. Anderson, P. R. Buseck, and H. Sievering, Soot and sulfate aerosol particles in the remote marine troposphere, J. Geophys. Res., 104, 21,685-21,693, 1999.
50. Query, M. R., Optical constants of minerals and other materials from the millimeter to the ultraviolet, CRDEC-CR-88009, Aberdeen Proving Ground, Maryland, 1987.
51. Rao, N. P., and P. H. McMurry, Nucleation and growth of aerosol in chemically reacting systems, Aerosol Sci. Technol., 11, 120-133, 1989.
52. Russell, L. M., and J. H. Seinfeld, Size- and composition-resolved externally mixed aerosol model, Aerosol Sci. Technol., 28, 403-416, 1998.
53. Sandu, A., A Newton-Cotes quadrature approach for solving the aerosol coagulation equation, Atmos. Environ., 36, 583-589, 2002.
54. Sandu, A., and C. T. Borden, A framework for the numerical treatment of aerosol dynamics, Technical Report CSTR-01-03, Dept. of Comput. Sci., Mich. Tech. Univ., Houghton, Mich., 2001.
55. Seigneur, C., A model of sulfate aerosol dynamics in atmospheric plumes, Atmos. Environ., 16, 2207-2228, 1982.
56. Silva, P. J., R. A. Carlin, and K. A. Prather, Single particle analysis of suspended soil dust from southern California, Atmos. Environ., 34, 1811-1820, 2000.
57. Smolarkiewicz, P. K., A simple positive definite advection scheme with small implicit diffusion, Mon. Weather Rev., 111, 479-486, 1983.
58. Song, C. H., and G. R. Carmichael, The aging process of naturally emitted aerosol (sea-salt and mineral aerosol) during long range transport, Atmos. Environ., 33, 2203-2218, 1999.
59. Stelson, A. W., Urban aerosol refractive index prediction by partial molar refraction approach, Environ. Sci. Technol., 24, 1676-1679, 1990.
60. Strom, J., K. Okada, and J. Heintzenberg, On the state of mixing of particles due to Brownian coagulation, J. Aerosol Sci., 23, 467-480, 1992.
61. Suck, S. H., and J. R. Brock, Evolution of atmospheric aerosol particle size distributions via Brownian coagulation: Numerical simulation, J. Aerosol Sci., 10, 581-590, 1979.
62. Sun, Q., and A. S. Wexler, Modeling urban and regional aerosols: Condensation and evaporation near acid neutrality, Atmos. Environ., 32, 3527-3531, 1998a.
63. Sun, O., and A. S. Wexler, Modeling urban and regional aerosols near neutral acidity: Application to the 24-25 June SCAQS episode, Atmos. Environ., 32, 3533-3545, 1998b.
64. Toon, O. B., and T. P. Ackerman, Algorithms for the calculation of scattering by stratified spheres, Appl. Opt., 20, 3657-3660, 1981.
65. Toon, O. B., J. B. Pollack, and B. N. Khare, The optical constants of several atmospheric aerosol species: Ammonium sulfate, aluminum oxide, and sodium chloride, J. Geophys. Res., 81, 5733-5748, 1976.
66. Toon, O. B., R. P. Turco, D. Westphal, R. Malone, and M. S. Liu, A Multidimensional model for aerosols: Description of computational analogs, J. Atmos. Sci., 42, 2123-2143, 1997.
67. Tang, I., Thermodynamic and optical properties of mixed-salt aerosols of atmospheric importance, J. Geophys. Res., 102, 1883-1893, 1997.
68. Tang, I. N., A. C. Tridico, and K. H. Fung, Thermodynamic and optical properties of sea salt aerosols, J. Geophys. Res., 102, 23,269-23,275, 1997.
69. Tsang, T. H., and J. R. Brock, Aerosol coagulation in the plume from a crosswind line source, Atmos. Environ., 16, 2229-2235, 1982.
70. Tsang, T. H., and J. R. Brock, Simulation of condensation aerosol growth by condensation and evaporation, Aerosol Sci. Technol., 5, 385-388, 1986.
71. Tsang, T. H., and L. K. Huang, On a Petrov-Galerkin finite element method for evaporation of polydisperse aerosols, Aerosol Sci. Technol., 12, 578-597, 1990.
72. Tsang, T. H., and N. Korgaonkar, Effect of evaporation on the extinction coefficient of an aerosol cloud, Aerosol Sci. Technol., 7, 317-328, 1987.
73. Trautmann, T., and C. Wanner, A fast and efficient modified sectional method for simulating multicomponent collisional kinetics, Atmos. Environ., 33, 1631-1640, 1999.
74. Turco, R. P., P. Hamill, O. B. Toon, R. C. Whitten, and C. S. Kiang, The NASA-Ames Research Center stratospheric aerosol model, I, Physical processes and computational analogs, NASA Tech. Publ. (TP) 1362, iii-94, 1979.
75. Tzivion, S., G. Feingold, and Z. Levin, An efficient numerical solution to the stochastic collection equation, J. Atmos. Sci., 44, 3139-3149, 1987.
76. Varoglu, E., and W. D. L. Finn, Finite elements incorporating characteristics for one-dimensional diffusion-convection equation, J. Comput. Phys., 34, 371-389, 1980.
77. Von Salzen, K., and K. H. Schlünzen, A prognostic physico-chemical model of secondary and marine inorganic multicomponent aerosols, I, Model description, Atmos. Environ., 33, 567-576, 1999.
78. Warren, D. R., and J. H. Seinfeld, Simulation of aerosol size distribution evolution in systems with simultaneous nucleation, condensation, and coagulation, Aerosol Sci. Technol., 4, 31-43, 1985.
79. Whitby, E. R., The model aerosol dynamics model, part I, Report to the U.S. Environmental Protection Agency, Dept. of Mech. Eng., Univ. of Minn., Minneapolis, 1985.
80. Zhang, Y., C. Seigneur, J. H. Seinfeld, M. Z. Jacobson, and F. Binkowski, Simulation of aerosol dynamics: A comparative review of algorithms used in air quality models, Aerosol Sci. Technol., 31, 487-514, 1999.