Mathematical investigation of mass transfer for atmospheric pollutants into a fixed droplet with aqueous chemistry

Journal of Geophysical Research: Atmospheres

Volumn 108, Issue 2, 2003, Pages

  Sportisse, Bruno ^a   Djouad, Rafik ^a  

^a UNIVERSITÉ PARIS EST   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AQUEOUS SOLUTION; ATMOSPHERIC POLLUTION; DROPLET; MASS TRANSFER; PARAMETERIZATION;

EID: 0344167636     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001jd001336     Document Type: Article

References (21)

1. Audiffren, N., M. Renard, E. Buisson, and N. Chaumerliac, Deviations from the Henry's law equilibrium during cloud events: A numerical approach of the mass transfer between phases and its specific numerical effects, Atmos. Res., 49, 139-161, 1998.
2. Coelho, D., S. Bekki, J. Thovert, and P. Adler, Uptake on fractal particles, 1, Theoretical framework, J. Geophys. Res., 105, 3905-3916, 2000.
3. Conway, E., D. Hoff, and J. Smoller, Large-time behaviour of solutions of systems of nonlinear reaction-diffusion equations, SIAM J. Appl. Math., 35(1), 1-16, 1978.
4. Cussler, E., Diffusion and Mass Transfer in Fluid System, Cambridge Univ. Press, New York, 1997.
5. Djouad, R., B. Sportisse, and N. Audiffren, Numerical simulation of aqueous-phase atmospheric models: Use of a non-autonomous Rosenbrock method, Atmos. Environ., 36, 873-879, 2002.
6. Hale, J., and C. Rocha, Varying boundary conditions with large diffusivity, J. Math. Pures Appl, 66, 139-158, 1987.
7. Herrmann, H., B. Ervens, H. Jacobi, P. Nowacki, R. Wolke, and R. Zellner, Capram 2.3: A chemical aqueous phase radical mechanism for tropospheric chemistry, J. Atmos. Chem., 36, 231-284, 2000.
8. Kumar, S., The characteristic time to achieve interfacial phase equilibrium in cloud drops, Atmos. Environ., 23, 2299-2304, 1989.
9. Lelieveld, J., and P. Crutzen, The role of clouds in tropospheric chemistry, J. Atmos. Chem., 12, 229-267, 1991.
10. Madronich, S., Photodissociation in the atmosphere, 1, Actinic flux and the effects of ground reflections and clouds, J. Geophys. Res., 992, 1987.
11. Morita, Y., H. Ninomiya, and E. Yanagida, Nonlinear perturbation of boundary values for reaction-diffusion systems: Inertial manifolds and their applications, SIAM J. Math, Anal., 25(5), 1320-1356, 1994.
12. Protter, M., and H. Weinberger, Maximum Principles in Differential Equations, Springer-Verlag, New York, 1984.
13. Prupapacher, H., and J. Klett, Microphysics of Clouds and Precipitation, Kluwer Acad., Norwell, Mass., 1998.
14. Schwartz, S., Mass-transport considerations pertinent to aqueous phase reactions of gases in liquid-water clouds, Chemistry of Multiphase Atmospheric System, NATO ASI Ser., vol. G6, Springer-Verlag, New York, 1986.
15. Seinfeld, J., Atmospheric Physics and Chemistry of Air Pollution, John Wiley, New York, 1985.
16. Shi, B., and J. Seinfeld, On mass transport limitation to the rate of reaction of gases in liquid droplets, Atmos. Environ., 25A, 2371-2383, 1991.
17. Sportisse, B., Box models versus Eulerian models in air pollution modeling, Atmos. Environ., 35, 173-178, 2001.
18. Sportisse, B., and L. Dubois, Numerical and theoretical investigation of a simplified model for the parameterization of below-cloud scavenging by falling raindrops, Atmos. Environ., 36, 5719-5727, 2002.
19. Tiedke, M., A comprehensive mass flux scheme for cumulus parameterizanon in large scale models, Mon. Weather Rev., 117, 1779-1800, 1989.
20. Vasileva, A., V. Butuzov, and L. Kalachev, The Boundary Function Method for Singular Perturbation Problems, SIAM Monographs, 1994.
21. Wild, O., X. Zhu, and M. Prather, Fast-j: Accurate simulation of in and below cloud photolysis in tropospheric chemical models, J. Atmos. Chem., 37, 245-282, 2000.