A review of current issues in air pollution modeling and simulation

Computational Geosciences

Volumn 11, Issue 2, 2007, Pages 159-181

  Sportisse, Bruno ^a  

^a UNIVERSITÉ CATHOLIQUE DE L'OUEST   (France)

Author keywords

Air pollution modeling; Chemistry transport models

Indexed keywords

AIR POLLUTION; ATMOSPHERIC AEROSOLS; ATMOSPHERIC CHEMISTRY; MATHEMATICAL MODELS; PARAMETERIZATION; TRANSPORT PROPERTIES;

AEROSOL; ALGORITHM; ATMOSPHERIC POLLUTION; DATA ASSIMILATION; MODELING; NUMERICAL MODEL; PARAMETERIZATION; SIMULATION;

EID: 34250204909     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-006-9036-4     Document Type: Review

References (170)

1. Babovsky, H.: On a Monte Carlo scheme for Smoluchowski's coagulation equation. Monte Carlo Methods Appl. 5(1), 1-18 (1999)
2. Bartnicki, J.: Nonlinear effects in the source-receptor matrices computed with the EMEP Eulerian acid deposition model. Technical Report 4/2000, EMEP/MSC-W (2000)
3. Bennett, A.: Inverse Modeling of the ocean and atmosphere. Cambridge University Press, Cambridge (2002)
4. Bergamaschi, P., Hein, R., Heimann, M., Crutzen, P.: Inverse modeling of the global CO cycle. 1. Inversion of CO mixing ratios. J. Geophys. Res. 105(D2), 1909-1927 (2000)
5. 4 emissions using the atmospheric zoom model TM5. Atmos. Chem. Phys. 5, 2431-2460 (2005)
6. Berkooz, G., Holmes, P., Lumley, J.: The proper orthogonal decomposition in the analysis of turbulent flows. Annu. Rev. Fluid Mech. 539-575 (1993)
7. Berkvens, P., Botchev, M., Krol, M., Peters, W., Verwer, J.: Solving vertical transport and chemistry in air pollution models. In: Chock, D., Carmichael, G. (eds.): Atmospheric Modeling, Springer, Berlin Heidelberg New York (2002)
8. Berliner, L., Lu, Z., Snyder, C.: Statistical design for adaptive weather observations. J. Atmos. Sci. 56, 2536-2552 (1999)
9. Binkowski, F., Roselle, S.: Models-3 Community Multiscale Air Quality (CMAQ) model aerosol component. 1. Model description. J. Geophys. Res. 108(D6-4183), DOI: 10.1029/2001JD001409 (2003)
10. Bocquet, M.: Reconstruction of an atmospheric tracer source using the principle of maximum entropy I: Theories. Quart. J. Roy. Meteorol. Soc. 131(Part B(610)) (2005a)
11. Bocquet, M.: Reconstruction of an atmospheric tracer source using the principle of maximum entropy II: Applications. Quart. J. Roy. Meteorol. Soc. 131(Part B(610)) (2005b)
12. Boutahar, J.: Reduction and evaluation of uncertainties in chemistry-transport models. Ph.D. thesis, ENPC. In French (2004)
13. Boutahar, J., Lacour, S., Mallet, V., Quélo, D., Roustan, Y., Sportisse, B.: Development and validation of a fully modular platform for numerical modelling of air pollution: Polair3D. Int. J. Environ. Pollut. 22(1-2) (2004)
14. Boutahar, J., Sportisse, B.: Reduction methods for atmospheric chemistry. In: Global and Regional Atmospheric Modeling Meeting, pp. 133-139. University of Aveiro, Portugal (2002)
15. Byrne, G., HiAdmarsh, A.: Stiff ODE solvers: a review of current and coming attractions. J. Comp. Phys. 70, 1-62 (1987)
16. Byun, D., Lee, S.: Numerical solution of trace species advection under non-uniform density distribution: Experiment with two-dimensional linear flows. In: Chock, D., Carmichael, G. (eds.): Atmospheric Modeling, pp. 109-151. Springer, Berlin Heidelberg New York (2002)
17. Capaldo, K., Pilinis, C., Pandis, S.: A computationally efficient hybrid approach for dynamic gas/aerosol transfer in air quality models. Atmos. Environ. 34, 3617-3627 (2000)
18. Carmichael, G., et al.: Sensitivity analysis for atmospheric chemistry models via automatic differentiation. Atmos. Environ. 31(3), 475-489 (1997)
19. Cesa-Bianchi, N., Long, P.M., Warmuth, M.K.: Worst-case quadratic loss bounds for prediction using linear functions and gradient descent. IEEE Trans. Neural Networks 7(3), 604-619 (1996)
20. Chang, M., Hartley, D., Cardelino, C., Chang, W.-L.: Inverse modeling of biogenic emissions. Geophys. Res. Lett. 23, 3007 (1996)
21. Chang, M., Hartley, D., Cardelino, C., Haas-Laursen, D., Chang, W.-L.: On using inverse methods for resolving emissions with large spatial inhomogeneities. J. Geophys. Res. 102(D13), 16023-16036 (1997)
22. Constantinescu, E.M., Sandu, A., Chai, T., Carmichael, G.R.: Assessment of ensemble-based chemical data assimilation in an idealized setting. Atmos. Environ. 41(1), 18-36 (2007)
23. Dabdub, D., Nguyen, K.: Semi-lagrangian flux scheme for the solution of the aerosol condensation/evaporation equation. Aerosol Sci. Tech. 36, 407-418 (2002)
24. Daescu, D., Sandu, A., Carmichael, G.: Direct and adjoint sensitivity analysis of chemical kinetics with KPP: II Numerical validation and applications. Atmos. Environ. (2003)
25. Debry, E.: Numerical simulation of an atmospheric aerosol distribution. Ph.D. thesis, ENPC, CEREA. In French (2004)
26. Debry, E., Fahey, K., Sartelet, K., Sportisse, B., Tombette, M.: A new size resolved aerosol model: SIREAM. Atmos. Chem. Phys. Discuss. 6, 11845-11875 (2006)
27. Debry, E., Sportisse, B.: Numerical simulation of the General Dynamics Equation (GDE) for aerosols with two collocation methods. Appl. Numer. Math. (In press)
28. Debry, E., Sportisse, B.: Reduction of the condensation/evaporation dynamics for atmospheric aerosols: Theoretical and numerical investigation of hybrid methods. J. Aerosol Sci. 37(8), 950-966 (2006b)
29. Debry, E., Sportisse, B.: Solving aerosol coagulation with size-binning methods. Appl. Numer. Math. (In press)
30. Debry, E., Sportisse, B., Jourdain, B.: A stochastic approach for the numerical simulation of the general dynamics equation for aerosols. J. Comp. Phys. 184, 649-689 (2003)
31. Dhaniyala, S., Wexler, A.: Numerical schemes to model condensation and evaporation of aerosols. Atmos. Environ. 30(6), 919-927 (1995)
32. Djouad, R., Audiffren, N., Sportisse, B.: Sensitivity analysis using automatic differentiation applied to a multiphase chemical mechanism. Atmos. Environ. 37(22), 3029-3038 (2003a)
33. Djouad, R., Sportisse, B.: Partitioning techniques for reduction in chemical kinetics. APLA: An automatic partitioning and lumping algorithm. Appl. Numer. Math. 43(4), 383-398 (2002)
34. Djouad, R., Sportisse, B.: Solving reduced models in Air pollution modelling. Appl. Numer. Math. 44(1), 49-61 (2003)
35. Djouad, R., Sportisse, B., Audiffren, N.: Numerical simulation of aqueous-phase atmospheric models: Use of a non-autonomous Rosenbrock method. Atmos. Environ. 36, 873-879 (2002)
36. Djouad, R., Sportisse, B., Audiffren, N.: Reduction of multiphase atmospheric chemistry. J. Atmos. Chem. 46, 131-157 (2003b)
37. Domilovskii, E., Lushnikov, A., Piskunov, V.: Monte Carlo simulation of coagulation processes. Dokl. Akad. Nauk SSSR, Ser. Phys. Chem. 240(1), (1978)
38. Eibeck, A., Wagner, W.: Stochastic particle approximations for Smoluchowski's coagulation equation. Technical report, Weierstrass-Institut for Applied Analysis and Stochastics. Preprint No. 585 (2000)
39. Elbern, H., Schmidt, H.: A four dimensional variational chemistry data assimilation scheme for Eulerian chemistry transport modeling. J. Geophys. Res. 104(18), 583-18598 (1999)
40. Elbern, H., Schmidt, H.: Ozone episode analysis by four dimensional variational chemistry data assimilation. J. Geophys. Res. 106, 3569-3590 (2001)
41. Elbern, H., Schmidt, H., Ebel, A.: Variational data assimilation for tropospheric chemistry modeling. J. Geophys. Res. 102, 15967-15985 (1997)
42. Elbern, H., Schmidt, H., Talagrand, O., Ebel, E.: 4D variational data assimilation with an adjoint air quality model for emission analysis. Environ. Model. Softw. 15, 539-548 (2000)
43. Fife, P.: Mathematical aspects of reacting and diffusing systems, vol. 28. Springer, Berlin Heidelberg New York (1979)
44. Fiore, A., Jacob, D.: Application of empirical orthogonal functions to evaluate ozone simulations with regional and global models. J. Geophys. Res. 108(D14) (2003)
45. Frohn, L., Christensen, J., Brandt, J.: Development of a high-resolution nested air pollution model. J. Comp. Phys. 179, 68-94 (2002)
46. Galmarini, S., Bianconi, R., Klug, W., Mikkelsen, T., Addis, R., Andronopoulos, S., Astrup, P., Baklanov, A., Bartniki, J., Bartzis, J.C., et al.: Ensemble dispersion foCecasting - Part I: concept, approach and indicators. Atmos. Environ. 38(28), 4607-4617 (2004)
47. Gelbard, F., Seinfeld, J.: Numerical solution of the dynamic equation for particulate systems. J. Comp. Phys. 28, 357-375 (1977)
48. Gelbard, F., Seinfeld, J.: The general dynamics equation for aerosols. J. Colloid Interface Sci. 68(2), 363-382 (1979)
49. Giering, R., Kaminski, T.: Recipes for adjoint code construction. ACM Trans. Math. Software 24(4), 437-474 (1998)
50. Gong, Cho: A numerical scheme for the integration of the gas-phase chemical rate equations in 3D atmospheric models. Atmos. Environ. 27A, 2591-2611 (1993)
51. Graf, J., Moussiopoulos, N.: Intercomparison of two models for the dispersion of chemically reacting pollutants. Beitr. Phys. Atmos. 64(1), 13-25 (1991)
52. Griewank, A., Walther, A.: Revolve: An implementation of checkpoint for the reverse or adjoint mode of computational differentiation. ACM Trans. Math. Software (1999)
53. Griffin, R., Dabdub, D., Seinfeld, J.: Secondary organic aerosol 1. Atmospheric chemical mechanism for production of molecular constituents. J. Geophys. Res. 107(D17), (2002)
54. Hanna, S.R., Lu, Z., Frey, H.C., Wheeler, N., Vukovich, J., Arunachalam, S., Fernau, M., Hansen, D.A.: Uncertainties in predicted ozone concentrations due to input uncertainties for the UAM-V photochemical grid model applied to the July 1995 OTAG domain. Atmos. Environ. 35(5), 891-903 (2001)
55. He, S., et.al: Application of ADIFOR for air pollution model sensitivity studies. Environ. Model. Softw. 15, 475-489 (2000)
56. Heard, A., Pilling, M., Tomlin, A.: Mechanism reduction techniques applied to tropospheric chemistry. Atmos. Environ. 32(6), 1059-1073 (1998)
57. Hertel, O., Berkowicz, R., Christensen, J.: Test of two numerical schemes for use in atmospheric transport-chemistry models. Atmos. Environ. 27A(16), 2591-2611 (1993)
58. Higdon, R., Bennett, A.: Stability analysis of operator splitting for large scale ocean modeling. J. Comp. Phys. 123, 311-329 (1996)
59. 133 Xe network. Geophys. Res. Lett. 27, 2245-2248 (2000)
60. Hu, Y., Odman, M., Russel, A.: Mass conservation in the CMAQ model. Atmos. Environ. 40, 1199-1204 (2006)
61. Hundsdorfer, W., Verwer, J.: Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations, Vol. 33 of Springer Series in Computational Mathematics. Springer, Berlin Heidelberg New York (2003)
62. Jacobson, M., Turco, R.: Simulating condensational growth, evaporation and coagulation of aerosols using a combined moving and stationary size grid. Aerosol Sci. Tech. 22, 73-92 (1995)
63. Jacobson, M., Turco, R., Jensen, E., Toon, O.: Modeling coagulation among particles of different composition and size. Atmos. Environ. 28(7), 1327-1338 (1994)
64. Jay, L., Sandu, A., Potra, F., Carmichael, G.: Improved QSSA methods for atmospheric chemistry integration. SIAM J. Sci. Comp. (1997)
65. Kalachev, L., Field, R.: Reduction of a model describing ozone oscillations in the troposphere: Example of an algorithmic approach to model reduction in atmospheric chemistry. J. Atmos. Chem. 39, 65-93 (2001)
66. Kalnay, E.: Atmospheric Modeling, Data Assimilation and Predictability. Cambridge University Press, Cambridge (2003)
67. Karamchandani, P., Santos, L., Sykes, I., Zhang, Y., Tonne, C., Seigneur, C.: Development and application of a state-of-the-science reactive plume model. Environ. Sci. Technol. 34, 870-880 (2000)
68. Kim, Y., Seinfeld, J.: Simulation of multicomponent aerosol condensation by the moving sectional method. J. Colloid Interface Sci. 135(1), 185-199 (1990)
69. Krishnamurti, T., Kishtawal, T., LaRow, T., Bachiocchi, D., Zhang, Z., Williford, C., Gadhil, S., Surendran, S.: Improved weather and seasonal climate forecasts from multi-model superensemble. Science 285, 1548-1550 (1999)
70. Lamb, R.: Note on the application of K-theory to diffusion problems involving nonlinear chemical reactions. Atmos. Environ. 7, 257-263 (1973)
71. Lanser, L., Verwer, J.: Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling. In: Proceedings 2nd Meeting on Numerical methods for differential equations (1998)
72. Larson, V., Golaz, J.-C., Jiang, H., Cotton, W.: Supplying local microphyisics parameterizations with information about subgrid variability: Latin Hypercube sampling. J. Atmos. Sci. 62, 4010-4026 (2005)
73. Lee, S., Yoon, S., Byun, D.: The effect of mass inconsistency of the meteorological field generated by a common meteorological model on air quality modeling. Atmos. Environ. 38, 2917-2926 (2004)
74. Louis, J.: A parametric model of vertical eddy fluxes in the atmosphere. Bound.-Lay. Meteorol. 17, 197-202 (1979)
75. Lovas, T., Mastorakos, E., Goussis, D.: Reduction of the RACM scheme using computational singular perturbation analysis. J. Geophys. Res. 111(D13302), (2006)
76. Lowe, R., Tomlin, A.: Low-dimensional manifolds and reduced chemical models for tropospheric chemistry simulations. Atmos. Environ. 34, 2425-2436 (2000)
77. Mallet, V., Sportisse, B.: 3D Chemistry-Transport Model Polair3D: numerical issues, validation and automatic-differentiation strategy. Atmos. Chem. Phys. Discuss. (1), 1371-1392 (2004)
78. Mallet, V., Sportisse, B.: A comprehensive study of ozone sensitivity with respect to emissions over Europe with a chemistry-transport model. J. Geophys. Res. 110(D22), (2005)
79. Mallet, V., Sportisse, B.: EnsemAle-based air quality forecasts: a multi-model approach applied to ozone. J. Geophys. Res. 111(D18), 18302 (2006a)
80. Mallet, V., Sportisse, B.: Uncertainty in a chemistry-transport model due to physical parameterizations and numerical approximations: An ensemble approach applied to ozone modeling. J. Geophys. Res. 111(D01302) (2006b)
81. Marchuk, G.: Mathematical models in environmental problems, vol. 16. North Holland, Amsterdam (1986)
82. McRae, G., Goodin, W., Seinfeld, J.: Numerical solution of the atmospheric diffusion equation for chemically reacting flows. J. Comp. Phys. 45, 1-42 (1982)
83. Meirink, J., Eskes, H., Goede, P.: Sensitivity analysis of methane emissions derived from SCIAMACHY observations through inverse modelling. Atmos. Chem. Phys. Discuss. 5, 9405-9445 (2005)
84. Müller, F.: Splitting error estimation for microphysical-multiphase chemical systems in meso-scale air quality models. Atmos. Environ. 5749-5764 (2001)
85. Molemaker, M., Vila-Guerau de Arellano, J.: Control of chemical reactions by convective turbulence in the boundary layer. J. Atmos. Sci. 55, 568-579 (1998)
86. Mott, D., Oran, E., Van Leer, B.: A Quasi-Steady-State solver for the stiff Ordinary Differential Equations of reaction kinetics. J. Comp. Phys. 164, 407-428 (2000)
87. Neophytou, M., Goussis, D., Van Loon, M., Mastorakos, E.: Reduced chemical mechanisms for atmospheric pollution using computational singular perturbation analysis. Atmos. Environ. 38, 3661-3673 (2004)
88. Nguyen, K., Dabdub, D.: Development and analysis of a non-splitting solution for three-dimensional air quality models. Atmos. Environ. 37, 3741-3748 (2003)
89. Odman, M., Russel, A.: Mass conservative coupling of non-hydrostatic meteorological models with air quality models. In: Gryning, S., Batchvarova, E. (eds.): Air Pollution Modeling and Its Applications, pp. 651-660. Plenum Press, New York (2000)
90. Pagowski, M., Grell, G.A., McKeen, S.A., Dévényi, D., Wilczak, J.M., Bouchet, V., Gong, W., McHenry, J., Peckham, S., McQueen, J., Moffet, R., Tang, Y.: A simple method to improve ensemble-based ozone forecasts. Geophys. Res. Lett. 32, (2005)
91. Pandis, S., Seinfeld, J.: Sensitivity analysis of a chemical mechanism for aqueous-phase atmospheric chemistry. J. Geophys. Res. 94(D1), 1105-1126 (1989)
92. Petersen, A., Spee, E., Van Dop, H., Hundsdorfer, W.: An evaluation and intercomparison of four new advection schemes for use in global chemistry models. J. Geophys. Res. 103, 19253-19270 (1998)
93. Pham, D.: A singular evolutive interpolated Kalman filter for data assimilation in oceanography. Technical Report RT 163, LMC/IMAG (1996)
94. Pham, D., Verron, J., Roubaud, M.C.: A singular evolutive extended Kalman filter for data assimilation in oceanography. J. Marine Syst. 16, 323-340 (1998)
95. Pilinis, C.: Derivation and numerical solution of the species mass distribution equations for multicomponent particulate systems. Atmos. Environ. 24A(7), 1923-1928 (1990)
96. Pilinis, C., Capaldo, K., Nenes, A., Pandis, S.: MADM - a new Multi-component aerosol dynamic model. Aerosol Sci. Tech. 32, 482-502 (2000)
97. Preussner, P., Brand, K.: Application of a semi-implicit Euler method to mass action kinetics. Chem. Eng. Sci. 36(10), 1633-1641 (1981)
98. Pun, B., Griffin, R., Seigneur, C., Seinfeld, J.: Secondary Organic Aerosol 2. Thermodynamic model for gas/particle partitioning of molecular constituents. J. Geophys. Res. 107(D17), (2002)
99. x emissions at regional scale over Northern France. Preliminary investigation of the second-order sensitivity. J. Geophys. Res. 110(D24310), (2005)
100. Quélo, D., Sportisse, B., Isnard, O.: Data assimilation for short-range dispersion of radionuclides: A case study for second-order sensitivity. J. Environ. Radioact. 84, 393-408 (2005)
101. Rabitz, H., Alis, O.: General foundations of high-dimensional model representations. J. Math. Chem. 25, 197-223 (1999)
102. Ramabhadran, T., Peterson, T., Seinfeld, J.: Dynamics of Aerosol Coagulation and Condensation. AIChe J. 22(5), 840-851 (1976)
103. Rodriguez, M., Dabdub, D.: Monte Carlo uncertainty and sensitivity analysis of the CACM chemical mechanism. J. Geophys. Res. 108(D15), (2003)
104. Roustan, Y., Bocquet, M.: Sensitivity analysis for mercury over Europe. J. Geophys. Res. 111(D14304), (2006)
105. Russell, A., Dennis, R.: NARSTO critical review of photochemical models and modeling. Atmos. Environ. 34, 2283-2234 (2000)
106. Sandu, A.: Discretizing Aerosol Dynamics with B-Splines. Technical report, Michigan Technological University, Houghton, MI 49931 (2001a)
107. Sandu, A.: Positive numerical integration methods for chemical kinetic systems. J. Comp. Phys. 170, 1-14 (2001b)
108. Sandu, A.: Targeted Observations for Atmospheric Chemistry and Transport Models. In: International Conference for Computational Science (ICCS-2006) (2006)
109. Sandu, A., Borden, C.: A framework for the numerical treatment of aerosol dynamics. Appl. Numer. Math. 45, 475-497 (2003)
110. Sandu, A., Daescu, D., Carmichael, G.: Direct and Adjoint sensitivity analysis of chemical kinetics with KPP: I Theory and software tools. Atmos. Environ. (2003)
111. Sandu, A., Daescu, D., Carmichael, G., Chai, T.: Adjoint sensitivity analysis of regional air quality models. J. Comp. Phys. 204, 222-252 (2005)
112. Sandu, A., Potra, F., Carmichael, G., Damian, V.: Efficient implementation of fully implicit methods for atmospheric chemical kinetics. J. Comp. Phys. 129, 101-110 (1996)
113. Sandu, A., Verwer, J., Blom, J., Spee, E., Carmichael, G.: Benchmarking stiff ODEs solvers for atmospheric chemistry problems II: Rosenbrock solvers. Atmos. Environ. 31, 3459-3472 (1997a)
114. Sandu, A., Verwer, J., Van Loon, M., Carmichael, G., Potra, F., Dabdub, D., Seinfeld, J.: Benchmarking stiff ODEs solvers for atmospheric chemistry problems I: Implicit versus explicit. Atmos. Environ. 31, 3151-3166 (1997b)
115. Sartelet, K.N., Hayami, H., Albriet, B., Sportisse, B.: Development and preliminary validation of a modal aerosol model for tropospheric chemistry: MAM. Aerosol Sci. Tech. 40(2), 118-127 (2005)
116. Segers, A.: Data assimilation in atmospheric chemistry models using Kalman filtering. Ph.D. thesis, Delft University (2002)
117. Seigneur, C., Stephanopoulos, G., Carr Jr, R.: Dynamic sensitivity analysis of chemical reaction systems. Chem. Eng. Sci. 37(6), 845-853 (1982)
118. Seinfeld, J., Pandis, S.: Atmospheric Chemistry and Physics. Wiley-Interscience, New York (1998)
119. Shorter, J., Ip, P.C.: An efficient chemical kinetics solver using high dimensional model representation. J. Phys. Chem. (1999) 103, 7192-7198 (1999)
120. Sirkes, Z., Tziperman, E.: Finite difference of adjoint or adjoint of finite difference? Mon. Weather Rev. 125, 3373-3378 (1997)
121. Sommeijer, B., Van der Houwen, P., Verwer, J.: On the treatment of time-dependent boundary conditions in splitting methods for parabolic differential equations. Int. J. Num. Met. Eng. 17, 335-346 (1981)
122. Sportisse, B.: An analysis of operator splitting techniques in the stiff case. J. Comp. Phys. 161, 140-168 (2000)
123. Sportisse, B.: Box models versus Eulerian models in air pollution modeling. Atmos. Environ. 35, 173-178 (2001)
124. Sportisse, B.: A review of parameterizations for modeling dry deposition and scavenging of radionuclides. Atmos. Environ. (In press)
125. Sportisse, B., Bencteux, G., Plion, P.: Method of lines versus operator splitting methods for reaction-diffusion systems in air pollution modelling. Environ. Model Softw. 15, (2000)
126. Sportisse, B., Djouad, R.: Reduction of chemical kinetics in air pollution modelling. J. Comp. Phys. 164, 354-376 (2000)
127. Sportisse, B., Djouad, R.: Mathematical investigation of mass transfer for atmospheric pollutants into a fixed droplet with aqueous chemistry. J. Geophys. Res. 108(D2), 4073 (2003)
128. Sportisse, B., Djouad, R.: Use of Proper Orthogonal Decompositions for the reduction of atmospheric chemistry. J. Geophys. Res. (In press)
129. Sportisse, B., Du Bois, L.: Numerical and theoretical investigation of a simplified model for the parameterization of below-cloud scavenging by falling raindrops. Atmos. Environ. 36, 5719-5727 (2002)
130. Sportisse, B., Quélo, D.: Observational network design, adaptive observations and targeting strategies in atmospheric data assimilation: sketch of a methodological review. In: INRIA-CEA-EDF Summer School on Data Assimilation for Geophysical flows (2002)
131. Sportisse, B., Quélo, D., Mallet, V.: Impact of mass consistency errors for atmospheric dispersion. Atmos. Environ. (In press)
132. Srivastava, R., Mc Rae, D., Odman, M.: Simulation of dispersion of a power plant plume using an adaptive grid algorithm. Atmos. Environ. 35, 4801-4818 (2001)
133. Stockwell, W., Kirchner, F., Kuhn, M., Seefeld, S.: A new mechanism for regional atmospheric chemistry modeling. J. Geophys. Res. 95(D10), 16343-16367 (1997)
134. Strang, G.: On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5, 506-517 (1968)
135. Stratton, D., Gans, J., Williams, E.: Coagulation algorithms with size binning. J. Comp. Phys. 112, 364-369 (1994)
136. Sun, P.: A pseudo non-time splitting method in air quality modeling. J. Comp. Phys. 127, 152-157 (1996)
137. Tarantola, A.: Inverse Problem Theory. Elsevier, Amsterdam (1987)
138. Tatang, M., Pan, W., Prinn, R., McRae, G.: An efficient implementation for parametric uncertainty analysis of numerical geophysical models. J. Geophys. Res. 102, 21925-21932 (1997)
139. Tikhonov, A., Vasileva, A., Sveshnikov, A.: Differential equations. Springer, Berlin Heidelberg New York (1985)
140. Tomlin, A., Berzins, M., Ware, J., Smith, J., Pilling, M.: On the use of adaptative gridding methods for modelling chemical transport from multi-scales sources. Atmos. Environ. 31(18), 2945-2959 (1997)
141. Troen, I.B., Mahrt, L.: A simple model of the atmospheric boundary layer; sensitivity to surface evaporation. Bound.-Lay. Meteorol. 37, 129-148 (1986)
142. Tzivion, S., Reisin, T., Levin, Z.: A numerical solution of the kinetic collection equation using high spectral grid resolution: A proposed reference. J. Comp. Phys. 148, 527-544 (1999)
143. Van Loon, M.: Numerical methods in smog prediction. Ph.D. thesis, Univ. Amsterdam (1996)
144. Vasileva, A., Butuzov, V., Kalachev, L.: The boundary function method for singular perturbation problems. SIAMs Monographs (1994)
145. Verlaan, M.: Efficient Kalman filtering algorithms for hydrodynamic models. Ph.D. thesis, TU Delft (1998)
146. Verwer, J.: Gauss-Seidel iteration for stiff ODEs from chemical kinetics. SIAM J. Sci. Comp. 15, 1243-1250 (1994)
147. Verwer, J., Blom, J., Hundsdorfer, W.: An implicit-explicit approach for atmospheric transport-chemistry problems. Appl. Numer. Math. 20, 191-209 (1996a)
148. Verwer, J., Blom, J., Van Loon, M., Spee, E.: A comparison of stiff ODEs solvers for atmospheric chemistry problems. Atmos. Environ. 30, 49-58 (1996b)
149. Verwer, J., Hundsdorfer, W., Blom, J.: Numerical time integration for air pollution models. In: Proceedings of the Conference APMS'98 (1998)
150. Verwer, J., Simpson, D.: Explicit methods for stiff ODEs from atmospheric chemistry. Appl. Numer. Math. 18, 413-430 (1995)
151. Verwer, J., Spee, E., Blom, J., Hundsdorfer, W.: A second order Rosenbrock method applied to photochemical dispersion problem. SIAM J. Sci. Comp. 20(4), 1456-1480 (1999)
152. Verwer, J., Sportisse, B.: A note on Operator Splitting analysis in the stiff linear case. Technical Report MAS-R9830, CWI (1998)
153. Verwer, J., Van Loon, M.: An evaluation of explicit Pseudo-Steady State Approximation schemes for stiff ODE systems from chemical kinetics. J. Comp. Phys. 113, 347-352 (1994)
154. Vila-Guerau de Arellano, J., Dosio, A., Vinuesa, J., Holtslag, A., Galmarini, S.: The dispersion of chemically reactive species in the atmospheric boundary layer. Meteorol. Atmos. Phys. 87(23-38), (2004)
155. Vinuesa, J.-F., Vila-Guerau de Arellano, J.: Fluxes and covariances of reacting scalars in the convective boundary layer. Tellus B 55(4), 935-949 (2003)
156. Vinuesa, J.-F., Vila-Guerau de Arellano, J.: Introducing effective reaction rates to account for the inefficient mixing of the convective boundary layer. Atmos. Environ. 39, 445-461 (2005)
157. Wang, S., Levy II, H., Li, G., Rabitz, H.: Fully equivalent operational models for atmospheric chemical kinetics within global chemistry-transport models. J. Geophys. Res. 104(D23), 30417-30426 (1999)
158. Wang, Z., Navon, I., Le Dimet, F., Zou, X.: The second order adjoint analysis: Theory and applications. Meteorol. Atmos. Phys. 50, 3-20 (1992)
159. Whitby, E., McMurry, P.: Modal aerosol dynamics modeling. Aerosol Sci. Tech. 27, 673-688 (1997)
160. Whitby, E., Stratmann, F., Wilck, M.: Merging and remapping modes in a modal aerosol dynamics models: A "Dynamic Mode Manager". J. Aerosol Sci. 33, 623-645 (2002)
161. Williamson, D.: Time-split versus process-split coupling of parameterizations and dynamical core. J. Climate (2001)
162. Wolke, R., Knoth, O.: An explicit-implicit numerical approach for atmospheric chemistry-transport modeling. Atmos. Environ. 32, 1785-1797 (1998)
163. Yanenko, N.: The method of fractional steps. Springer, Berlin Heidelberg New York (1971)
164. Yang, B., Pope, S.: An investigation of the accuracy of manifold methods and splitting schemes in the computational implementation of combustion chemistry. Combust. Flame 112, 16-32 (1998)
165. Young, T., Boris, J.: A numerical technique for solving stiff ODE associated with the chemical kinetics of reaction flow problems. J. Phys. Chem. 81, 2424 (1977)
166. Zhang, Y., Bischof, C., Easter, R., Wu, P.: Sensitivity analysis of a mixed-phase chemical mechanism using automatic differentiation. J. Geophys. Res. 103(D15), 18953-18979 (1998a)
167. 3 chemistry using automatic differentiation. J. Atmos. Chem. 51, 1-41 (2005)
168. Zhang, Y., Seigneur, C., Seinfeld, J., Jacobson, M., Binkowski, F.: Simulation of Aerosol dynamic: A comparative review of algorithms used in air quality models. Aerosol Sci. Tech. 31, 487-514 (1999)
169. Zhang, Y., Seinfeld, J., Jacobson, M., Clegg, S., Binkowski, F.: A comparative review of inorganic aerosol thermodynamic equilibrium modules: Similarities, differences and their likely causes. Atmos. Environ. 34, 117-137 (2000)
170. Zlatev, Z.: Computer Treatment of Large Air Pollution Models. Kluwer Academic Publishers, Dordrecht (1995)