Modeling coagulation among particles of different composition and size

Jacobson, Mark Z.; Turco, R. P.; Jensen, E. J.; Toon, O. B.

doi:10.1016/1352-2310(94)90280-1

Cited by 273 publications

(203 citation statements)

References 21 publications

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“…For the coagulation process, this diffusional behavior (Figure 8a (1)) has already been discussed by Jacobson et al [1994]. For a low-resolution sectional model (e.g.…”

Section: Impact Of Particle Size Bin Numbersmentioning

confidence: 92%

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Canadian Aerosol Module: A size‐segregated simulation of atmospheric aerosol processes for climate and air quality models 1. Module development

Gong¹,

et al. 2003

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[1] A size-segregated multicomponent aerosol algorithm, the Canadian Aerosol Module (CAM), was developed for use with climate and air quality models. It includes major aerosol processes in the atmosphere: generation, hygroscopic growth, coagulation, nucleation, condensation, dry deposition/sedimentation, below-cloud scavenging, aerosol activation, a cloud module with explicit microphysical processes to treat aerosol-cloud interactions and chemical transformation of sulphur species in clear air and in clouds. The numerical solution was optimized to efficiently solve the complicated size-segregated multicomponent aerosol system and make it feasible to be included in global and regional models. An internal mixture is assumed for all types of aerosols except for soil dust and black carbon which are assumed to be externally mixed close to sources. To test the algorithm, emissions to the atmosphere of anthropogenic and natural aerosols are simulated for two aerosol types: sea salt and sulphate. A comparison was made of two numerical solutions of the aerosol algorithm: process splitting and ordinary differential equation (ODE) solver. It was found that the process-splitting method used for this model is within 15% of the more accurate ODE solution for the total sulphate mass concentration and <1% accurate for sea-salt concentration. Furthermore, it is computationally more than 100 times faster. The sensitivity of the simulated size distributions to the number of size bins was also investigated. The diffusional behavior of each individual process was quantitatively characterized by the difference in the mode radius and standard deviation of a lognormal curve fit of distributions between the approximate solution and the 96-bin reference solution. Both the number and mass size distributions were adequately predicted by a sectional model of 12 bins in many situations in the atmosphere where the sink for condensable matter on existing aerosol surface area is high enough that nucleation of new particles is negligible. Total mass concentration was adequately simulated using lower size resolution of 8 bins. However, to properly resolve nucleation mode size distributions and minimize the numerical diffusion, a sectional model of 18 size bins or greater is needed. The number of size bins is more important in resolving the nucleation mode peaks than in reducing the diffusional behavior of aerosol processes. Application of CAM in a study of the global cycling of sea-salt mass accompanies this paper [Gong et al., 2002].

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“…For the coagulation process, this diffusional behavior (Figure 8a (1)) has already been discussed by Jacobson et al [1994]. For a low-resolution sectional model (e.g.…”

Section: Impact Of Particle Size Bin Numbersmentioning

confidence: 92%

“…As a consequence, particles in bin i will move to bins of larger size. The treatment of condensational growth is handled by the same mechanism as that used by Jacobson et al [1994] to partition the volume of an intermediate particle of two coagulating particles into two model bins.…”

Section: Nucleation and Condensationmentioning

confidence: 99%

Canadian Aerosol Module: A size‐segregated simulation of atmospheric aerosol processes for climate and air quality models 1. Module development

Gong¹,

et al. 2003

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“…Numerical solutions to the coagulation equation have been derived previously for a fixed-bin representation of the particle size distribution (Jacobson et al 1994). A new formulation of the coagulation equations was necessary to describe how coagulation modifies the moving sectional size distribution used in the present study.…”

Section: Discussionmentioning

confidence: 99%

Dominant Mechanisms that Shape the Airborne Particle Size and Composition Distribution in Central California

Herner

Ying

et al. 2006

Aerosol Science and Technology

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The size and composition of ambient airborne particulate matter is reported for winter conditions at five locations in (or near) the San Joaquin Valley in central California. Two distinct types of airborne particles were identified based on diurnal patterns and size distribution similarity: hygroscopic sulfate/ammonium/nitrate particles and less hygroscopic particles composed of mostly organic carbon with smaller amounts of elemental carbon. Daytime PM 10 concentrations for sulfate/ammonium/nitrate particles were measured to be 10.1 µg m −3 , 28.3 µg m −3 , and 52.8 µg m −3 at Sacramento, Modesto and Bakersfield, California, respectively. Nighttime concentrations were 10-30% lower, suggesting that these particles are dominated by secondary production. Simulation of the data with a box model suggests that these particles were formed by the condensation of ammonia and nitric acid onto background or primary sulfate particles. These hygroscopic particles had a mass distribution peak in the accumulation mode (0.56-1.0 µm) at all times. Daytime PM 10 carbon particle concentrations were measured to be 9.5 µg m −3 , 15.1 µg m −3 , and 16.2 µg m −3 at Sacramento, Modesto, and Bakersfield, respectively. Corresponding nighttime concentrations were 200-300% higher, suggesting that these particles are dominated by primary emissions. The peak in the carbon particle mass distribution varied between 0.2-1.0 µm. Carbon particles emitted directly from combustion sources typically have a mass distribution peak diameter between 0.1-0.32 µm. Box model calculations suggest that the formation of secondary organic aerosol is negligible under cool winter conditions, and that the observed shift in the carbon particle mass distribution results from coagulation in the heavily polluted concentrations experienced during the current study. The analysis suggests that carbon particles and sulfate/ammonium/nitrate particles exist separately in the atmosphere

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“…Finally, sectional methods, as developed by Gelbard et al (1980), have become very popular in recent years. The introduction of a technique for simulating multi-component coagulation of aerosol by Jacobson and Turco (1994) represents a further development in this area. (The essence of sectional methods consists of the division of the size spectrum into a number of size groups, and later, on calculations of the quantities integrated over each size group.)…”

Section: Introductionmentioning

confidence: 99%

The moments method for multi‐modal multi‐component aerosols as applied to the coagulation‐type equation

Koziol¹,

Leighton²

2007

Quart J Royal Meteoro Soc

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ABSTRACT:The idea of self-preserving functions as solutions to a coagulation-type equation for aerosol is investigated. The aerosol spectrum is assumed to be well represented by a finite but not limited sum of self-preserving functions (modes). An original set of aerosol dynamics equations for an unlimited number of modes is formulated for self-preserving functions in the form of the log-normal distribution, gamma distribution and Laguerre expansion. Additional equations governing the composition of the aerosol are derived. The system of the obtained ordinary integro-differential equations is solved using the Runge-Kutta method with Gaussian quadratures to estimate integrals. The solutions are then successfully tested against direct high resolution numerical solutions of the coagulation-type equation. Some physical examples illustrating the use of the developed numerical method are also presented.

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Modeling coagulation among particles of different composition and size

Cited by 273 publications

References 21 publications

Canadian Aerosol Module: A size‐segregated simulation of atmospheric aerosol processes for climate and air quality models 1. Module development

Canadian Aerosol Module: A size‐segregated simulation of atmospheric aerosol processes for climate and air quality models 1. Module development

Dominant Mechanisms that Shape the Airborne Particle Size and Composition Distribution in Central California

The moments method for multi‐modal multi‐component aerosols as applied to the coagulation‐type equation

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