Comparing Modal and Sectional Approaches in Modeling Particulate Matter in Northern California

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Comparing Modal and Sectional Approaches in Modeling Particulate Matter in Northern California K. Max Zhang* [1], Jinyou Liang [2], Anthony S. Wexler [1], and Ajith Kaduwela [1,2] 1. University of California, Davis, CA, USA 2. Air Resources Board, California Environmental Protection Agency, Sacramento, CA, USA 1. MODEL AND EPISODE DESCRIPTIONS 1.1. Modified The Community Multiscale Air Quality () Model released by US EPA uses three log-normal modes to represent particle size distributions. The gas-particle partitioning of organic and inorganic components of PM is treated as in bulk thermodynamic equilibrium, which enables the aerosol module to run relatively fast, but could result in positive bias towards the particulate phase (Zhang et al., 2). The USEPA model was improved previously to incorporate more California specific information and minor bug fixes (Liang and Kaduwela, 2). 1.2. The Community Multiscale Air Quality Model with the UC-Davis Aerosol Module () uses Models-3/ as the host gas-phase model and incorporates a mechanistic, fully dynamic, internally-mixed, sectional aerosol module, which evolved from the Aerosol Inorganic Model and related work (Wexler and Seinfeld, 199; Wexler et al., 1994; Potukuchi and Wexler, 199ab; Sun and Wexler, 1998ab). uses nine discrete size bins, with Stoke s diameter ranging from.4 micron to 2 micron. - UCD employs three gas-to-particle transport schemes, Replacement, Coupled and Uncoupled transport, as appropriate, avoiding substantial numerical stiffness due to rapid ph changes. It adopts a simplified aerosol thermodynamics scheme, able to predict particle phase states and water contents quickly and reasonably. The integration is accomplished using a computationally efficient asynchronous timestepping (ATS) method, where particles in different sizes integrate with different time scales (Zhang and Wexler, 2ab). Model improvements made previously to the USEPA * Corresponding author: K. Max Zhang, Mechanical and Aeronautical Engineering, University of California, Davis, CA 9616; e-mail: maxzhang@ucdavis.edu. model (Liang and Kaduwela, 2) were also implemented in. 1.3. CRPAQS Domain and Model Episode An extended winter PM episode (December 2, 2-January 7, 21) was captured in the San Joaquin Valley during the California Regional PM1/PM2. Air Quality Study (CRPAQS). The model period contains eight additional days, from December 17 2 to December 24 2, to allow for spin-up. The model domain, which was designed to include central and northern California, extends from the northern Sacramento Valley to the Tehachapi Mountains, and from the Pacific Ocean to the southeast desert. The model contains 18 18 horizontal grid of 4km 4km size, and 1 expanding vertical layers (Liang and Kaduwela, 2). We inter-compare the model results for the concentrations of gaseous species and PM2. compositions at core stations and over the model domain. This paper mainly presents the comparisons at three anchor sites, namely, Angiola (ANGI), Bakersfield (BAC) and Fresno (FSF). ANGI is a rural site; BAC and FSF are two urban sites. Note the all concentrations presented in this paper are daily averaged values. 2. GAS-PHASE SPECIES Figures 1 and 2 compare major gas-phase species concentrations (CO, SO 2, NO, NO 2, O 3, NH 3 and HNO 3 ) at site BAC between and. The concentrations of less reactive species such as CO and SO 2 from two models are almost identical, while agreements for more reactive species such NO, NO 2 and O 3 are less perfect, but still excellent. These results are expected since both models use the same advection, diffusion and gas-chemistry mechanisms. It is interesting to make a peer-to-peer comparison between the NH 3 and HNO 3, the two soluble gas-phase species. First, the modeled NH 3 1

concentrations are about two magnitudes higher than HNO 3 concentrations. Second, while the agreement between NH 3 is excellent, there are large discrepancies in HNO 3 concentrations between the two models. Due to the considerable amount of ammonia emission from animal operations in the San Joaquin Valley, NH 3 was in excess during the CRPAQS episode, so condensation of NH 3 and HNO 3 to form ammonium nitrate (NH 4 NO 3 ) was limited by the avilability of HNO 3. As a result, most HNO 3 partitioned into the particle phase, leaving only trace amount in the gas phase. Since the absolute values of HNO 3 concentrations are very low, relative errors are large but absolute errors are small. Results for Fresno and Bakersfield are similar so we will only show results for Bakersfield as our characteristic urban site. Since ANGI is a rural site, primary gas-phase species, such as NO and NO 2, were transported from urban areas. Since discrepancies between the two models could accumulate during transport process, the agreements at ANGI are generally not as good as those at the two urban sites. Nevertheless, as shown in Figure 3, the two models still closely match each other. 2. 1. 1.. BAC: CO (ppm) y = 1.43x -.9 6.E-3 4.E-3 2.E-3 BAC: SO2 (ppm) y = 1.87x - 2E-.1.1. BAC: O3 (ppm) y =.937x -.1 R 2 =.9989....1.1 Figure 1. Concentrations of gas-phase species, CO, SO 2, NO, NO 2 and O 3, at site BAC in vs...2.1.1. BAC: NH3 (ppm) y = 1.28x + 9E- R 2 =.99....1.1.2 8.E-4 6.E-4 4.E-4 2.E-4 BAC: HNO3 (ppm).e+.e+ 2.E-4 4.E-4 6.E-4 8.E-4 Figure 2. Concentrations of NH 3 and HNO 3 at site BAC in vs...3.2.1 ANGI: NO2 y =.934x +. R 2 =.9748...1.2.3.3.2.1 ANGI: O3 (ppm) y = 1.642x -.21 R 2 =.978...1.2.3... 1. 1. 2..E+.E+ 2.E-3 4.E-3 6.E-3 ANGI: NO2 ANGI: HNO3.3 8.E-4.4.3 BAC: NO (ppm) y = 1.137x -.16.1.7 BAC: NO2 (ppm) y =.966x -.3 R 2 =.99.2.1 y =.934x +. R 2 =.9748 6.E-4 4.E-4 2.E-4.2.1..2...1.2.3.E+.E+ 2.E- 4.E- 6.E- 8.E-...1.2.3.4...2..7.1 Figure 3. Concentrations of NO 2, O3, NH 3 and HNO 3 at site ANGI in vs.. 3. PRIMARY PARTICULATE SPECIES Next, we compare the particulate-phase species, first evaluating the primary species and then the secondary species. During the CRPAQS 2

2-21 winter episode, photochemical activity was relatively weak and the formation of secondary organic aerosols was negligible. Therefore, the organic compositions were dominated by primary organic emissions. OC and EC are two major primary particulate species. Although sulfate is not a primary species, its vapor pressure is so low that it is partitioned completely to the particle phase. Figure 4 depicts excellent agreements for these three species between the two models at BAC, similar to the agreements at FSF and ANGI (not shown). 8 6 4 2 1. 1... BAC: EC (µg m-3) y =.988x +.17 R 2 =.999 2 4 6 8 BAC: SO4 (µg m-3) y =.9433x +.162 R 2 =.9992.. 1. 1. 4 3 2 1 BAC: OC (µ g m -3 ) y =.977x +.311 R 2 =.9997 1 2 3 4 Figure 4. Concentrations of two PM2. primary components (OC and EC) and SO 4 at site BAC in vs.. equilibrium is sometimes limited by gas-particle transport, especially when surface area loading is low. In contrast, assumes equilibrium under all conditions. In contrast to the two urban sites, at ANGI predicted slightly higher NH4 and NO3 than, likely due to the transport nature in this rural site. 1 1 BAC: NH4 (µg m-3) y =.97x +.129 R 2 =.961 1 1 4 3 2 1 BAC: NO3 (µg m-3) y =.9628x +.2884 R 2 =.971 1 2 3 4 Figure. Concentrations of PM2. NH 4 and NO 3 at site BAC in vs.. 1 1 FSF: NH3 (µg m-3) y =.927x R 2 =.837 1 1 4 3 2 1 FSF: NO3 (µg m-3) y =.932x R 2 =.8222 1 2 3 4 Figure 6. Concentrations of PM2. NH 4 and NO 3 at site FSF in vs.. 4. SECONDAY PARTICULATE SPECIES Modeling secondary species is one of the most challenging tasks for aerosol models. Nitrate is the most complicated species to model since it is affected by photochemistry, heterogeneous chemistry, and aerosol thermodynamics. During this episode, ammonium nitrate was the dominant component of PM2., and modeling results suggest the heterogeneous formation via N 2 O to be the major formation pathway. Figures to 7 illustrate the comparisons of NH 4 and NO 3 in PM2. at the three anchor sites. The agreements are very good. systematically predicts lower NH 4 and NO 3 than does, mainly because employs dynamic partitioning between the gas phase and particle phase. In this approach, 1 1 ANGI: NH4 (µg m-3) y = 1.73x R 2 =.77 1 1 4 3 2 1 y = 1.11x R 2 =.81 ANGI: NO3 (µg m-3) 1 2 3 4 Figure 7. Concentrations of PM2. NH 4 and NO 3 at site ANGI in vs... PARTICLE SIZE DISTRIBUTIONS Comparisons of particle size distributions between the two models pose some challenges. While represents size distribution in 3

discrete size sections, a rather straightforward manner, the modal approach in solves the changes in number and surface area for three lognormal modes. The original code released by USEPA assumed constant values for geometric mean diameter and standard deviation from emissions. A modified version of (Liang and Kaduwela, 2) allows these two parameters to be user inputs, which gives the model more flexibility. However, the model assumes the three modes to be always log-normal in the updating of PM number and surface area, and the comparison is only meaningful for dry conditions. Comparison of size distributions is thus beyond the scope of this work. 6. CPU TIMES takes about 2. CPU hours on 1 3- GHz processors (of a 16-node Linux cluster) to simulate a day during the CRPAQS winter episode and takes about 1 hours on a similar 16-node Linux cluster. 7. CONCLUSIONS We compared the simulation results, for the CRPAQS 2-21 winter episode, of two air quality models, and. While adopts the modal approach in representing particle size distributions, employs a sectional approach. The preliminary comparisons showed excellent agreements in the gas-phase species concentrations. The agreements in primary PM2. components were also satisfactory. systematically predicted slightly lower/higher secondary aerosol species concentrations, i.e., NH 4 and NO 3, at urban/rural sites. These phenomena may be explained by the differences in the partitioning methods used in the two models, i.e., dynamic () vs. equilibrium (), together with transport processes. Further investigations are needed on how to compare the size distributions between the two models. DISCLAIMER This paper has been reviewed by the staff of the California Air Resources Board and has been approved for publication. Approval does not signify that the contents necessarily reflect the views and policies of the California Air Resources Board, nor does mention of trade names or commercial products constitute endorsement or recommendation for use. ACKNOWLEDGEMENT KMZ would like to thank the San Joaquin Valley Unified Air Pollution Control District for financial support during this study. REFERENCES Liang, J. and A. Kaduwela, 2: Micro development of for California Regional Particulate-Matter Air Quality Study. This issue. Potukuchi, S. and A. S. Wexler, 199a: Identifying solid-aqueous phase transitions in atmospheric aerosols: I. Neutral-acidity solutions. Atmos. Environ. 29:1663-1676 Potukuchi, S. and A. S. Wexler, 199b: Identifying solid-aqueous phase transitions in atmospheric aerosols: II. Acidic solutions. Atmos. Environ. 29:337-3364 Sun Q and A. S. Wexler, 1998a: Modeling urban and regional aerosols - Condensation and evaporation near acid neutrality. Atmos. Environ. 32 (2): 327-331 Sun, Q. and A.S. Wexler, 1998b: Modeling urban and regional aerosols near acid neutrality - Application to the June 24-2 SCAQS episode. Atmos. Environ. 32:333-34 Wexler AS, Clegg SL (22) Atmospheric aerosol models for systems including the ions H+, NH4+, Na+, SO42-, NO3-,Cl-, Br-, and H2O. J. Geophys. Res. 17 (D14): art. no. 427 Wexler, A.S. and J.H. Seinfeld, 199: The distribution of ammonium salts among a size and composition dispersed aerosol. Atmos. Environ. 24A (): 1231 1246 Wexler, A.S. and J.H. Seinfeld, 1991: Secondgeneration inorganic aerosol model. Atmos. Environ. 2A (): 2731 2748 Wexler, A.S., F.W. Lurmann and J.H. Seinfeld, 1994: Modeling urban and regional aerosols I. Model development. Atmos. Environ. 28(3): 31 46 4

Zhang, K.M. and A.S. Wexler, 2a: An asynchronous integrator for atmospheric applications Aerosol dynamics. Manuscript in preparation. Zhang, K.M. and A.S. Wexler, 2b: Modeling urban and regional aerosols Development of model. Manuscript in preparation. Zhang, Y., C. Seigneur, J.H. Seinfeld, M. Jacobson, S.L. Clegg, and F.S. Binkowski, 2: A comparative review of inorganic aerosol thermodynamic equilibrium modules: Similarities, differences, and their likely causes, Atmos. Environ. 34(1):117-137.