Evaluation of nonlocal and local planetary boundary layer schemes in the WRF model

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Evaluation of nonlocal and local planetary boundary layer schemes in the WRF model Bo Xie,Jimmy C. H. Fung,Allen Chan,and Alexis Lau Received 31 October 2011; revised 13 May 2012; accepted 14 May 2012; published 21 June 2012. Chen Xinhao 2014,10,10

outline Objectives Model Setup and Configurations Results Surface variables PBL structures PBL height Conclusion

Objectives By using 10 meters wind speed,2m temperature and laser radar observation datas to assess the differences of four WRF PBL schemes.and find the preferred WRF PBL scheme for the Hong Kong region. In air quality modeling context, variation in vertical mixing intensity directly impacts pollutant dispersion characteristics. This was also have very heavy reference significance for our studied later.

Model Setup and Configurations Hong Kong territory time 2006-6-1 08:00:00~2006-6-30 00:00:00 Center latitude Domain resolution vertical stratification Top pressure 2006-11-7 08:00:00~2006-11- 30 00:00:00 28.5 N 114 E 27km,9km,3km,1km 21 sigma level 50hPa schemes Four PBL parameterization

Figure 2. Spatial distribution of observation sites in Hong Kong.

Model Setup and Configurations Four PBL parameterizations in the WRF model PBL schemes Order of closure Nonlocal mixing YSU ACM2 1st order closure Defined by empirical formula K c Counter gradient terms for u, v, and Explicit nonlocal fluxes for u, v,, and q MYJ BouLac TKE closure (1.5order) (One additional prognostic equation for TKE) K S c c le 1 2 Counter gradient terms for

YSU PBL Scheme ACM2 PBL Scheme 3 ' ' h z c z C K z t C h c c z C f K z z z C Md f Md C f MuC f t C i conv c i i i i conv i i conv conv i 1 1 1 1 1 Inverse gradient term the flux at the inversion layer scalar adjustment Model Setup and Configurations 1 3 1 3 2 0.1 1 L h a k f conv z C K z c z c ' ' To express effects of the divergence of turbulent fluxes to prognostic mean variables (C: u, v, θ, q) by vertical diffusion

Results Surface variables Jun Nov Figure 3. Mean time series of 2 m temperature over 23 sites in Jun and Nov 2006.

Table 1. Model Performance in T2 for 1 km WRF Simulations Over the Period of 8 A.M., 1st Jun to 0 A.M., 30th Jun and the Period of 8 A.M., 07th Nov to 0 A.M., 30th Nov, 2006 YSU ACM2 MYJ Boulac-Eta Boulac-MM5 2 m Temperature (Celsius) in June Determination 0.51 0.51 0.47 0.51 0.53 Index of agreement 0.76 0.80 0.77 0.80 0.80 RMSE 1.54 1.47 1.68 1.53 1.46 NMB -0.026-0.013-0.023-0.012-0.018 NME 0.044 0.040 0.048 0.042 0.041 2 m Temperature (Celsius) in November Determination 0.71 0.75 0.70 0.70 0.72 Index of agreement 0.90 0.91 0.88 0.89 0.91 RMSE 1.33 1.28 1.61 1.48 1.32 NMB -0.008 0.000-0.026-0.014-0.005 NME 0.045 0.043 0.056 0.050 0.044 a Rainy days are excluded; boldface indicates the best one among the different runs.

Figure 4. Mean time series of difference (ACM2-YSU) in surface skin temperature (TSK blue line) and difference (ACM2-YSU) in incoming radiation (green line) in November. Figure 5. Mean time series of difference (ACM2-YSU) in 2 m temperature (blue line) and difference (ACM2-YSU) in surface skin temperature (TSK green line) in November.

Figure 6. Diurnal mean time series of 2 m temperature over 23 stations in Jun and Nov 2006.

Figure 7. Mean bar chart of daily Solar-Radiation (from 8 A.M. to 6 P.M.) over 10 sites on Nov 28th and Nov 29th, 2006.

Figure 8. Mean time series of 10 m wind speed (WSP) over 40 sites in Jun and Nov 2006.

Table 2. Model Performance in 10 m Wind Speed for 1 km WRF Simulations Over the Period of 8 A.M., 1st Jun to 0 A.M., 30th Jun and the Period of 8 A.M., 07th Nov to 0 A.M., 30th Nov, 2006

Results PBL structures Figure 9. Spatially averaged vertical profiles of horizontal velocity in urban, rural and ocean regions at 2 P.M., June 8th, 2006.

Figure 10. Spatially and hourly averaged vertical profiles of potential temperature as a function of normalized height in urban, rural and ocean regions at 2 P.M. over (left) Jun. and (right) Nov.

Results PBL height Figure 11. Mean time series of PBL height over 23 sites in Jun and Nov 2006.

Figure 12. PBL Heights diagnosed by YSU, ACM2, MYJ, Boulac and lidar backscattering signals at Yuen Long station (note that 9th 12th, June and 21st 22nd, November are rainy days).

Figure 13. Diurnal mean time series of diagnosed PBL heights and mixed layer heights computed by a unified approach in (left) June and (right) November.

Conclusion By surface variables,acm2 produces the best estimation of 2 m temperature and 10 m wind speed as compared with observations in the Hong Kong region over both simulation periods, June and November. Vertical profiles of horizontal velocity and potential temperature can exhibit significant variances among the PBL schemes across the entire PBL depth. This study shows that ACM2 is a suitable PBL scheme in WRF for air quality applications in the Hong Kong geographic region. The choice of PBL schemes has been shown to result in PBL height,and is useful for us to diagnosis.