Journal list menu
Assimilating polarimetric radar data with an ensemble Kalman filter: OSSEs with a tornadic supercell storm simulated with a two-moment microphysics scheme
Kefeng Zhu
Key Laboratory of Mesoscale Severe Weather/Ministry of Education and School of Atmospheric Sciences, Nanjing University, Nanjing, China
Search for more papers by this authorCorresponding Author
Ming Xue
Key Laboratory of Mesoscale Severe Weather/Ministry of Education and School of Atmospheric Sciences, Nanjing University, Nanjing, China
Center for Analysis and Prediction of Storms and School of Meteorology, University of Oklahoma, Norman, Oklahoma
Correspondence
M. Xue, Center for Analysis and Prediction of Storms, University of Oklahoma, 120 David Boren Blvd, Norman, OK 73072, USA.
Email: [email protected]
Search for more papers by this authorKun Ouyang
Key Laboratory of Mesoscale Severe Weather/Ministry of Education and School of Atmospheric Sciences, Nanjing University, Nanjing, China
Search for more papers by this authorYoungsun Jung
Center for Analysis and Prediction of Storms and School of Meteorology, University of Oklahoma, Norman, Oklahoma
Search for more papers by this authorKefeng Zhu
Key Laboratory of Mesoscale Severe Weather/Ministry of Education and School of Atmospheric Sciences, Nanjing University, Nanjing, China
Search for more papers by this authorCorresponding Author
Ming Xue
Key Laboratory of Mesoscale Severe Weather/Ministry of Education and School of Atmospheric Sciences, Nanjing University, Nanjing, China
Center for Analysis and Prediction of Storms and School of Meteorology, University of Oklahoma, Norman, Oklahoma
Correspondence
M. Xue, Center for Analysis and Prediction of Storms, University of Oklahoma, 120 David Boren Blvd, Norman, OK 73072, USA.
Email: [email protected]
Search for more papers by this authorKun Ouyang
Key Laboratory of Mesoscale Severe Weather/Ministry of Education and School of Atmospheric Sciences, Nanjing University, Nanjing, China
Search for more papers by this authorYoungsun Jung
Center for Analysis and Prediction of Storms and School of Meteorology, University of Oklahoma, Norman, Oklahoma
Search for more papers by this authorAbstract
The impact of assimilating differential reflectivity ZDR in addition to reflectivity (ZH) and radial velocity (Vr) from a polarimetric radar on the analysis of a tornadic supercell storm using an ensemble Kalman filter (EnKF) is studied in an observing system simulation experiment (OSSE) framework assuming a perfect forecast model. A double-moment microphysics scheme is used to allow for proper simulation of polarimetric signatures. Root-mean-square errors of analysed state variables are calculated and the structure and intensity of analysed fields and derived quantities are examined. Compared to the baseline experiment assimilating radial velocity and reflectivity only, the assimilation of additional ZDR further reduces the errors of all state variables. The analysed hydrometeor fields are improved in both pattern and intensity distributions. Polarimetric signatures including ZDR and KDP columns, and ZDR arc in the supercell, are much better reproduced. Sensitivity experiments are performed that exclude the updating of hydrometeor number concentrations by ZDR or of state variables not directly linked to ZDR via observation operators. The results show that if number concentrations are not updated together with the mixing ratios, most of the benefit of assimilating ZDR is lost. Among other state variables, the updating of water vapour mixing ratio qv has the largest positive impact while the impact of updating vertical wind w comes in second. The updating of horizontal wind components or temperature has a much smaller but still noticeable impact. Reliable flow-dependent cross-covariances among the state variables and observation prior as derived from the forecast ensemble and used in EnKF are clearly very beneficial.
REFERENCES
- Anderson, J.L. (2001) An ensemble adjustment Kalman filter for data assimilation. Monthly Weather Review, 129, 2884–2903.
- Brown, B.R., Bell, M.M. and Frambach, A.J. (2016) Validation of simulated hurricane drop size distributions using polarimetric radar. Geophysical Research Letters, 43, 910–917.
- Cao, Q., Zhang, G. and Xue, M. (2013) A Variational approach for retrieving raindrop size distribution from polarimetric radar measurements in the presence of attenuation. Journal of Applied Meteorology and Climatology, 52, 169–185.
- Carlin, J.T., Gao, J., Snyder, J.C. and Ryzhkov, A.V. (2017) Assimilation of ZDR columns for improving the spinup and forecast of convective storms in storm-scale models: proof-of-concept experiments. Monthly Weather Review, 145, 5033–5057.
- Dawson, D.T., Mansell, E.R., Jung, Y., Wicker, L.J., Kumjian, M.R. and Xue, M. (2014) Low-level ZDR signatures in supercell forward flanks: the role of size sorting and melting of hail. Journal of Atmospheric Sciences, 71, 276–299.
- Dixon, M., Li, Z.H., Lean, H., Roberts, N. and Ballard, S. (2009) Impact of data assimilation on forecasting convection over the United Kingdom using a high-resolution version of the Met Office Unified Model. Monthly Weather Review, 137, 1562–1584.
- Gaspari, G. and Cohn, S.E. (1999) Construction of correlation functions in two and three dimensions. Quarterly Journal of the Royal Meteorological Society, 125, 723–757.
- Hu, M. and Xue, M. (2007) Impact of configurations of rapid intermittent assimilation of WSR-88D radar data for the 8 May 2003 Oklahoma City tornadic thunderstorm case. Monthly Weather Review, 135, 507–525.
- Hu, M., Xue, M. and Brewster, K. (2006) 3DVAR and cloud analysis with WSR-88D level-II data for the prediction of Fort Worth tornadic thunderstorms. Part I: Cloud analysis and its impact. Monthly Weather Review, 134, 675–698.
- Huang, H., Zhang, G., Zhao, K., Liu, S., Wen, L., Chen, G. and Yang, Z. (2019) Uncertainty in retrieving raindrop size distribution from polarimetric radar measurements. Journal of Atmospheric and Oceanic Technology, 36, 585–605.
- Huuskonen, A., Saltkoff, E. and Holleman, I. (2014) The operational weather radar network in Europe. Bulletin of the American Meteorological Society, 95, 897–907.
- Jung, Y., Xue, M. and Zhang, G. (2010a) Simultaneous estimation of microphysical parameters and the atmospheric state using simulated polarimetric radar data and ensemble Kalman filter in the presence of observation operator error. Monthly Weather Review, 138, 539–562.
- Jung, Y., Xue, M. and Zhang, G. (2010b) Simulations of polarimetric radar signatures of a supercell storm using a two-moment bulk microphysics scheme. Journal of Applied Meteorology and Climatology, 49, 146–163.
- Jung, Y., Xue, M., Zhang, G. and Straka, J. (2008b) Assimilation of simulated polarimetric radar data for a convective storm using ensemble Kalman filter. Part II: Impact of polarimetric data on storm analysis. Monthly Weather Review, 136, 2246–2260.
- Jung, Y., Zhang, G. and Xue, M. (2008a) Assimilation of simulated polarimetric radar data for a convective storm using ensemble Kalman filter. Part I: Observation operators for reflectivity and polarimetric variables. Monthly Weather Review, 136, 2228–2245.
-
Kalnay, E. (2002) Atmospheric Modeling, Data Assimilation, and Predictability. NewYork: Cambridge University Press, 341 p.
10.1017/CBO9780511802270 Google Scholar
- Kumjian, M.R. and Ryzhkov, A.V. (2008) Polarimetric signatures in supercell thunderstorms. Journal of Applied Meteorology and Climatology, 47, 1940–1961.
- Li, X. and Mecikalski, J.R. (2010) Assimilation of the dual-polarization Doppler radar data for a convective storm with a warm-rain radar forward operator. Journal of Geophysical Research, 115, D16208. https://doi.org/10.1029/2009JD013666.
- Li, X., Mecikalski, J.R. and Posselt, D. (2017) An ice-phase microphysics forward model and preliminary results of polarimetric radar data assimilation. Monthly Weather Review, 145, 683–708.
- Liu, C., Xue, M. and Kong, R. (2019) Direct variational assimilation of radar reflectivity and radial velocity data: issues with nonlinear reflectivity operator and solutions. Monthly Weather Review, 137, 17–29. https://doi.org/10.1175/MWR-D-19-0149.1.
- Milbrandt, J.A. and Yau, M.K. (2005) A multimoment bulk microphysics parameterization. Part I: Analysis of the role of the spectral shape parameter. Journal of the Atmospheric Sciences, 62, 3051–3064.
- Putnam, B.J., Xue, M., Jung, Y., Snook, N. and Zhang, G. (2014) The analysis and prediction of microphysical states and polarimetric radar variables in a mesoscale convective system using double-moment microphysics, multinetwork radar data, and the ensemble Kalman filter. Monthly Weather Review, 142, 141–162.
- Putnam, B.J., Xue, M., Jung, Y., Snook, N. and Zhang, G. (2017a) Ensemble probabilistic prediction of a mesoscale convective system and associated polarimetric radar variables using single-moment and double-moment microphysics schemes and EnKF radar data assimilation. Monthly Weather Review, 145, 2257–2279.
- Putnam, B.J., Xue, M., Jung, Y., Snook, N. and Zhang, G. (2019) Ensemble Kalman filter assimilation of polarimetric radar observations for the 20 May 2013 Oklahoma tornadic supercell case. Monthly Weather Review, 147, 2511–2533.
- Putnam, B.J., Xue, M., Jung, Y., Zhang, G. and Kong, F. (2017b) Simulation of polarimetric radar variables from 2013 CAPS spring experiment storm-scale ensemble forecasts and evaluation of microphysics schemes. Monthly Weather Review, 145, 49–73.
- Ray, P.S., Johnson, B., Johnson, K.W., Bradberry, J.S., Stephens, J.J., Wagner, K.K., Wilhelmson, R.B. and Klemp, J.B. (1981) The morphology of severe tornadic storms on 20 May 1977. Journal of the Atmospheric Sciences, 38, 1643–1663.
- ROC. (2013) WSR-88D dual polarization deployment progress. NOAA/RadarOperations Center, 6 pp. Available at: http://www.roc.noaa.gov/WSR88D/PublicDocs/DualPol/DPstatus.pdf [Accessed 24 June 2013].
- Ryzhkov, A.V. and Zrnic, D.S. (1998) Discrimination between rain and snow with a polarimetric radar. Journal of Applied Meteorology, 37, 1228–1240.
- Sobash, R.A. and Stensrud, D.J. (2013) The impact of covariance localization for radar data on EnKF analyses of a developing MCS: observing system simulation experiments. Monthly Weather Review, 141, 3691–3709.
- Stensrud, D.J., Xue, M., Wicker, L.J., Kelleher, K.E., Foster, M.P., Schaefer, J.T., Schneider, R.S., Benjamin, S.G., Weygandt, S.S., Ferree, J.T. and Tuell, J.P. (2009) Convective-scale warn-on-forecast system. Bulletin of the American Meteorological Society, 90, 1487–1500.
- Sun, J., Xue, M., Wilson, J.W., Zawadzki, I., Ballard, S.P., Onvlee-Hooimeyer, J., Joe, P., Barker, D.M., Li, P.-W., Golding, B., Xu, M. and Pinto, J. (2013) Use of NWP for nowcasting convective precipitation: recent progress and challenges. Bulletin of the American Meteorological Society, 95, 409–426.
- Tong, M. and Xue, M. (2005) Ensemble Kalman filter assimilation of Doppler radar data with a compressible nonhydrostatic model: OSS experiments. Monthly Weather Review, 133, 1789–1807.
- Vivekanandan, J., Adams, W.M. and Bringi, V.N. (1991) Rigorous approach to polarimetric radar modeling of hydrometeor orientation distributions. Journal of Applied Meteorology, 30, 1053–1063.
- Vivekanandan, J., Ellis, S.M., Oye, R., Zrnic, D.S., Ryzhkov, A.V. and Straka, J. (1999) Cloud microphysics retrieval using S-band dual-polarization radar measurements. Bulletin of the American Meteorological Society, 80, 381–388.
- Whitaker, J.S. and Hamill, T.M. (2002) Ensemble data assimilation without perturbed observations. Monthly Weather Review, 130, 1913–1924.
- Wu, B., Verlinde, J. and Sun, J. (2000) Dynamical and microphysical retrievals from Doppler radar observations of a deep convective cloud. Journal of the Atmospheric Sciences, 57, 262–283.
- Xiao, Q., Sun, J., Lee, W.-C., Kuo, Y.-H., Barker, D.M., Lim, E., Won, D.-J., Lee, M.-S., Lee, W.-J., Cho, J.-Y., Lee, D.-K. and Lee, H.-S. (2008) Doppler radar data assimilation in KMA's operational forecasting. Bulletin of the American Meteorological Society, 89, 39–43.
- Xue, M., Droegemeier, K.K., Wong, V., Shapiro, A., Brewster, K., Carr, F., Weber, D., Liu, Y. and Wang, D. (2001) The advanced regional prediction system (ARPS) – a multiscale nonhydrostatic atmospheric simulation and prediction tool. Part II: Model physics and applications. Meteorology and Atmospheric Physics, 76, 143–165.
- Xue, M., Tong, M. and Droegemeier, K.K. (2006) An OSSE framework based on the ensemble square-root Kalman filter for evaluating impact of data from radar networks on thunderstorm analysis and forecast. Journal of Atmospheric and Oceanic Technology, 23, 46–66.
- Xue, M., Wang, D., Gao, J., Brewster, K. and Droegemeier, K.K. (2003) The Advanced Regional Prediction System (ARPS), storm-scale numerical weather prediction and data assimilation. Meteorology and Atmospheric Physics, 82, 139–170.
- Zhang, G., Mahale, V.N., Putnam, B.J., Qi, Y., Cao, Q., Byrd, A.D., Bukovcic, P., Zrnic, D.S., Gao, J., Xue, M., Jung, Y., Reeves, H.D., Heinselman, P.L., Ryzhkov, A., Palmer, R.D., Zhang, P., Weber, M., McFarquhar, G.M., Moore, B., Zhang, Y., Zhang, J., Vivekanandan, J., Al-Rashid, Y., Ice, R.L., Berkowitz, D.S., Tong, C., Fulton, C. and Doviak, R.J. (2019) Current status and future challenges of weather radar polarimetry: bridging the gap between radar meteorology/hydrology/engineering and numerical weather prediction. Advances in Atmospheric Sciences, 36, 571–588.
- Zhao, K., Huang, H., Wang, M., Lee, W.-C., Chen, G., Wen, L., Wen, J., Zhang, G., Xue, M., Yang, Z., Liu, L., Wu, C., Hu, Z. and Chen, S. (2019) Recent progress in dual-polarization radar research and applications in China. Advances in Atmospheric Sciences, 36, 961–974.
- Zhu, K., Yang, Y. and Xue, M. (2015) Percentile-based neighborhood precipitation verification and its application to a landfalling tropical storm case with radar data assimilation. Advances in Atmospheric Sciences, 32, 1449–1459.