Additive Noise for Storm-Scale Ensemble Data Assimilation

Abstract An “additive noise” method for initializing ensemble forecasts of convective storms and maintaining ensemble spread during data assimilation is developed and tested for a simplified numerical cloud model (no radiation, terrain, or surface fluxes) and radar observations of the 8 May 2003 Oklahoma City supercell. Every 5 min during a 90-min data-assimilation window, local perturbations in the wind, temperature, and water-vapor fields are added to each ensemble member where the reflectivity observations indicate precipitation. These perturbations are random but have been smoothed so that they have correlation length scales of a few kilometers. An ensemble Kalman filter technique is used to assimilate Doppler velocity observations into the cloud model. The supercell and other nearby cells that develop in the model are qualitatively similar to those that were observed. Relative to previous storm-scale ensemble methods, the additive-noise technique reduces the number of spurious cells and their negativ...

[1]  Mingjing Tong,et al.  Ensemble kalman filter assimilation of doppler radar data with a compressible nonhydrostatic model : OSS experiments , 2005 .

[2]  H. D. Orville,et al.  Bulk Parameterization of the Snow Field in a Cloud Model , 1983 .

[3]  Clifford F. Mass,et al.  Aspects of Effective Mesoscale, Short-Range Ensemble Forecasting , 2005 .

[4]  S. Cohn,et al.  Ooce Note Series on Global Modeling and Data Assimilation Construction of Correlation Functions in Two and Three Dimensions and Convolution Covariance Functions , 2022 .

[5]  P. Houtekamer,et al.  A Sequential Ensemble Kalman Filter for Atmospheric Data Assimilation , 2001 .

[6]  Jeffrey L. Anderson An Ensemble Adjustment Kalman Filter for Data Assimilation , 2001 .

[7]  A. Jazwinski Stochastic Processes and Filtering Theory , 1970 .

[8]  Erik N. Rasmussen,et al.  Precipitation and Evolution Sensitivity in Simulated Deep Convective Storms: Comparisons between Liquid-Only and Simple Ice and Liquid Phase Microphysics* , 2004 .

[9]  H. D. Orville,et al.  Radar Reflectivity Factor Calculations in Numerical Cloud Models Using Bulk Parameterization of Precipitation , 1975 .

[10]  D. Burgess,et al.  A Dual-Polarization-Radar-Based Assessment of the 8 May 2003 Oklahoma City Area Tornadic Supercell , 2008 .

[11]  David J. Stensrud,et al.  Surface Data Assimilation Using an Ensemble Kalman Filter Approach with Initial Condition and Model Physics Uncertainties , 2005 .

[12]  P. Houtekamer,et al.  An Adaptive Ensemble Kalman Filter , 2000 .

[13]  J. Klemp,et al.  The Simulation of Three-Dimensional Convective Storm Dynamics , 1978 .

[14]  Harold E. Brooks,et al.  Using Ensembles for Short-Range Forecasting , 1999 .

[15]  Juanzhen Sun,et al.  Impacts of Initial Estimate and Observation Availability on Convective-Scale Data Assimilation with an Ensemble Kalman Filter , 2004 .

[16]  Louis J. Wicker,et al.  Wind and Temperature Retrievals in the 17 May 1981 Arcadia, Oklahoma, Supercell: Ensemble Kalman Filter Experiments , 2004 .

[17]  Juanzhen Sun,et al.  Real-Time Low-Level Wind and Temperature Analysis Using Single WSR-88D Data , 2001 .

[18]  Chris Snyder,et al.  A Comparison between the 4DVAR and the Ensemble Kalman Filter Techniques for Radar Data Assimilation , 2005 .

[19]  R. Buizza,et al.  A Comparison of the ECMWF, MSC, and NCEP Global Ensemble Prediction Systems , 2005 .

[20]  Jeffrey L. Anderson Spatially and temporally varying adaptive covariance inflation for ensemble filters , 2009 .

[21]  C. Snyder,et al.  A Multicase Comparative Assessment of the Ensemble Kalman Filter for Assimilation of Radar Observations. Part I: Storm-Scale Analyses , 2009 .

[22]  J. Whitaker,et al.  Ensemble Data Assimilation without Perturbed Observations , 2002 .

[23]  P. Houtekamer,et al.  Data Assimilation Using an Ensemble Kalman Filter Technique , 1998 .

[24]  Jeffrey L. Anderson,et al.  A Monte Carlo Implementation of the Nonlinear Filtering Problem to Produce Ensemble Assimilations and Forecasts , 1999 .

[25]  Louis J. Wicker,et al.  Time-Splitting Methods for Elastic Models Using Forward Time Schemes , 2002 .

[26]  K. Browning Airflow and Precipitation Trajectories Within Severe Local Storms Which Travel to the Right of the Winds , 1964 .

[27]  Arlindo da Silva,et al.  Data assimilation in the presence of forecast bias , 1998 .

[28]  P. L. Houtekamer,et al.  Ensemble Kalman filtering , 2005 .

[29]  David J. Stensrud,et al.  Effects of Upper-Level Shear on the Structure and Maintenance of Strong Quasi-Linear Mesoscale Convective Systems , 2006 .

[30]  D. Burgess High resolution analyses of the 8 May 2003 Oklahoma City storm, part 1: Storm structure and evolution from radar data , 2004 .

[31]  Paul L. Smith Equivalent Radar Reflectivity Factors for Snow and Ice Particles , 1984 .

[32]  J. Whitaker,et al.  Accounting for the Error due to Unresolved Scales in Ensemble Data Assimilation: A Comparison of Different Approaches , 2005 .

[33]  G. Evensen Sequential data assimilation with a nonlinear quasi‐geostrophic model using Monte Carlo methods to forecast error statistics , 1994 .

[34]  J. Whitaker,et al.  Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter , 2001 .

[35]  C. Doswell,et al.  Severe Thunderstorm Evolution and Mesocyclone Structure as Related to Tornadogenesis , 1979 .

[36]  D. Dowell High resolution analyses of the 8 May 2003 Oklahoma City storm. Part II: EnKF data assimilation and forecast experiments , 2004 .

[37]  C. Snyder,et al.  Assimilation of Simulated Doppler Radar Observations with an Ensemble Kalman Filter , 2003 .