The Local Ensemble Transform Kalman Filter with the Weather Research and Forecasting Model: Experiments with Real Observations

The local ensemble transform Kalman filter (LETKF) is implemented with the Weather Research and Forecasting (WRF) model, and real observations are assimilated to assess the newly-developed WRF-LETKF system. The WRF model is a widely-used mesoscale numerical weather prediction model, and the LETKF is an ensemble Kalman filter (EnKF) algorithm particularly efficient in parallel computer architecture. This study aims to provide the basis of future research on mesoscale data assimilation using the WRF-LETKF system, an additional testbed to the existing EnKF systems with the WRF model used in the previous studies. The particular LETKF system adopted in this study is based on the system initially developed in 2004 and has been continuously improved through theoretical studies and wide applications to many kinds of dynamical models including realistic geophysical models. Most recent and important improvements include an adaptive covariance inflation scheme which considers the spatial and temporal inhomogeneity of inflation parameters. Experiments show that the LETKF successfully assimilates real observations and that adaptive inflation is advantageous. Additional experiments with various ensemble sizes show that using more ensemble members improves the analyses consistently.

[1]  T. Miyoshi The Gaussian Approach to Adaptive Covariance Inflation and Its Implementation with the Local Ensemble Transform Kalman Filter , 2011 .

[2]  Istvan Szunyogh,et al.  A Local Ensemble Kalman Filter for Atmospheric Data Assimilation , 2002 .

[3]  Takemasa Miyoshi,et al.  Ensemble Kalman Filter and 4D-Var Intercomparison with the Japanese Operational Global Analysis and Prediction System , 2010 .

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

[6]  Kayo Ide,et al.  “Variable localization” in an ensemble Kalman filter: Application to the carbon cycle data assimilation , 2011 .

[7]  Jeffrey L. Anderson,et al.  The Data Assimilation Research Testbed: A Community Facility , 2009 .

[8]  Takemasa Miyoshi,et al.  ENSEMBLE KALMAN FILTER EXPERIMENTS WITH A PRIMITIVE-EQUATION GLOBAL MODEL , 2005 .

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

[10]  Istvan Szunyogh,et al.  Assessing a local ensemble Kalman filter: perfect model experiments with the National Centers for Environmental Prediction global model , 2005 .

[11]  F. Molteni Atmospheric simulations using a GCM with simplified physical parametrizations. I: model climatology and variability in multi-decadal experiments , 2003 .

[12]  Istvan Szunyogh,et al.  A local ensemble transform Kalman filter data assimilation system for the NCEP global model , 2008 .

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

[14]  斉藤 和雄,et al.  WWRP Beijing 2008 Olympics forecast demonstration/research and development project (B08FDP/RDP) , 2010 .

[15]  G. Powers,et al.  A Description of the Advanced Research WRF Version 3 , 2008 .

[16]  K. Emanuel,et al.  Optimal Sites for Supplementary Weather Observations: Simulation with a Small Model , 1998 .

[17]  S. Greybush Mars Weather and Predictability: Modeling and Ensemble Data Assimilation of Spacecraft Observations , 2011 .

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

[19]  E. Lorenz Predictability of Weather and Climate: Predictability – a problem partly solved , 2006 .

[20]  E. Kalnay,et al.  Four-dimensional ensemble Kalman filtering , 2004 .

[21]  Takemasa Miyoshi,et al.  Local Ensemble Transform Kalman Filtering with an AGCM at a T159/L48 Resolution , 2007 .

[22]  Hisashi Nakamura,et al.  10-km Mesh Meso-scale Resolving Simulations of the Global Atmosphere on the Earth Simulator - Preliminary Outcomes of AFES (AGCM for the Earth Simulator) - , 2004 .

[23]  Russell L. Elsberry,et al.  Tropical Cyclone Structure (TCS08) Field Experiment Science Basis, Observational Platforms, and Strategy , 2008 .

[24]  Istvan Szunyogh,et al.  Efficient data assimilation for spatiotemporal chaos: A local ensemble transform Kalman filter , 2005, physics/0511236.

[25]  Ji-Sun Kang Carbon cycle data assimilation using a coupled atmosphere-vegetation model and the local ensemble transform Kalman filter , 2009 .

[26]  Jimy Dudhia,et al.  Four-Dimensional Variational Data Assimilation for WRF : Formulation and Preliminary Results , 2009 .

[27]  Alexander F. Shchepetkin,et al.  The regional oceanic modeling system (ROMS): a split-explicit, free-surface, topography-following-coordinate oceanic model , 2005 .

[28]  Jordan G. Powers,et al.  A Description of the Advanced Research WRF Version 2 , 2005 .

[29]  Craig H. Bishop,et al.  Adaptive sampling with the ensemble transform Kalman filter , 2001 .

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

[31]  E. Kostelich,et al.  An ensemble Kalman filter data assimilation system for the martian atmosphere: Implementation and simulation experiments , 2010 .

[32]  Sim D. Aberson,et al.  The Impact of Dropwindsonde Observations on Typhoon Track Forecasts in DOTSTAR and T-PARC , 2011 .

[33]  Takemasa Miyoshi,et al.  Applying a Four-dimensional Local Ensemble Transform Kalman Filter (4D-LETKF) to the JMA Nonhydrostatic Model (NHM) , 2006 .

[34]  Takemasa Miyoshi,et al.  Localizing the Error Covariance by Physical Distances within a Local Ensemble Transform Kalman Filter (LETKF) , 2007 .

[35]  Yoshiaki Sato,et al.  Assimilating Satellite Radiances with a Local Ensemble Transform Kalman Filter (LETKF) Applied to the JMA Global Model (GSM) , 2007 .

[36]  Kevin Hamilton,et al.  Comprehensive Model Simulation of Thermal Tides in the Martian Atmosphere , 1996 .