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Front. Inform. Technol. Electron. Eng.  2013, Vol. 14 Issue (8): 634-641    DOI: 10.1631/jzus.C1300024
    
Notes and correspondence on ensemble-based three-dimensional variational filters
Hong-ze Leng, Jun-qiang Song, Fu-kang Yin, Xiao-qun Cao
College of Computer, National University of Defense Technology, Changsha 410073, China
Notes and correspondence on ensemble-based three-dimensional variational filters
Hong-ze Leng, Jun-qiang Song, Fu-kang Yin, Xiao-qun Cao
College of Computer, National University of Defense Technology, Changsha 410073, China
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摘要： Several ensemble-based three-dimensional variational (3D-Var) filters are compared. These schemes replace the static background error covariance of the traditional 3D-Var with the ensemble forecast error covariance, but generate analysis ensemble anomalies (perturbations) in different ways. However, it is demonstrated in this paper that they are all theoretically equivalent to the ensemble transformation Kalman filter (ETKF). Furthermore, a new method named EnPSAS is presented. The analysis shows that EnPSAS has a small condition number and can apply covariance localization more easily than other ensemble-based 3D-Var methods.
关键词： 3D-Var;  Ensemble Kalman filter (EnKF);  Ensemble transformation Kalman filter (ETKF);  Physical space analysis system (PSAS);  Ensemble data assimilation    
Abstract: Several ensemble-based three-dimensional variational (3D-Var) filters are compared. These schemes replace the static background error covariance of the traditional 3D-Var with the ensemble forecast error covariance, but generate analysis ensemble anomalies (perturbations) in different ways. However, it is demonstrated in this paper that they are all theoretically equivalent to the ensemble transformation Kalman filter (ETKF). Furthermore, a new method named EnPSAS is presented. The analysis shows that EnPSAS has a small condition number and can apply covariance localization more easily than other ensemble-based 3D-Var methods.
Key words: 3D-Var    Ensemble Kalman filter (EnKF)    Ensemble transformation Kalman filter (ETKF)    Physical space analysis system (PSAS)    Ensemble data assimilation
收稿日期: 2013-01-20 出版日期: 2013-08-02
CLC:  TP302.7  
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Hong-ze Leng
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Xiao-qun Cao

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Hong-ze Leng, Jun-qiang Song, Fu-kang Yin, Xiao-qun Cao. Notes and correspondence on ensemble-based three-dimensional variational filters. Front. Inform. Technol. Electron. Eng., 2013, 14(8): 634-641.

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http://www.zjujournals.com/xueshu/fitee/CN/10.1631/jzus.C1300024    或    http://www.zjujournals.com/xueshu/fitee/CN/Y2013/V14/I8/634

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