[9] Mathematical aspect 3
[9-1] February 28, 14:50-15:20 |
A local hybrid data assimilation method for surface observations using vertical correlation information and flow-dependent error covariance
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Shu-Chih Yang (National Central University, Taiwan) and Jeff Steward (University of California, US) |
Abstract |
It is widely recognized that hybrid data assimilation systems combining the ensemble Kalman filter (EnKF) and the variational approach (ND-Var, where N = 1,...,4) perform better than either system alone. In this work we develop a simple local ensemble transform Kalman filter (LETKF) and local variational hybrid and use these to perform a case study of assimilating surface observations. The impact of surface observations is limited with the ensemble-based method alone due to the presence of sampling errors in the vertical. Vertical localization, often employed to counter sampling error, results in inconsistent vertical structure. In contrast, a local variational method which uses column principal components of a static (i.e. no errors-of-the-day) full-rank background error covariance creates consistent vertical updates. A hybrid method is required in order to fully take the advantage of the horizontal flow-dependent background error statistics from EnKF and the robust vertical correlation information from the static background error statistics. This concept is first proven with idealized assimilation experiments using a quasi-geostrophic model where the truth is known. Results show that when the analysis update can incorporate the vertical correlation information, the accuracy of the upper-level model states can be effectively improved and the filter divergence can be avoided. This local hybrid method is further demonstrated with an experiment that assimilates a single surface observation with the WRF model based on observations from Typhoon Dujuan in 2015. More results will be presented at the meeting. |