A local Implementation of the POD-based Ensemble 4DVar with R-Localization
TIAN Xiang-Jun
1International Center for Climate and Environment Sciences, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China 2State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
The purpose of this paper is to provide a robust and flexible implementation of a proper orthogonal decomposition-based ensemble four-dimensional variational assimilation method (PODEn4DVar) through R-localization. With R-localization, the implementation of the local PODEn4DVar analysis can be coded for parallelization with enhanced assimilation precision. The feasibility and effectiveness of the PODEn4DVar local implementation with R-localization are demonstrated in a two-dimensional shallow-water equation model with simulated observations (OSSEs) in comparison with the original version of the PODEn4DVar with B-localization and that without localization. The performance of the PODEn4DVar with localization shows a significant improvement over the scheme with no localization, particularly under the imperfect model scenario. Moreover, the R-localization scheme is capable of outperforming the B-localization case to a certain extent. Further, the assimilation experiments also demonstrate that PODEn4DVar with R-localization is most efficient due to its easy parallel implementation.
TIAN Xiang-Jun, 2014: A local Implementation of the POD-based Ensemble 4DVar with R-Localization . Atmos. Oceanic Sci. Lett., 7(1), 11-16, doi: 10.3878/j.issn.1674-2834.13.0046.