Four-dimensional data assimilation method based on SVD: Theoretical aspect |
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| Authors: | C Qiu J Chou |
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| Institution: | (1) Key Laboratory of Arid Climatic Changing and Reducing Disaster of Gansu Province, College of Atmospheric Sciences, Lanzhou University, China |
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| Abstract: | Summary A new method of four-dimensional data assimilation based on Singular Value Decomposition (SVD) is proposed. In it, a set of
atmospheric states is obtained by integrating a numerical weather prediction model and simulated observations are taken and
calculated from the model variables. Then the SVD technique is used to create the base vectors from this coupled data set.
Finally, the analysis is obtained by projecting actual observation data into a space spanned by the base vectors. Using this
approach, the four-dimensional data assimilation becomes a simple linear inverse problem the linearization of the nonlinear
forward model is avoided, and the developments of the adjoint and background error covariance matrix are no longer needed.
Since the SVD technique is used here, the method is simply called 4DSVD. |
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