Correction of systematic error and estimation of confidence limits for one data assimilation methodстатья
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 8 января 2021 г.
Аннотация:The paper studies the properties of the previously proposed method for assimilating observational data into a hydrodynamic model, which is an author’s version of the generalized Kalman filter. This method generalizes the well-known ensemble Kalman filter method. The equations of the generalized Kalman filter are extended to the case when the initial hydrodynamic model is biased relative to the observations, that is, it has a systematic error. In addition, the problemof estimating the confidence limits of the model variables (analysis) constructed after assimilation is considered. The corresponding Fokker–Planck–Kolmogorov equation for these estimates is given. For a special case, which is usually encountered in practice, an analytical solution of this equation is given by the perturbation theory method. Numerical examples are also carried out for a specific dynamic model, and an analysis is discussed of these calculations.