Back and forth nudging algorithm for data assimilation problems
نویسندگان
چکیده
منابع مشابه
The ”Back and Forth Nudging” algorithm for oceanographic data assimilation
In this paper, we generalize the so-called “nudging” algorithm in order to identify the initial condition of a dynamical system from experimental observations. The standard nudging algorithm consists in adding to the state equations of a dynamical system a feedback term, which is proportional to the difference between the observation and its equivalent quantity computed by the resolution of the...
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Data assimilation consists in estimating the state of a system by combining via numerical methods two different sources of information: models and observations. Nudging can be seen as a relaxation method, by applying a Newtonian recall of the state value toward its direct observation. The Back and Forth Nudging algorithm consists in iteratively and alternately solving forward and backward in ti...
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English: In this paper, we consider the back and forth nudging algorithm that has been introduced for data assimilation purposes. It consists of iteratively and alternately solving forward and backward in time the model equation, with a feedback term to the observations. We consider the case of 1-dimensional transport equations, either viscous or inviscid, linear or not (Bürgers’ equation). Our...
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This paper deals with a new data assimilation algorithm, called Back and Forth Nudging. The standard nudging technique consists in adding to the equations of the model a relaxation term that is supposed to force the observations to the model. The BFN algorithm consists in repeatedly performing forward and backward integrations of the model with relaxation (or nudging) terms, using opposite sign...
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We present Data Assimilation experiments under the OSSE framework using NEMO ocean model and the Back and Forth Nudging (BFN). This algorithm consists in initially solving the forward equations with a nudging term (forcing term proportional to the difference between the model state and the observations), and then, using the final state as an initial condition, in solving the same equations in a...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2005
ISSN: 1631-073X
DOI: 10.1016/j.crma.2005.05.006