2020
DOI: 10.1002/qj.3891
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Exploring the potential and limitations of weak‐constraint 4D‐Var

Abstract: The standard formulation of 4D-Var assumes random zero-mean errors for all sources of information used in the analysis. This assumption is usually not well verified in real-world applications. The performance of a weak-constraint 4D-Var formulation ("forcing" formulation) is studied in this paper in a simplified experimental setting using additive model errors of different length-scales and observing systems of different coverage and accuracy. A set of twin experiments is carried out and results show that weak… Show more

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Cited by 16 publications
(40 citation statements)
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References 37 publications
(48 reference statements)
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“…These results confirm that estimating model error in the IFS at the rather coarse scales we are considering here is a mildly nonlinear problem, which can partly explain the success of WC-4DVar in its current configuration (Laloyaux, Bonavita, Chrust, et al, 2020;Laloyaux, Bonavita, Dahoui, et al, 2020). In the current WC-4DVar configuration only mass and (to a lesser extent) wind model errors are estimated and corrected, which also seems a good choice based on the results in Figure 2.…”
Section: Training the Annsupporting
confidence: 81%
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“…These results confirm that estimating model error in the IFS at the rather coarse scales we are considering here is a mildly nonlinear problem, which can partly explain the success of WC-4DVar in its current configuration (Laloyaux, Bonavita, Chrust, et al, 2020;Laloyaux, Bonavita, Dahoui, et al, 2020). In the current WC-4DVar configuration only mass and (to a lesser extent) wind model errors are estimated and corrected, which also seems a good choice based on the results in Figure 2.…”
Section: Training the Annsupporting
confidence: 81%
“…The results presented in this paper show a first application of ML/DL tools to the problem of model error estimation and correction in a data assimilation context. Building on recent results obtained in a WC-4DVar framework (Laloyaux, Bonavita, Dahoui, et al, 2020;Laloyaux, Bonavita, Chrust, et al, 2020), we show that the use of ANN-derived model error forecasts potentially allows to extend the benefits of the weak-constraint formulation of 4D-Var to the troposphere, which had been an intractable problem since the introduction of WC-4DVar at ECMWF more than 10 years ago. While these results need to be validated over longer testing periods and the technical infrastructure is not yet fully in place for reliable operational use, we believe these results to be promising enough to warrant actively pursuing this line of research further.…”
Section: Discussionmentioning
confidence: 75%
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“…10.1029/2020MS002232 this revised WC-4DVar implementation has been to impose scale separation between the error covariance matrices describing the spatial structures of the background error B and of the model systematic errors Q (see Laloyaux, Bonavita, Chrust, et al, 2020;Laloyaux, Bonavita, Dahoui, et al, 2020, for a detailed explanation). The scale separation allows to successfully de-alias initial state and model error corrections during the 4D-Var minimization and is consistent with the view that model biases represent a type of errors that take place on larger spatial and longer temporal scales than background errors.…”
Section: Journal Of Advances In Modeling Earth Systemsmentioning
confidence: 99%