Editorial Type:
Article
Article Type:
Research Article

An Entropy Approach to Tuning Weights and Smoothing in the Generalized Inversion

Gennady A. Kivman St. Petersburg Branch, P. P. Shirshov Institute of Oceanology, Russian Academy of Sciences, St. Petersburg, Russia

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Alexandre L. Kurapov St. Petersburg Branch, P. P. Shirshov Institute of Oceanology, Russian Academy of Sciences, St. Petersburg, Russia

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Alina V. Guessen St. Petersburg Branch, P. P. Shirshov Institute of Oceanology, Russian Academy of Sciences, St. Petersburg, Russia

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Print Publication:
01 Feb 2001
DOI:
https://doi.org/10.1175/1520-0426(2001)018<0266:AEATTW>2.0.CO;2
Page(s):
266–276
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Abstract

Weak constraint data assimilation involves a certain number of weighting and smoothing parameters. The authors present an approach to estimate them based on maximizing the entropy. Because application of this rigorous scheme to large-dimensional data assimilation problems is a tedious task, the authors also consider a simplified version of the entropy method, which assumes maximizing a data cost as a function of relative data weights. It is proven to be equivalent to maximizing the entropy under certain assumptions. In the scope of this method, the authors have also proposed a smoothing procedure necessary for very fine grids. The schemes have been checked using a tidal channel model for Tatarsky Strait.

Corresponding author address: Dr. Gennady Kivman, Alfred Wegener Institute for Polar and Marine Research, Columbusstrasse Postfach 120161, 27515 Bremerhaven, Germany.

Email: gkivman@awi_bremerhaven.de

Abstract

Weak constraint data assimilation involves a certain number of weighting and smoothing parameters. The authors present an approach to estimate them based on maximizing the entropy. Because application of this rigorous scheme to large-dimensional data assimilation problems is a tedious task, the authors also consider a simplified version of the entropy method, which assumes maximizing a data cost as a function of relative data weights. It is proven to be equivalent to maximizing the entropy under certain assumptions. In the scope of this method, the authors have also proposed a smoothing procedure necessary for very fine grids. The schemes have been checked using a tidal channel model for Tatarsky Strait.

Corresponding author address: Dr. Gennady Kivman, Alfred Wegener Institute for Polar and Marine Research, Columbusstrasse Postfach 120161, 27515 Bremerhaven, Germany.

Email: gkivman@awi_bremerhaven.de

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