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A Kalman Filter Application to a Spectral Wave Model : Volume 12, Issue 6 (09/08/2005)

By Pinto, J. P.

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Book Id: WPLBN0004019724
Format Type: PDF Article :
File Size: Pages 8
Reproduction Date: 2015

Title: A Kalman Filter Application to a Spectral Wave Model : Volume 12, Issue 6 (09/08/2005)  
Author: Pinto, J. P.
Volume: Vol. 12, Issue 6
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Silva, A. P., Bernadino, M. C., & Pinto, J. P. (2005). A Kalman Filter Application to a Spectral Wave Model : Volume 12, Issue 6 (09/08/2005). Retrieved from

Description: Marinha, Instituto Hidrográfico, Portugal. A sequential time dependent data assimilation scheme based on the Kalman filter is applied to a spectral wave model. Usually, the first guess covariance matrices used in optimal interpolation schemes are exponential spreading functions, which remain constant. In the present work the first guess correlation errors evolve in time according to the dynamic constraints of the wave model. A system error noise is deduced and used to balance numerical errors. The assimilation procedure is tested in a standard situation of swell propagation, where the Kalman filter is used to assimilate the significant wave height. The evolution of the wave field is described by a linear two-dimensional advection equation and the propagation of the error covariance matrix is derived according to Kalman's linear theory. Model simulations were performed in a 2-dimensional domain with deep-water conditions, a relatively small surface area and without wind forcing or dissipation. A true state simulation and a first guess simulation were used to illustrate the assimilation outcome, showing a reasonable performance of the Kalman filter.

A Kalman filter application to a spectral wave model


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