NDLI: An Explicit Data Assimilation Scheme for a Nonlinear Wave Prediction Model Based on a Pseudo-Spectral Method

Content Provider	IEEE Xplore Digital Library
Author	Seongjin Yoon Jinwhan Kim Wooyoung Choi
Copyright Year	1976
Abstract	A robust data assimilation scheme is presented for a wave model to predict evolving nonlinear ocean waves. The Fourier coefficients of the surface elevation and the free surface velocity potential are chosen for state variables and are propagated in time by solving numerically a set of nonlinear evolution equations using a pseudo-spectral method. The numerical solutions are then updated with noise corrupted measurements of the surface elevation with the aid of an explicit Kalman filter for which the time evolution of the error covariance matrix is found explicitly by solving analytically the linearized wave prediction model. After presenting an error analysis for this explicit data assimilation scheme, numerical simulations of the integrated nonlinear wave prediction model for long-crested waves of varying wave steepness are performed by using synthetic data with different noise characteristics. It is shown that the estimated surface wave fields agree well with the true states, and the present data assimilation scheme based on the explicit Kalman filter improves considerably the computational efficiency and stability, in comparison with a standard Kalman filter for which the error covariance matrix is found numerically.
Sponsorship	IEEE Oceanic Engineering Society
Starting Page	112
Ending Page	122
Page Count	11
File Size	1888885
File Format	PDF
ISSN	03649059
Volume Number	41
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2016-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Covariance matrices Predictive models Numerical models Mathematical model Kalman filters Data assimilation Surface waves wave prediction Kalman filter pseudo-spectral wave model
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Mechanical Engineering Electrical and Electronic Engineering

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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