Variational Data Assimilation of Tides

Shi, Lei; Tang, Liujuan; Myers, Edward

doi:10.3390/jmse8010054

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i

Variational Data Assimilation of Tides

2020
By Shi, Lei ; Tang, Liujuan ; Myers, Edward
Source: Journal of Marine Science and Engineering, 8(1), 54

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Details:

Journal Title:

Journal of Marine Science and Engineering
Personal Author:

Shi, Lei ; Tang, Liujuan ; Myers, Edward

Shi, Lei ; Tang, Liujuan ; Myers, Edward Less -
NOAA Program & Office:

NOS (National Ocean Service) ; OCS (Office of Coast Survey)

NOS (National Ocean Service) ; OCS (Office of Coast Survey) Less -
Description:

This paper presents an incremental variational method to assimilate the observed tidal harmonic constants using a frequency domain linearized shallow water equation. A cost function was constructed with tidal boundary conditions and tidal forcing as its control (independent) variables. To minimize the cost function, optimal boundary conditions and tidal forcing were derived using a conventional dual 4-Dimensional Variational (4D-Var) Physical-space Statistical Analysis System. The tangent linear and adjoint model were solved by using a finite element method. By adapting the incremental form, the variational method streamlines the workflow to provide the incremental correction to the boundary conditions and tidal forcing of a hydrodynamic forward model. The method was tested for semi-diurnal M-2 tides in a regional sea with a complex tidal system. The results demonstrate a 65-72% reduction of tidal harmonic constant vector error by assimilating the observed M-2 tidal harmonic constants. In addition to improving the tides of a hydrodynamic model by optimizing boundary conditions and tidal forcing, the method computes a spatially varying uncertainty of individual tidal constituents in the model. The method provides a versatile tool for mapping the spatially continuous tides and currents in coastal and estuarine waters by assimilating the harmonic constants of individual tidal constituents of observed tides and currents.
Keywords:

[+]

Mathematical Models Tides
Source:

Journal of Marine Science and Engineering, 8(1), 54
DOI:

https://doi.org/10.3390/jmse8010054
Document Type:

Journal Article
License:

https://creativecommons.org/licenses/by/4.0/
Rights Information:

CC BY
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Library
Main Document Checksum:

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urn:sha256:2c146d7fd5366c0811b1d3b8581bda1ed37ffe608552f046ce498e0b33e3362e
Download URL:

https://repository.library.noaa.gov/view/noaa/51269/noaa_51269_DS1.pdf
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