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Variational Data Assimilation of Tides

Supporting Files


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  • Journal Title:
    Journal of Marine Science and Engineering
  • Personal Author:
  • NOAA Program & Office:
  • 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:
  • Source:
    Journal of Marine Science and Engineering, 8(1), 54
  • DOI:
  • Document Type:
    Journal Article
  • License:
  • Rights Information:
    CC BY
  • Compliance:
    Library
  • Main Document Checksum:
    urn:sha-512:8cf701c0ac8a6ba576325d7764a60e1bb5347a12ce020616174b4ef5d0e4348cfa27fe5df366180afdee40af93ef709082ce3faa17e6c93e17c8182fa06adfa0
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  • File Type:
    Filetype[PDF - 6.59 MB ]
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