Identification of shallow sea models

P.G.J. ten Brummelhuis, A.W. Heemink, H.F.P. van den Boogaard

    Research output: Contribution to journalArticleAcademic

    36 Citations (Scopus)
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    Abstract

    In this paper we consider a parameter estimation procedure for shallow sea models. The method is formulated as a minimization problem. An adjoint model is used to calculate the gradient of the criterion which is to be minimized. In order to obtain a robust estimation method, the uncertainty of the open boundary conditions can be taken into acoount by allowing random noise inputs to act on the open boundaries. This method avoids the possibility that boundary errors are interpreted by the estimation procedure as parameter fluctuations. We apply the parameter estimation method to identify a shallow sea model of the entire European continental shelf. First, a space-varying bottom friction coefficient is estimated simultaneously with the depth. The second application is the estimation of the parameterization of the wind stress coefficient as a function of the wind velocity. Finally, an uncertain open boundary condition is included. It is shown that in this case the parameter estimation procedure does become more robust and produces more realistic estimates. Furthermore, an estimate of the open boundary conditions is also obtained.
    Original languageUndefined
    Pages (from-to)637-665
    JournalInternational journal for numerical methods in fluids
    Volume17
    Issue number8
    DOIs
    Publication statusPublished - 1993

    Keywords

    • Modelling uncertain boundaries
    • Parameter estimation
    • IR-71016
    • Tidal models
    • Maximum Likelihood

    Cite this

    ten Brummelhuis, P. G. J., Heemink, A. W., & van den Boogaard, H. F. P. (1993). Identification of shallow sea models. International journal for numerical methods in fluids, 17(8), 637-665. https://doi.org/10.1002/fld.1650170802
    ten Brummelhuis, P.G.J. ; Heemink, A.W. ; van den Boogaard, H.F.P. / Identification of shallow sea models. In: International journal for numerical methods in fluids. 1993 ; Vol. 17, No. 8. pp. 637-665.
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    abstract = "In this paper we consider a parameter estimation procedure for shallow sea models. The method is formulated as a minimization problem. An adjoint model is used to calculate the gradient of the criterion which is to be minimized. In order to obtain a robust estimation method, the uncertainty of the open boundary conditions can be taken into acoount by allowing random noise inputs to act on the open boundaries. This method avoids the possibility that boundary errors are interpreted by the estimation procedure as parameter fluctuations. We apply the parameter estimation method to identify a shallow sea model of the entire European continental shelf. First, a space-varying bottom friction coefficient is estimated simultaneously with the depth. The second application is the estimation of the parameterization of the wind stress coefficient as a function of the wind velocity. Finally, an uncertain open boundary condition is included. It is shown that in this case the parameter estimation procedure does become more robust and produces more realistic estimates. Furthermore, an estimate of the open boundary conditions is also obtained.",
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    ten Brummelhuis, PGJ, Heemink, AW & van den Boogaard, HFP 1993, 'Identification of shallow sea models', International journal for numerical methods in fluids, vol. 17, no. 8, pp. 637-665. https://doi.org/10.1002/fld.1650170802

    Identification of shallow sea models. / ten Brummelhuis, P.G.J.; Heemink, A.W.; van den Boogaard, H.F.P.

    In: International journal for numerical methods in fluids, Vol. 17, No. 8, 1993, p. 637-665.

    Research output: Contribution to journalArticleAcademic

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    T1 - Identification of shallow sea models

    AU - ten Brummelhuis, P.G.J.

    AU - Heemink, A.W.

    AU - van den Boogaard, H.F.P.

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    AB - In this paper we consider a parameter estimation procedure for shallow sea models. The method is formulated as a minimization problem. An adjoint model is used to calculate the gradient of the criterion which is to be minimized. In order to obtain a robust estimation method, the uncertainty of the open boundary conditions can be taken into acoount by allowing random noise inputs to act on the open boundaries. This method avoids the possibility that boundary errors are interpreted by the estimation procedure as parameter fluctuations. We apply the parameter estimation method to identify a shallow sea model of the entire European continental shelf. First, a space-varying bottom friction coefficient is estimated simultaneously with the depth. The second application is the estimation of the parameterization of the wind stress coefficient as a function of the wind velocity. Finally, an uncertain open boundary condition is included. It is shown that in this case the parameter estimation procedure does become more robust and produces more realistic estimates. Furthermore, an estimate of the open boundary conditions is also obtained.

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    KW - Parameter estimation

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    KW - Tidal models

    KW - Maximum Likelihood

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