Identification of shallow sea models. (English) Zbl 0793.76066

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

Int. J. Numer. Methods Fluids 17, No. 8, 637-665 (1993).

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 account 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.

MSC:

76M30	Variational methods applied to problems in fluid mechanics
76M20	Finite difference methods applied to problems in fluid mechanics
76B15	Water waves, gravity waves; dispersion and scattering, nonlinear interaction
86A05	Hydrology, hydrography, oceanography

Keywords:

bottom friction coefficient; wind stress coefficient; tidal models; maximum likelihood; parameter estimation; minimization problem; adjoint model; random noise; European continental shelf

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