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Practical aspects of stochastic dynamic tidal modelling
Authors:A W Heemink
Institution:(1) Data Processing Division, Rijkswaterstaat, Nijverheidsstraat 1, 2280 HV Rijswik (Z. H.), The Netherlands
Abstract:Kalman filtering for stochastic dynamic tidal models, is a hyperbolic filtering problem. The questions of observability and stability of the filter as well as the effects of the finite difference approximation on the filter performance are studied. The degradation of the performance of the filter, in case an erroneous filter model is used, is investigated. In this paper we discuss these various practical aspects of the application of Kalman filtering for tidal flow identification problems. Filters are derived on the basis of the linear shallow water equations. Analytical methods are used to study the performance of the filters under a variety of circumstances.
Keywords:shallow water equations  Kalman filtering  data assimilation  observability
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