Real-Time Flow in Unstratified Shallow Water

Abstract
A finite element model for prediction of time-dependent flow in shallow coastal areas is presented herein. The model is based upon the vertically integrated equations of motion combined with the hydrostatic assumption and is applicable to water bodies without vertical stratification. The time integration scheme evolves on a grid with variables staggered in time and is conditionally stable. Consistent treatment of boundaries is facilitated by the flexible grid layout, and the finite element method allows straightforward treatment of convective terms throughout the domain. All variables are defined at the same points in space. The model is applied to predict tidal flow and the flow induced by a hypothetical cooling water circulation system.

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