Abstract

A finite element model of the flow in the Bosphorus strait based on the shallow water equations is presented. The Petrov-Galerkin approach is used for spatial discretization. An unstructured grid with linear triangular elements is employed. Integration of the resulting ordinary differential equation system with respect to time is based on the implicit trapezoidal rule. The advection-diffusion equation for the contaminant transport is solved similarly. The results are compared with in situ measurement values. It is concluded that the shallow water model is a very practical tool to study the contaminant transport in the Bosphorus strait even though the actual flow field includes density counter currents in the lower levels, necessitating a true 3-D model to be represented.

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