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Advection-Dispersion Predictions for Inland and Coastal Waters Using a Finite-Volume Method

Author(s): Johannes Vassiliou Soulis; Constantinos Eythimiou Zorbas

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Abstract: A numerical model for the solution of the 2-D advection-dispersion equations of conservative pollutants for inland and coastal wators is presented. A non-orthogonal boundary-fitted computational grid is employed. Local transformations are introduced through which physical plane quadrilateral finite-volumes are mapped into computationalsquares where the governing partial differential equations are to be solved. Thus, the computational grid consists ofequidistant lylocated nodes. Therefore, boundary conditions regarding irregularly shaped flow regions are easily treated. At appropriate regional areas, the grid can be either dense or sparse depending upon the expected rate of change of the flow properties. The method was tested againstone and two dimensional analytical solutions as well as against the predictions of a standard two-dimensional ADI humerical scheme. The comparisons were satisfactory. Some predictions have also been derived for the Pagasitikos Gult (Thessaly, Central Hellas). However, these 'predictions have not yet been verified. The method was proved to be accurate, fast andreliable for the purpose it was set forth. Near future expansions will includea) anadequate solution of the velovity flow field which will be coupled with thc advection-dispersion equation and, later on, b) the three-dimensional behaviour of the advection-dispersion phenomena.

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Year: 1991

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