two dimensional mathematical model of unsteady flow in lakes and estuaries using symmetrical grid

in this study, a method which is based on the integration of navier-stokes and continuity equations has been used to develop the governing equations. in these equations the coriolis acceleration and the effect of wind also have been considered. the main application of the model is to solve two dimensional problems with free surface in the plane. the offshore engineering projects and the hydrodynamic problems of lakes and estuaries can be mentioned as application examples of the model. the required data are the geometry of the medium, bed roughness coefficient, wind velocity and geographical coordinates of the medium. since the problem to be solved is basically unsteady, in addition to the boundary condition, initial conditions should also be given. several numerical tests have been performed to check the model and quite satisfactory results have been observed.