Comparison of forms of the viscous shallow-water equations in the boundary-fitted coordinates

In order to determine robustness of the models based on the viscous shallow-water equations in the boundary-fitted coordinates the solution characteristics of the boundary-value problem are compared for different forms of equations in contravariant, covariant and Cartesian presentations of the velocity. Distinctions between these forms associated with presentation of advection and eddy viscosity in their approximation on a curvilinear grid are established. A boundary-value problem for the tidal dynamics computation in the Strait of Messina (Mediterranean Sea) is formulated with use of different forms of equations in the boundary-fitted coordinates. An estimation and comparison of the modelling results are performed.